13,257,598

2 × 991 × 6689

13,257,598 factors as 2 × 991 × 6689. Its 8 positive divisors give a proper-divisor sum of 6,651,842, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2 × 991 × 6689

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 19,909,440

Proper Divisor Sum 6,651,842

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #13257589 ← → #13257599

Radix Representation

Decimal	13257598
Binary	110010100100101101111110 (24 bits)
Octal	0o62445576
Hexadecimal	0xCA4B7E

Divisor Catalog (8)

1 2 991 1,982 6,689 13,378 6,628,799 13,257,598

Collatz Trajectory (148 steps to reach 1)

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

13,257,598 6,628,799 19,886,398 9,943,199 29,829,598 14,914,799 44,744,398 22,372,199 67,116,598 33,558,299 100,674,898 50,337,449 151,012,348 75,506,174 37,753,087 113,259,262 56,629,631 169,888,894 84,944,447 254,833,342 127,416,671 382,250,014 191,125,007 573,375,022 286,687,511 860,062,534 430,031,267 1,290,093,802 645,046,901 1,935,140,704 967,570,352 483,785,176 241,892,588 120,946,294 60,473,147 181,419,442 90,709,721 272,129,164 136,064,582 68,032,291 204,096,874 102,048,437 306,145,312 153,072,656 76,536,328 38,268,164 19,134,082 9,567,041 28,701,124 14,350,562 7,175,281 21,525,844 10,762,922 5,381,461 16,144,384 8,072,192 4,036,096 2,018,048 1,009,024 504,512

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