512,652

2² × 3 × 7 × 17 × 359

512,652 factors as 2^2 × 3 × 7 × 17 × 359. Its 48 positive divisors give a proper-divisor sum of 938,868, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 17 × 359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,451,520

Proper Divisor Sum 938,868

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #512641 ← → #512657

Radix Representation

Decimal	512652
Binary	1111101001010001100 (19 bits)
Octal	0o1751214
Hexadecimal	0x7D28C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 359 476 714 718 1,077 1,428 1,436 2,154 2,513 4,308 5,026 6,103 7,539 10,052 12,206 15,078 18,309 24,412 30,156 36,618 42,721 73,236 85,442 128,163 170,884 256,326 512,652

Collatz Trajectory (102 steps to reach 1)

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

512,652 256,326 128,163 384,490 192,245 576,736 288,368 144,184 72,092 36,046 18,023 54,070 27,035 81,106 40,553 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542

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