23,716,640

2⁵ × 5 × 148229

23,716,640 factors as 2^5 × 5 × 148229. Its 24 positive divisors give a proper-divisor sum of 32,314,300, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 148229

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 56,030,940

Proper Divisor Sum 32,314,300

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #23716639 ← → #23716673

Radix Representation

Decimal	23716640
Binary	1011010011110001100100000 (25 bits)
Octal	0o132361440
Hexadecimal	0x169E320

Divisor Catalog (24)

Collatz Trajectory (185 steps to reach 1)

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

23,716,640 11,858,320 5,929,160 2,964,580 1,482,290 741,145 2,223,436 1,111,718 555,859 1,667,578 833,789 2,501,368 1,250,684 625,342 312,671 938,014 469,007 1,407,022 703,511 2,110,534 1,055,267 3,165,802 1,582,901 4,748,704 2,374,352 1,187,176 593,588 296,794 148,397 445,192 222,596 111,298 55,649 166,948 83,474 41,737 125,212 62,606 31,303 93,910 46,955 140,866 70,433 211,300 105,650 52,825 158,476 79,238 39,619 118,858 59,429 178,288 89,144 44,572 22,286 11,143 33,430 16,715 50,146 25,073

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