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13,617,232

24 × 71 × 11987
Deficient Even Composite

13,617,232 factors as 2^4 × 71 × 11987. Its 20 positive divisors give a proper-divisor sum of 13,139,984, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^4 × 71 × 11987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 26,757,216
Proper Divisor Sum 13,139,984
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13617217 ← → #13617239

Radix Representation

Decimal 13617232
Binary 110011111100100001010000 (24 bits)
Octal 0o63744120
Hexadecimal 0xCFC850

Divisor Catalog (20)

1 2 4 8 16 71 142 284 568 1,136 11,987 23,974 47,948 95,896 191,792 851,077 1,702,154 3,404,308 6,808,616 13,617,232

Collatz Trajectory (130 steps to reach 1)

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

13,617,232 6,808,616 3,404,308 1,702,154 851,077 2,553,232 1,276,616 638,308 319,154 159,577 478,732 239,366 119,683 359,050 179,525 538,576 269,288 134,644 67,322 33,661 100,984 50,492 25,246 12,623 37,870 18,935 56,806 28,403 85,210 42,605 127,816 63,908 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386

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