32,712,694

2 × 7² × 333803

32,712,694 factors as 2 × 7^2 × 333803. Its 12 positive divisors give a proper-divisor sum of 24,367,790, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 333803

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 57,080,484

Proper Divisor Sum 24,367,790

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #32712689 ← → #32712703

Radix Representation

Decimal	32712694
Binary	1111100110010011111110110 (25 bits)
Octal	0o174623766
Hexadecimal	0x1F327F6

Divisor Catalog (12)

1 2 7 14 49 98 333,803 667,606 2,336,621 4,673,242 16,356,347 32,712,694

Collatz Trajectory (108 steps to reach 1)

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

32,712,694 16,356,347 49,069,042 24,534,521 73,603,564 36,801,782 18,400,891 55,202,674 27,601,337 82,804,012 41,402,006 20,701,003 62,103,010 31,051,505 93,154,516 46,577,258 23,288,629 69,865,888 34,932,944 17,466,472 8,733,236 4,366,618 2,183,309 6,549,928 3,274,964 1,637,482 818,741 2,456,224 1,228,112 614,056 307,028 153,514 76,757 230,272 115,136 57,568 28,784 14,392 7,196 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962

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