3,832,960

2⁷ × 5 × 53 × 113

Starting at 3,832,960, the Collatz iteration reaches 1 after 79 steps. The first transition is 1916480; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 5 × 53 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 9,418,680

Proper Divisor Sum 5,585,720

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3832957 ← → #3832993

Radix Representation

Decimal	3832960
Binary	1110100111110010000000 (22 bits)
Octal	0o16476200
Hexadecimal	0x3A7C80

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 32 40 53 64 80 106 113 128 160 212 226 265 320 424 452 530 565 640 848 904 1,060 1,130 1,696 1,808 2,120 2,260 3,392 3,616 4,240 4,520 5,989 6,784 7,232 8,480 9,040 11,978 14,464 16,960 18,080 23,956 29,945 33,920 36,160 47,912 59,890 72,320 95,824 119,780 191,648 239,560 383,296 479,120

Collatz Trajectory (79 steps to reach 1)

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

3,832,960 1,916,480 958,240 479,120 239,560 119,780 59,890 29,945 89,836 44,918 22,459 67,378 33,689 101,068 50,534 25,267 75,802 37,901 113,704 56,852 28,426 14,213 42,640 21,320 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19

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