637,532

2² × 7 × 22769

637,532 factors as 2^2 × 7 × 22769. Its 12 positive divisors give a proper-divisor sum of 637,588, so this integer is abundant. The Collatz stopping time is 48 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 22769

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,275,120

Proper Divisor Sum 637,588

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #637531 ← → #637543

Radix Representation

Decimal	637532
Binary	10011011101001011100 (20 bits)
Octal	0o2335134
Hexadecimal	0x9BA5C

Divisor Catalog (12)

1 2 4 7 14 28 22,769 45,538 91,076 159,383 318,766 637,532

Collatz Trajectory (48 steps to reach 1)

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

637,532 318,766 159,383 478,150 239,075 717,226 358,613 1,075,840 537,920 268,960 134,480 67,240 33,620 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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