8,137,114

2 × 37 × 109961

Starting at 8,137,114, the Collatz iteration reaches 1 after 137 steps. The first transition is 4068557; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 109961

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,535,668

Proper Divisor Sum 4,398,554

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8137069 ← → #8137117

Radix Representation

Decimal	8137114
Binary	11111000010100110011010 (23 bits)
Octal	0o37024632
Hexadecimal	0x7C299A

Divisor Catalog (8)

1 2 37 74 109,961 219,922 4,068,557 8,137,114

Collatz Trajectory (137 steps to reach 1)

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

8,137,114 4,068,557 12,205,672 6,102,836 3,051,418 1,525,709 4,577,128 2,288,564 1,144,282 572,141 1,716,424 858,212 429,106 214,553 643,660 321,830 160,915 482,746 241,373 724,120 362,060 181,030 90,515 271,546 135,773 407,320 203,660 101,830 50,915 152,746 76,373 229,120 114,560 57,280 28,640 14,320 7,160 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612

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