37,567,775

5² × 7 × 214673

37,567,775 factors as 5^2 × 7 × 214673. Its 12 positive divisors give a proper-divisor sum of 15,671,377, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 214673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 53,239,152

Proper Divisor Sum 15,671,377

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #37567757 ← → #37567781

Radix Representation

Decimal	37567775
Binary	10001111010011110100011111 (26 bits)
Octal	0o217236437
Hexadecimal	0x23D3D1F

Divisor Catalog (12)

1 5 7 25 35 175 214,673 1,073,365 1,502,711 5,366,825 7,513,555 37,567,775

Collatz Trajectory (209 steps to reach 1)

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

37,567,775 112,703,326 56,351,663 169,054,990 84,527,495 253,582,486 126,791,243 380,373,730 190,186,865 570,560,596 285,280,298 142,640,149 427,920,448 213,960,224 106,980,112 53,490,056 26,745,028 13,372,514 6,686,257 20,058,772 10,029,386 5,014,693 15,044,080 7,522,040 3,761,020 1,880,510 940,255 2,820,766 1,410,383 4,231,150 2,115,575 6,346,726 3,173,363 9,520,090 4,760,045 14,280,136 7,140,068 3,570,034 1,785,017 5,355,052 2,677,526 1,338,763 4,016,290 2,008,145 6,024,436 3,012,218 1,506,109 4,518,328 2,259,164 1,129,582 564,791 1,694,374 847,187 2,541,562 1,270,781 3,812,344 1,906,172 953,086 476,543 1,429,630

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