23,213,637

3² × 31 × 83203

23,213,637 factors as 3^2 × 31 × 83203. Its 12 positive divisors give a proper-divisor sum of 11,399,227, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 3^2 × 31 × 83203

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 34,612,864

Proper Divisor Sum 11,399,227

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #23213623 ← → #23213639

Radix Representation

Decimal	23213637
Binary	1011000100011011001000101 (25 bits)
Octal	0o130433105
Hexadecimal	0x1623645

Divisor Catalog (12)

1 3 9 31 93 279 83,203 249,609 748,827 2,579,293 7,737,879 23,213,637

Collatz Trajectory (216 steps to reach 1)

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

23,213,637 69,640,912 34,820,456 17,410,228 8,705,114 4,352,557 13,057,672 6,528,836 3,264,418 1,632,209 4,896,628 2,448,314 1,224,157 3,672,472 1,836,236 918,118 459,059 1,377,178 688,589 2,065,768 1,032,884 516,442 258,221 774,664 387,332 193,666 96,833 290,500 145,250 72,625 217,876 108,938 54,469 163,408 81,704 40,852 20,426 10,213 30,640 15,320 7,660 3,830 1,915 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094

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