3,681,888

2⁵ × 3 × 7 × 5479

3,681,888 has the prime decomposition 2^5 × 3 × 7 × 5479. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 5479

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,047,680

Proper Divisor Sum 7,365,792

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3681871 ← → #3681889

Radix Representation

Decimal	3681888
Binary	1110000010111001100000 (22 bits)
Octal	0o16027140
Hexadecimal	0x382E60

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5,479 10,958 16,437 21,916 32,874 38,353 43,832 65,748 76,706 87,664 115,059 131,496 153,412 175,328 230,118 262,992 306,824 460,236 525,984 613,648 920,472 1,227,296 1,840,944 3,681,888

Collatz Trajectory (265 steps to reach 1)

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

3,681,888 1,840,944 920,472 460,236 230,118 115,059 345,178 172,589 517,768 258,884 129,442 64,721 194,164 97,082 48,541 145,624 72,812 36,406 18,203 54,610 27,305 81,916 40,958 20,479 61,438 30,719 92,158 46,079 138,238 69,119 207,358 103,679 311,038 155,519 466,558 233,279 699,838 349,919 1,049,758 524,879 1,574,638 787,319 2,361,958 1,180,979 3,542,938 1,771,469 5,314,408 2,657,204 1,328,602 664,301 1,992,904 996,452 498,226 249,113 747,340 373,670 186,835 560,506 280,253 840,760

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