511,656

2³ × 3 × 21319

511,656 factors as 2^3 × 3 × 21319. Its 16 positive divisors give a proper-divisor sum of 767,544, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 21319

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,279,200

Proper Divisor Sum 767,544

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #511633 ← → #511669

Radix Representation

Decimal	511656
Binary	1111100111010101000 (19 bits)
Octal	0o1747250
Hexadecimal	0x7CEA8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 21,319 42,638 63,957 85,276 127,914 170,552 255,828 511,656

Collatz Trajectory (58 steps to reach 1)

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

511,656 255,828 127,914 63,957 191,872 95,936 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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