37,409,732

2² × 53 × 176461

37,409,732 factors as 2^2 × 53 × 176461. Its 12 positive divisors give a proper-divisor sum of 29,292,904, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 176461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 66,702,636

Proper Divisor Sum 29,292,904

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #37409719 ← → #37409737

Radix Representation

Decimal	37409732
Binary	10001110101101001111000100 (26 bits)
Octal	0o216551704
Hexadecimal	0x23AD3C4

Divisor Catalog (12)

1 2 4 53 106 212 176,461 352,922 705,844 9,352,433 18,704,866 37,409,732

Collatz Trajectory (152 steps to reach 1)

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

37,409,732 18,704,866 9,352,433 28,057,300 14,028,650 7,014,325 21,042,976 10,521,488 5,260,744 2,630,372 1,315,186 657,593 1,972,780 986,390 493,195 1,479,586 739,793 2,219,380 1,109,690 554,845 1,664,536 832,268 416,134 208,067 624,202 312,101 936,304 468,152 234,076 117,038 58,519 175,558 87,779 263,338 131,669 395,008 197,504 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100

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