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Mathify

数学

即时、私密且免费

数字资料计算器.

一次性获取一个整数的所有属性：因数、质因数分解、数字之和、罗马数字，以及二进制、十六进制和八进制形式。

此计算器尚未完全翻译——部分文本以英文显示。

设备端计算无需注册
01

输入数值

输入时结果会更新。

仅限整数，范围在 -1,000,000,000,000 到 1,000,000,000,000 之间。

使用方法

输入任意不超过1,000,000,000,000的整数，本工具将一次性给出其约数、质因数分解、数字统计及各进制表示。

当一个数的真约数（除自身外的所有约数）之和等于该数本身时，称为完全数；之和大于该数时称为过剩数；之和小于该数时称为亏数。

零可以被任何整数整除，因此不会显示有限的因数列表。罗马数字仅存在于1到3999之间，因此负数、零及更大的数会显示为短横线。

Cite this calculator

Canonical URL: https://mathify.one/zh/math/number-facts

Cite as: Mathify. (n.d.). 数字资料计算器. https://mathify.one/zh/math/number-facts

Use Cases

Math homework and number theory study

Quickly verify divisors, prime factorization, and number classification for assignments or self-study.

Example: Check if 28 is perfect and see its prime factorization as 2^2 × 7.

Programming and computer science practice

Get binary, hex, and octal representations to understand number bases or for coding exercises.

Example: Convert 255 to binary (11111111), hex (FF), and octal (377).

Frequently Asked Questions

What does the Number Facts Calculator show?
It shows divisors, prime factorization, digit sum, perfect/abundant status, Roman numeral, and binary, hex, and octal forms for any whole number you enter.
How is perfect/abundant status determined?
The calculator compares the sum of proper divisors (excluding the number itself) to the number. If the sum equals the number, it's perfect; if greater, abundant; if less, deficient.
Can I use this calculator for negative numbers or decimals?
No, it is designed for whole numbers (positive integers). Entering negative numbers or decimals may not produce meaningful results.

Tips & Common Mistakes

Tips

  • Enter a whole number between 1 and a large value (e.g., up to 10^12) for best performance; extremely large numbers may slow down the calculator.
  • Use the prime factorization to check if a number is a perfect square or cube by looking at the exponents.
  • The Roman numeral output is useful for historical dates or clock faces; note that numbers above 3999 may use overlines or not be supported.
  • Compare the digit sum with the number's divisibility by 3 or 9 to quickly check divisibility rules.

Common Mistakes to Avoid

  • Entering zero or negative numbers, which are not considered whole numbers in this context and may yield errors.
  • Assuming the perfect/abundant status is based on all divisors including the number itself; it uses proper divisors only.
  • Misreading the prime factorization format; for example, 12 is shown as 2^2 × 3, not 2×2×3.

Last updated: August 13, 2026