3,830,092

2² × 7 × 37 × 3697

3,830,092 factors as 2^2 × 7 × 37 × 3697. Its 24 positive divisors give a proper-divisor sum of 4,039,252, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 3697

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,869,344

Proper Divisor Sum 4,039,252

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3830087 ← → #3830093

Radix Representation

Decimal	3830092
Binary	1110100111000101001100 (22 bits)
Octal	0o16470514
Hexadecimal	0x3A714C

Divisor Catalog (24)

Collatz Trajectory (216 steps to reach 1)

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

3,830,092 1,915,046 957,523 2,872,570 1,436,285 4,308,856 2,154,428 1,077,214 538,607 1,615,822 807,911 2,423,734 1,211,867 3,635,602 1,817,801 5,453,404 2,726,702 1,363,351 4,090,054 2,045,027 6,135,082 3,067,541 9,202,624 4,601,312 2,300,656 1,150,328 575,164 287,582 143,791 431,374 215,687 647,062 323,531 970,594 485,297 1,455,892 727,946 363,973 1,091,920 545,960 272,980 136,490 68,245 204,736 102,368 51,184 25,592 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299

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