13,668,028

2² × 11 × 113 × 2749

13,668,028 factors as 2^2 × 11 × 113 × 2749. Its 24 positive divisors give a proper-divisor sum of 12,665,972, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 113 × 2749

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 26,334,000

Proper Divisor Sum 12,665,972

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13668007 ← → #13668029

Radix Representation

Decimal	13668028
Binary	110100001000111010111100 (24 bits)
Octal	0o64107274
Hexadecimal	0xD08EBC

Divisor Catalog (24)

Collatz Trajectory (130 steps to reach 1)

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

13,668,028 6,834,014 3,417,007 10,251,022 5,125,511 15,376,534 7,688,267 23,064,802 11,532,401 34,597,204 17,298,602 8,649,301 25,947,904 12,973,952 6,486,976 3,243,488 1,621,744 810,872 405,436 202,718 101,359 304,078 152,039 456,118 228,059 684,178 342,089 1,026,268 513,134 256,567 769,702 384,851 1,154,554 577,277 1,731,832 865,916 432,958 216,479 649,438 324,719 974,158 487,079 1,461,238 730,619 2,191,858 1,095,929 3,287,788 1,643,894 821,947 2,465,842 1,232,921 3,698,764 1,849,382 924,691 2,774,074 1,387,037 4,161,112 2,080,556 1,040,278 520,139

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