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Atlas › Integer Profiles › Node 13,597,550

13,597,550

2 × 52 × 151 × 1801
Deficient Even Composite

13,597,550 factors as 2 × 5^2 × 151 × 1801. Its 24 positive divisors give a proper-divisor sum of 11,875,522, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 151 × 1801
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,473,072
Proper Divisor Sum 11,875,522
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #13597543 ← → #13597567

Radix Representation

Decimal 13597550
Binary 110011110111101101101110 (24 bits)
Octal 0o63675556
Hexadecimal 0xCF7B6E

Divisor Catalog (24)

1 2 5 10 25 50 151 302 755 1,510 1,801 3,602 3,775 7,550 9,005 18,010 45,025 90,050 271,951 543,902 1,359,755 2,719,510 6,798,775 13,597,550

Collatz Trajectory (192 steps to reach 1)

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

13,597,550 6,798,775 20,396,326 10,198,163 30,594,490 15,297,245 45,891,736 22,945,868 11,472,934 5,736,467 17,209,402 8,604,701 25,814,104 12,907,052 6,453,526 3,226,763 9,680,290 4,840,145 14,520,436 7,260,218 3,630,109 10,890,328 5,445,164 2,722,582 1,361,291 4,083,874 2,041,937 6,125,812 3,062,906 1,531,453 4,594,360 2,297,180 1,148,590 574,295 1,722,886 861,443 2,584,330 1,292,165 3,876,496 1,938,248 969,124 484,562 242,281 726,844 363,422 181,711 545,134 272,567 817,702 408,851 1,226,554 613,277 1,839,832 919,916 459,958 229,979 689,938 344,969 1,034,908 517,454

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