3,706,632

2³ × 3² × 51481

3,706,632 has the prime decomposition 2^3 × 3^2 × 51481. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 51481

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,038,990

Proper Divisor Sum 6,332,358

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3706631 ← → #3706649

Radix Representation

Decimal	3706632
Binary	1110001000111100001000 (22 bits)
Octal	0o16107410
Hexadecimal	0x388F08

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 51,481 102,962 154,443 205,924 308,886 411,848 463,329 617,772 926,658 1,235,544 1,853,316 3,706,632

Collatz Trajectory (115 steps to reach 1)

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

3,706,632 1,853,316 926,658 463,329 1,389,988 694,994 347,497 1,042,492 521,246 260,623 781,870 390,935 1,172,806 586,403 1,759,210 879,605 2,638,816 1,319,408 659,704 329,852 164,926 82,463 247,390 123,695 371,086 185,543 556,630 278,315 834,946 417,473 1,252,420 626,210 313,105 939,316 469,658 234,829 704,488 352,244 176,122 88,061 264,184 132,092 66,046 33,023 99,070 49,535 148,606 74,303 222,910 111,455 334,366 167,183 501,550 250,775 752,326 376,163 1,128,490 564,245 1,692,736 846,368

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