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Atlas › Integer Profiles › Node 13,620,195

13,620,195

32 × 5 × 313 × 967
Deficient Odd Composite

13,620,195 factors as 3^2 × 5 × 313 × 967. Its 24 positive divisors give a proper-divisor sum of 10,088,061, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 313 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,708,256
Proper Divisor Sum 10,088,061
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #13620151 ← → #13620197

Radix Representation

Decimal 13620195
Binary 110011111101001111100011 (24 bits)
Octal 0o63751743
Hexadecimal 0xCFD3E3

Divisor Catalog (24)

1 3 5 9 15 45 313 939 967 1,565 2,817 2,901 4,695 4,835 8,703 14,085 14,505 43,515 302,671 908,013 1,513,355 2,724,039 4,540,065 13,620,195

Collatz Trajectory (223 steps to reach 1)

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

13,620,195 40,860,586 20,430,293 61,290,880 30,645,440 15,322,720 7,661,360 3,830,680 1,915,340 957,670 478,835 1,436,506 718,253 2,154,760 1,077,380 538,690 269,345 808,036 404,018 202,009 606,028 303,014 151,507 454,522 227,261 681,784 340,892 170,446 85,223 255,670 127,835 383,506 191,753 575,260 287,630 143,815 431,446 215,723 647,170 323,585 970,756 485,378 242,689 728,068 364,034 182,017 546,052 273,026 136,513 409,540 204,770 102,385 307,156 153,578 76,789 230,368 115,184 57,592 28,796 14,398

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