23,965,009

61 × 131 × 2999

23,965,009 factors as 61 × 131 × 2999. Its 8 positive divisors give a proper-divisor sum of 586,991, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 61 × 131 × 2999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 24,552,000

Proper Divisor Sum 586,991

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #23964979 ← → #23965013

Radix Representation

Decimal	23965009
Binary	1011011011010110101010001 (25 bits)
Octal	0o133326521
Hexadecimal	0x16DAD51

Divisor Catalog (8)

1 61 131 2,999 7,991 182,939 392,869 23,965,009

Collatz Trajectory (172 steps to reach 1)

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

23,965,009 71,895,028 35,947,514 17,973,757 53,921,272 26,960,636 13,480,318 6,740,159 20,220,478 10,110,239 30,330,718 15,165,359 45,496,078 22,748,039 68,244,118 34,122,059 102,366,178 51,183,089 153,549,268 76,774,634 38,387,317 115,161,952 57,580,976 28,790,488 14,395,244 7,197,622 3,598,811 10,796,434 5,398,217 16,194,652 8,097,326 4,048,663 12,145,990 6,072,995 18,218,986 9,109,493 27,328,480 13,664,240 6,832,120 3,416,060 1,708,030 854,015 2,562,046 1,281,023 3,843,070 1,921,535 5,764,606 2,882,303 8,646,910 4,323,455 12,970,366 6,485,183 19,455,550 9,727,775 29,183,326 14,591,663 43,774,990 21,887,495 65,662,486 32,831,243

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