8,737,149

3 × 29² × 3463

Starting at 8,737,149, the Collatz iteration reaches 1 after 199 steps. The first transition is 26211448; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 29^2 × 3463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,068,576

Proper Divisor Sum 3,331,427

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8737139 ← → #8737153

Radix Representation

Decimal	8737149
Binary	100001010101000101111101 (24 bits)
Octal	0o41250575
Hexadecimal	0x85517D

Divisor Catalog (12)

1 3 29 87 841 2,523 3,463 10,389 100,427 301,281 2,912,383 8,737,149

Collatz Trajectory (199 steps to reach 1)

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

8,737,149 26,211,448 13,105,724 6,552,862 3,276,431 9,829,294 4,914,647 14,743,942 7,371,971 22,115,914 11,057,957 33,173,872 16,586,936 8,293,468 4,146,734 2,073,367 6,220,102 3,110,051 9,330,154 4,665,077 13,995,232 6,997,616 3,498,808 1,749,404 874,702 437,351 1,312,054 656,027 1,968,082 984,041 2,952,124 1,476,062 738,031 2,214,094 1,107,047 3,321,142 1,660,571 4,981,714 2,490,857 7,472,572 3,736,286 1,868,143 5,604,430 2,802,215 8,406,646 4,203,323 12,609,970 6,304,985 18,914,956 9,457,478 4,728,739 14,186,218 7,093,109 21,279,328 10,639,664 5,319,832 2,659,916 1,329,958 664,979 1,994,938

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