30,672,317

13³ × 23 × 607

30,672,317 factors as 13^3 × 23 × 607. Its 16 positive divisors give a proper-divisor sum of 4,056,643, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 13^3 × 23 × 607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 34,728,960

Proper Divisor Sum 4,056,643

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #30672307 ← → #30672347

Radix Representation

Decimal	30672317
Binary	1110101000000010110111101 (25 bits)
Octal	0o165002675
Hexadecimal	0x1D405BD

Divisor Catalog (16)

1 13 23 169 299 607 2,197 3,887 7,891 13,961 50,531 102,583 181,493 1,333,579 2,359,409 30,672,317

Collatz Trajectory (113 steps to reach 1)

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

30,672,317 92,016,952 46,008,476 23,004,238 11,502,119 34,506,358 17,253,179 51,759,538 25,879,769 77,639,308 38,819,654 19,409,827 58,229,482 29,114,741 87,344,224 43,672,112 21,836,056 10,918,028 5,459,014 2,729,507 8,188,522 4,094,261 12,282,784 6,141,392 3,070,696 1,535,348 767,674 383,837 1,151,512 575,756 287,878 143,939 431,818 215,909 647,728 323,864 161,932 80,966 40,483 121,450 60,725 182,176 91,088 45,544 22,772 11,386 5,693 17,080 8,540 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901

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