3,439,729

17 × 31 × 61 × 107

3,439,729 factors as 17 × 31 × 61 × 107. Its 16 positive divisors give a proper-divisor sum of 417,167, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 17 × 31 × 61 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,856,896

Proper Divisor Sum 417,167

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3439697 ← → #3439747

Radix Representation

Decimal	3439729
Binary	1101000111110001110001 (22 bits)
Octal	0o15076161
Hexadecimal	0x347C71

Divisor Catalog (16)

1 17 31 61 107 527 1,037 1,819 1,891 3,317 6,527 32,147 56,389 110,959 202,337 3,439,729

Collatz Trajectory (97 steps to reach 1)

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

3,439,729 10,319,188 5,159,594 2,579,797 7,739,392 3,869,696 1,934,848 967,424 483,712 241,856 120,928 60,464 30,232 15,116 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611

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