625,212

2² × 3³ × 7 × 827

625,212 factors as 2^2 × 3^3 × 7 × 827. Its 48 positive divisors give a proper-divisor sum of 1,229,508, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,854,720

Proper Divisor Sum 1,229,508

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #625199 ← → #625213

Radix Representation

Decimal	625212
Binary	10011000101000111100 (20 bits)
Octal	0o2305074
Hexadecimal	0x98A3C

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 827 1,654 2,481 3,308 4,962 5,789 7,443 9,924 11,578 14,886 17,367 22,329 23,156 29,772 34,734 44,658 52,101 69,468 89,316 104,202 156,303 208,404 312,606 625,212

Collatz Trajectory (110 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

625,212 312,606 156,303 468,910 234,455 703,366 351,683 1,055,050 527,525 1,582,576 791,288 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812

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