7,332,638

2 × 59 × 62141

Starting at 7,332,638, the Collatz iteration reaches 1 after 59 steps. The first transition is 3666319; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 59 × 62141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,185,560

Proper Divisor Sum 3,852,922

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7332629 ← → #7332641

Radix Representation

Decimal	7332638
Binary	11011111110001100011110 (23 bits)
Octal	0o33761436
Hexadecimal	0x6FE31E

Divisor Catalog (8)

1 2 59 118 62,141 124,282 3,666,319 7,332,638

Collatz Trajectory (59 steps to reach 1)

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

7,332,638 3,666,319 10,998,958 5,499,479 16,498,438 8,249,219 24,747,658 12,373,829 37,121,488 18,560,744 9,280,372 4,640,186 2,320,093 6,960,280 3,480,140 1,740,070 870,035 2,610,106 1,305,053 3,915,160 1,957,580 978,790 489,395 1,468,186 734,093 2,202,280 1,101,140 550,570 275,285 825,856 412,928 206,464 103,232 51,616 25,808 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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