6,637,545

3⁷ × 5 × 607

Starting at 6,637,545, the Collatz iteration reaches 1 after 240 steps. The first transition is 19912636; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^7 × 5 × 607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,965,440

Proper Divisor Sum 5,327,895

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6637487 ← → #6637571

Radix Representation

Decimal	6637545
Binary	11001010100011111101001 (23 bits)
Octal	0o31243751
Hexadecimal	0x6547E9

Divisor Catalog (32)

1 3 5 9 15 27 45 81 135 243 405 607 729 1,215 1,821 2,187 3,035 3,645 5,463 9,105 10,935 16,389 27,315 49,167 81,945 147,501 245,835 442,503 737,505 1,327,509 2,212,515 6,637,545

Collatz Trajectory (240 steps to reach 1)

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

6,637,545 19,912,636 9,956,318 4,978,159 14,934,478 7,467,239 22,401,718 11,200,859 33,602,578 16,801,289 50,403,868 25,201,934 12,600,967 37,802,902 18,901,451 56,704,354 28,352,177 85,056,532 42,528,266 21,264,133 63,792,400 31,896,200 15,948,100 7,974,050 3,987,025 11,961,076 5,980,538 2,990,269 8,970,808 4,485,404 2,242,702 1,121,351 3,364,054 1,682,027 5,046,082 2,523,041 7,569,124 3,784,562 1,892,281 5,676,844 2,838,422 1,419,211 4,257,634 2,128,817 6,386,452 3,193,226 1,596,613 4,789,840 2,394,920 1,197,460 598,730 299,365 898,096 449,048 224,524 112,262 56,131 168,394 84,197 252,592

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