15,317,782

2 × 17 × 31 × 14533

15,317,782 factors as 2 × 17 × 31 × 14533. Its 16 positive divisors give a proper-divisor sum of 9,796,970, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 17 × 31 × 14533

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,114,752

Proper Divisor Sum 9,796,970

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #15317779 ← → #15317789

Radix Representation

Decimal	15317782
Binary	111010011011101100010110 (24 bits)
Octal	0o72335426
Hexadecimal	0xE9BB16

Divisor Catalog (16)

1 2 17 31 34 62 527 1,054 14,533 29,066 247,061 450,523 494,122 901,046 7,658,891 15,317,782

Collatz Trajectory (125 steps to reach 1)

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

15,317,782 7,658,891 22,976,674 11,488,337 34,465,012 17,232,506 8,616,253 25,848,760 12,924,380 6,462,190 3,231,095 9,693,286 4,846,643 14,539,930 7,269,965 21,809,896 10,904,948 5,452,474 2,726,237 8,178,712 4,089,356 2,044,678 1,022,339 3,067,018 1,533,509 4,600,528 2,300,264 1,150,132 575,066 287,533 862,600 431,300 215,650 107,825 323,476 161,738 80,869 242,608 121,304 60,652 30,326 15,163 45,490 22,745 68,236 34,118 17,059 51,178 25,589 76,768 38,384 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198

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