3,644,179

7² × 11 × 6761

Starting at 3,644,179, the Collatz iteration reaches 1 after 110 steps. The first transition is 10932538; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 11 × 6761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,625,208

Proper Divisor Sum 981,029

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3644159 ← → #3644183

Radix Representation

Decimal	3644179
Binary	1101111001101100010011 (22 bits)
Octal	0o15715423
Hexadecimal	0x379B13

Divisor Catalog (12)

1 7 11 49 77 539 6,761 47,327 74,371 331,289 520,597 3,644,179

Collatz Trajectory (110 steps to reach 1)

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

3,644,179 10,932,538 5,466,269 16,398,808 8,199,404 4,099,702 2,049,851 6,149,554 3,074,777 9,224,332 4,612,166 2,306,083 6,918,250 3,459,125 10,377,376 5,188,688 2,594,344 1,297,172 648,586 324,293 972,880 486,440 243,220 121,610 60,805 182,416 91,208 45,604 22,802 11,401 34,204 17,102 8,551 25,654 12,827 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853

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