37,541,565

3² × 5 × 834257

37,541,565 factors as 3^2 × 5 × 834257. Its 12 positive divisors give a proper-divisor sum of 27,530,559, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 834257

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 65,072,124

Proper Divisor Sum 27,530,559

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #37541551 ← → #37541597

Radix Representation

Decimal	37541565
Binary	10001111001101011010111101 (26 bits)
Octal	0o217153275
Hexadecimal	0x23CD6BD

Divisor Catalog (12)

1 3 5 9 15 45 834,257 2,502,771 4,171,285 7,508,313 12,513,855 37,541,565

Collatz Trajectory (108 steps to reach 1)

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

37,541,565 112,624,696 56,312,348 28,156,174 14,078,087 42,234,262 21,117,131 63,351,394 31,675,697 95,027,092 47,513,546 23,756,773 71,270,320 35,635,160 17,817,580 8,908,790 4,454,395 13,363,186 6,681,593 20,044,780 10,022,390 5,011,195 15,033,586 7,516,793 22,550,380 11,275,190 5,637,595 16,912,786 8,456,393 25,369,180 12,684,590 6,342,295 19,026,886 9,513,443 28,540,330 14,270,165 42,810,496 21,405,248 10,702,624 5,351,312 2,675,656 1,337,828 668,914 334,457 1,003,372 501,686 250,843 752,530 376,265 1,128,796 564,398 282,199 846,598 423,299 1,269,898 634,949 1,904,848 952,424 476,212 238,106

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