13,072,516

2² × 43 × 76003

13,072,516 factors as 2^2 × 43 × 76003. Its 12 positive divisors give a proper-divisor sum of 10,336,716, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^2 × 43 × 76003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,409,232

Proper Divisor Sum 10,336,716

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #13072457 ← → #13072517

Radix Representation

Decimal	13072516
Binary	110001110111100010000100 (24 bits)
Octal	0o61674204
Hexadecimal	0xC77884

Divisor Catalog (12)

1 2 4 43 86 172 76,003 152,006 304,012 3,268,129 6,536,258 13,072,516

Collatz Trajectory (223 steps to reach 1)

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

13,072,516 6,536,258 3,268,129 9,804,388 4,902,194 2,451,097 7,353,292 3,676,646 1,838,323 5,514,970 2,757,485 8,272,456 4,136,228 2,068,114 1,034,057 3,102,172 1,551,086 775,543 2,326,630 1,163,315 3,489,946 1,744,973 5,234,920 2,617,460 1,308,730 654,365 1,963,096 981,548 490,774 245,387 736,162 368,081 1,104,244 552,122 276,061 828,184 414,092 207,046 103,523 310,570 155,285 465,856 232,928 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924

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