13,664,893

11² × 31 × 3643

13,664,893 factors as 11^2 × 31 × 3643. Its 12 positive divisors give a proper-divisor sum of 1,843,971, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 11^2 × 31 × 3643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,508,864

Proper Divisor Sum 1,843,971

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #13664891 ← → #13664897

Radix Representation

Decimal	13664893
Binary	110100001000001001111101 (24 bits)
Octal	0o64101175
Hexadecimal	0xD0827D

Divisor Catalog (12)

1 11 31 121 341 3,643 3,751 40,073 112,933 440,803 1,242,263 13,664,893

Collatz Trajectory (135 steps to reach 1)

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

13,664,893 40,994,680 20,497,340 10,248,670 5,124,335 15,373,006 7,686,503 23,059,510 11,529,755 34,589,266 17,294,633 51,883,900 25,941,950 12,970,975 38,912,926 19,456,463 58,369,390 29,184,695 87,554,086 43,777,043 131,331,130 65,665,565 196,996,696 98,498,348 49,249,174 24,624,587 73,873,762 36,936,881 110,810,644 55,405,322 27,702,661 83,107,984 41,553,992 20,776,996 10,388,498 5,194,249 15,582,748 7,791,374 3,895,687 11,687,062 5,843,531 17,530,594 8,765,297 26,295,892 13,147,946 6,573,973 19,721,920 9,860,960 4,930,480 2,465,240 1,232,620 616,310 308,155 924,466 462,233 1,386,700 693,350 346,675 1,040,026 520,013

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