3,241,792

2⁶ × 37³

Starting at 3,241,792, the Collatz iteration reaches 1 after 63 steps. The first transition is 1620896; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 37^3

Distinct Prime Factors 2

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 6,611,620

Proper Divisor Sum 3,369,828

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3241783 ← → #3241801

Radix Representation

Decimal	3241792
Binary	1100010111011101000000 (22 bits)
Octal	0o14273500
Hexadecimal	0x317740

Divisor Catalog (28)

1 2 4 8 16 32 37 64 74 148 296 592 1,184 1,369 2,368 2,738 5,476 10,952 21,904 43,808 50,653 87,616 101,306 202,612 405,224 810,448 1,620,896 3,241,792

Collatz Trajectory (63 steps to reach 1)

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

3,241,792 1,620,896 810,448 405,224 202,612 101,306 50,653 151,960 75,980 37,990 18,995 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16

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