3,302,952

2³ × 3 × 137623

Starting at 3,302,952, the Collatz iteration reaches 1 after 84 steps. The first transition is 1651476; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 137623

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,257,440

Proper Divisor Sum 4,954,488

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3302939 ← → #3302987

Radix Representation

Decimal	3302952
Binary	1100100110011000101000 (22 bits)
Octal	0o14463050
Hexadecimal	0x326628

Divisor Catalog (16)

1 2 3 4 6 8 12 24 137,623 275,246 412,869 550,492 825,738 1,100,984 1,651,476 3,302,952

Collatz Trajectory (84 steps to reach 1)

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

3,302,952 1,651,476 825,738 412,869 1,238,608 619,304 309,652 154,826 77,413 232,240 116,120 58,060 29,030 14,515 43,546 21,773 65,320 32,660 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98

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