37,478,506

2 × 13 × 17 × 84793

37,478,506 factors as 2 × 13 × 17 × 84793. Its 16 positive divisors give a proper-divisor sum of 26,625,758, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 84793

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 64,104,264

Proper Divisor Sum 26,625,758

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #37478501 ← → #37478513

Radix Representation

Decimal	37478506
Binary	10001110111110000001101010 (26 bits)
Octal	0o216760152
Hexadecimal	0x23BE06A

Divisor Catalog (16)

1 2 13 17 26 34 221 442 84,793 169,586 1,102,309 1,441,481 2,204,618 2,882,962 18,739,253 37,478,506

Collatz Trajectory (196 steps to reach 1)

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

37,478,506 18,739,253 56,217,760 28,108,880 14,054,440 7,027,220 3,513,610 1,756,805 5,270,416 2,635,208 1,317,604 658,802 329,401 988,204 494,102 247,051 741,154 370,577 1,111,732 555,866 277,933 833,800 416,900 208,450 104,225 312,676 156,338 78,169 234,508 117,254 58,627 175,882 87,941 263,824 131,912 65,956 32,978 16,489 49,468 24,734 12,367 37,102 18,551 55,654 27,827 83,482 41,741 125,224 62,612 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605

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