37,583,039

13 × 17 × 173 × 983

37,583,039 factors as 13 × 17 × 173 × 983. Its 16 positive divisors give a proper-divisor sum of 5,563,393, so this integer is deficient. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 13 × 17 × 173 × 983

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 43,146,432

Proper Divisor Sum 5,563,393

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #37583027 ← → #37583089

Radix Representation

Decimal	37583039
Binary	10001111010111100010111111 (26 bits)
Octal	0o217274277
Hexadecimal	0x23D78BF

Divisor Catalog (16)

1 13 17 173 221 983 2,249 2,941 12,779 16,711 38,233 170,059 217,243 2,210,767 2,891,003 37,583,039

Collatz Trajectory (302 steps to reach 1)

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

37,583,039 112,749,118 56,374,559 169,123,678 84,561,839 253,685,518 126,842,759 380,528,278 190,264,139 570,792,418 285,396,209 856,188,628 428,094,314 214,047,157 642,141,472 321,070,736 160,535,368 80,267,684 40,133,842 20,066,921 60,200,764 30,100,382 15,050,191 45,150,574 22,575,287 67,725,862 33,862,931 101,588,794 50,794,397 152,383,192 76,191,596 38,095,798 19,047,899 57,143,698 28,571,849 85,715,548 42,857,774 21,428,887 64,286,662 32,143,331 96,429,994 48,214,997 144,644,992 72,322,496 36,161,248 18,080,624 9,040,312 4,520,156 2,260,078 1,130,039 3,390,118 1,695,059 5,085,178 2,542,589 7,627,768 3,813,884 1,906,942 953,471 2,860,414 1,430,207

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