3,928,574

2 × 13² × 59 × 197

3,928,574 factors as 2 × 13^2 × 59 × 197. Its 24 positive divisors give a proper-divisor sum of 2,593,546, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 59 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,522,120

Proper Divisor Sum 2,593,546

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3928553 ← → #3928577

Radix Representation

Decimal	3928574
Binary	1110111111000111111110 (22 bits)
Octal	0o16770776
Hexadecimal	0x3BF1FE

Divisor Catalog (24)

1 2 13 26 59 118 169 197 338 394 767 1,534 2,561 5,122 9,971 11,623 19,942 23,246 33,293 66,586 151,099 302,198 1,964,287 3,928,574

Collatz Trajectory (123 steps to reach 1)

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

3,928,574 1,964,287 5,892,862 2,946,431 8,839,294 4,419,647 13,258,942 6,629,471 19,888,414 9,944,207 29,832,622 14,916,311 44,748,934 22,374,467 67,123,402 33,561,701 100,685,104 50,342,552 25,171,276 12,585,638 6,292,819 18,878,458 9,439,229 28,317,688 14,158,844 7,079,422 3,539,711 10,619,134 5,309,567 15,928,702 7,964,351 23,893,054 11,946,527 35,839,582 17,919,791 53,759,374 26,879,687 80,639,062 40,319,531 120,958,594 60,479,297 181,437,892 90,718,946 45,359,473 136,078,420 68,039,210 34,019,605 102,058,816 51,029,408 25,514,704 12,757,352 6,378,676 3,189,338 1,594,669 4,784,008 2,392,004 1,196,002 598,001 1,794,004 897,002

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