10,976,509

17² × 19 × 1999

10,976,509 factors as 17^2 × 19 × 1999. Its 12 positive divisors give a proper-divisor sum of 1,303,491, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 17^2 × 19 × 1999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,280,000

Proper Divisor Sum 1,303,491

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #10976507 ← → #10976519

Radix Representation

Decimal	10976509
Binary	101001110111110011111101 (24 bits)
Octal	0o51676375
Hexadecimal	0xA77CFD

Divisor Catalog (12)

1 17 19 289 323 1,999 5,491 33,983 37,981 577,711 645,677 10,976,509

Collatz Trajectory (96 steps to reach 1)

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

10,976,509 32,929,528 16,464,764 8,232,382 4,116,191 12,348,574 6,174,287 18,522,862 9,261,431 27,784,294 13,892,147 41,676,442 20,838,221 62,514,664 31,257,332 15,628,666 7,814,333 23,443,000 11,721,500 5,860,750 2,930,375 8,791,126 4,395,563 13,186,690 6,593,345 19,780,036 9,890,018 4,945,009 14,835,028 7,417,514 3,708,757 11,126,272 5,563,136 2,781,568 1,390,784 695,392 347,696 173,848 86,924 43,462 21,731 65,194 32,597 97,792 48,896 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942

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