3,674,635

5 × 17² × 2543

3,674,635 factors as 5 × 17^2 × 2543. Its 12 positive divisors give a proper-divisor sum of 1,011,413, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 5 × 17^2 × 2543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,686,048

Proper Divisor Sum 1,011,413

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3674623 ← → #3674639

Radix Representation

Decimal	3674635
Binary	1110000001001000001011 (22 bits)
Octal	0o16011013
Hexadecimal	0x38120B

Divisor Catalog (12)

1 5 17 85 289 1,445 2,543 12,715 43,231 216,155 734,927 3,674,635

Collatz Trajectory (172 steps to reach 1)

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

3,674,635 11,023,906 5,511,953 16,535,860 8,267,930 4,133,965 12,401,896 6,200,948 3,100,474 1,550,237 4,650,712 2,325,356 1,162,678 581,339 1,744,018 872,009 2,616,028 1,308,014 654,007 1,962,022 981,011 2,943,034 1,471,517 4,414,552 2,207,276 1,103,638 551,819 1,655,458 827,729 2,483,188 1,241,594 620,797 1,862,392 931,196 465,598 232,799 698,398 349,199 1,047,598 523,799 1,571,398 785,699 2,357,098 1,178,549 3,535,648 1,767,824 883,912 441,956 220,978 110,489 331,468 165,734 82,867 248,602 124,301 372,904 186,452 93,226 46,613 139,840

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