508,776

2³ × 3 × 17 × 29 × 43

508,776 factors as 2^3 × 3 × 17 × 29 × 43. Its 64 positive divisors give a proper-divisor sum of 916,824, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 29 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,425,600

Proper Divisor Sum 916,824

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #508771 ← → #508789

Radix Representation

Decimal	508776
Binary	1111100001101101000 (19 bits)
Octal	0o1741550
Hexadecimal	0x7C368

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 24 29 34 43 51 58 68 86 87 102 116 129 136 172 174 204 232 258 344 348 408 493 516 696 731 986 1,032 1,247 1,462 1,479 1,972 2,193 2,494 2,924 2,958 3,741 3,944 4,386 4,988 5,848 5,916 7,482 8,772 9,976 11,832 14,964 17,544 21,199 29,928 42,398 63,597 84,796

Collatz Trajectory (164 steps to reach 1)

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

508,776 254,388 127,194 63,597 190,792 95,396 47,698 23,849 71,548 35,774 17,887 53,662 26,831 80,494 40,247 120,742 60,371 181,114 90,557 271,672 135,836 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414 96,707 290,122 145,061 435,184 217,592 108,796 54,398 27,199 81,598 40,799 122,398 61,199 183,598 91,799 275,398 137,699 413,098 206,549 619,648 309,824 154,912 77,456 38,728 19,364

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