512,941

11 × 13 × 17 × 211

512,941 has the prime decomposition 11 × 13 × 17 × 211. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 13 × 17 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 641,088

Proper Divisor Sum 128,147

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #512929 ← → #512959

Radix Representation

Decimal	512941
Binary	1111101001110101101 (19 bits)
Octal	0o1751655
Hexadecimal	0x7D3AD

Divisor Catalog (16)

1 11 13 17 143 187 211 221 2,321 2,431 2,743 3,587 30,173 39,457 46,631 512,941

Collatz Trajectory (133 steps to reach 1)

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

512,941 1,538,824 769,412 384,706 192,353 577,060 288,530 144,265 432,796 216,398 108,199 324,598 162,299 486,898 243,449 730,348 365,174 182,587 547,762 273,881 821,644 410,822 205,411 616,234 308,117 924,352 462,176 231,088 115,544 57,772 28,886 14,443 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254

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