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Atlas › Integer Profiles › Node 11,610,092

11,610,092

22 × 13 × 29 × 7699
Deficient Even Composite

11,610,092 factors as 2^2 × 13 × 29 × 7699. Its 24 positive divisors give a proper-divisor sum of 11,027,908, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 7699
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,638,000
Proper Divisor Sum 11,027,908
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #11610073 ← → #11610097

Radix Representation

Decimal 11610092
Binary 101100010010011111101100 (24 bits)
Octal 0o54223754
Hexadecimal 0xB127EC

Divisor Catalog (24)

1 2 4 13 26 29 52 58 116 377 754 1,508 7,699 15,398 30,796 100,087 200,174 223,271 400,348 446,542 893,084 2,902,523 5,805,046 11,610,092

Collatz Trajectory (228 steps to reach 1)

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

11,610,092 5,805,046 2,902,523 8,707,570 4,353,785 13,061,356 6,530,678 3,265,339 9,796,018 4,898,009 14,694,028 7,347,014 3,673,507 11,020,522 5,510,261 16,530,784 8,265,392 4,132,696 2,066,348 1,033,174 516,587 1,549,762 774,881 2,324,644 1,162,322 581,161 1,743,484 871,742 435,871 1,307,614 653,807 1,961,422 980,711 2,942,134 1,471,067 4,413,202 2,206,601 6,619,804 3,309,902 1,654,951 4,964,854 2,482,427 7,447,282 3,723,641 11,170,924 5,585,462 2,792,731 8,378,194 4,189,097 12,567,292 6,283,646 3,141,823 9,425,470 4,712,735 14,138,206 7,069,103 21,207,310 10,603,655 31,810,966 15,905,483

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