13,880,828

2² × 13 × 173 × 1543

13,880,828 factors as 2^2 × 13 × 173 × 1543. Its 24 positive divisors give a proper-divisor sum of 12,447,460, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 173 × 1543

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 26,328,288

Proper Divisor Sum 12,447,460

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #13880819 ← → #13880833

Radix Representation

Decimal	13880828
Binary	110100111100110111111100 (24 bits)
Octal	0o64746774
Hexadecimal	0xD3CDFC

Divisor Catalog (24)

Collatz Trajectory (184 steps to reach 1)

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

13,880,828 6,940,414 3,470,207 10,410,622 5,205,311 15,615,934 7,807,967 23,423,902 11,711,951 35,135,854 17,567,927 52,703,782 26,351,891 79,055,674 39,527,837 118,583,512 59,291,756 29,645,878 14,822,939 44,468,818 22,234,409 66,703,228 33,351,614 16,675,807 50,027,422 25,013,711 75,041,134 37,520,567 112,561,702 56,280,851 168,842,554 84,421,277 253,263,832 126,631,916 63,315,958 31,657,979 94,973,938 47,486,969 142,460,908 71,230,454 35,615,227 106,845,682 53,422,841 160,268,524 80,134,262 40,067,131 120,201,394 60,100,697 180,302,092 90,151,046 45,075,523 135,226,570 67,613,285 202,839,856 101,419,928 50,709,964 25,354,982 12,677,491 38,032,474 19,016,237

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