λ
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13,532,860

22 × 5 × 11 × 137 × 449
Abundant Even Composite

13,532,860 factors as 2^2 × 5 × 11 × 137 × 449. Its 48 positive divisors give a proper-divisor sum of 17,765,540, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 137 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,298,400
Proper Divisor Sum 17,765,540
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #13532839 ← → #13532881

Radix Representation

Decimal 13532860
Binary 110011100111111010111100 (24 bits)
Octal 0o63477274
Hexadecimal 0xCE7EBC

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 55 110 137 220 274 449 548 685 898 1,370 1,507 1,796 2,245 2,740 3,014 4,490 4,939 6,028 7,535 8,980 9,878 15,070 19,756 24,695 30,140 49,390 61,513 98,780 123,026 246,052 307,565 615,130 676,643 1,230,260 1,353,286 2,706,572 3,383,215 6,766,430 13,532,860

Collatz Trajectory (135 steps to reach 1)

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

13,532,860 6,766,430 3,383,215 10,149,646 5,074,823 15,224,470 7,612,235 22,836,706 11,418,353 34,255,060 17,127,530 8,563,765 25,691,296 12,845,648 6,422,824 3,211,412 1,605,706 802,853 2,408,560 1,204,280 602,140 301,070 150,535 451,606 225,803 677,410 338,705 1,016,116 508,058 254,029 762,088 381,044 190,522 95,261 285,784 142,892 71,446 35,723 107,170 53,585 160,756 80,378 40,189 120,568 60,284 30,142 15,071 45,214 22,607 67,822 33,911 101,734 50,867 152,602 76,301 228,904 114,452 57,226 28,613 85,840

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