36,957,297

3 × 13 × 23 × 41201

36,957,297 factors as 3 × 13 × 23 × 41201. Its 16 positive divisors give a proper-divisor sum of 18,418,191, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3 × 13 × 23 × 41201

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 55,375,488

Proper Divisor Sum 18,418,191

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #36957289 ← → #36957307

Radix Representation

Decimal	36957297
Binary	10001100111110110001110001 (26 bits)
Octal	0o214766161
Hexadecimal	0x233EC71

Divisor Catalog (16)

1 3 13 23 39 69 299 897 41,201 123,603 535,613 947,623 1,606,839 2,842,869 12,319,099 36,957,297

Collatz Trajectory (152 steps to reach 1)

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

36,957,297 110,871,892 55,435,946 27,717,973 83,153,920 41,576,960 20,788,480 10,394,240 5,197,120 2,598,560 1,299,280 649,640 324,820 162,410 81,205 243,616 121,808 60,904 30,452 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182

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