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Atlas › Integer Profiles › Node 9,107,912

9,107,912

23 × 112 × 972
Abundant Even Composite

9,107,912 factors as 2^3 × 11^2 × 97^2. Its 36 positive divisors give a proper-divisor sum of 9,858,553, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 97^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,966,465
Proper Divisor Sum 9,858,553
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9107909 ← → #9107941

Radix Representation

Decimal 9107912
Binary 100010101111100111001000 (24 bits)
Octal 0o42574710
Hexadecimal 0x8AF9C8

Divisor Catalog (36)

1 2 4 8 11 22 44 88 97 121 194 242 388 484 776 968 1,067 2,134 4,268 8,536 9,409 11,737 18,818 23,474 37,636 46,948 75,272 93,896 103,499 206,998 413,996 827,992 1,138,489 2,276,978 4,553,956 9,107,912

Collatz Trajectory (163 steps to reach 1)

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

9,107,912 4,553,956 2,276,978 1,138,489 3,415,468 1,707,734 853,867 2,561,602 1,280,801 3,842,404 1,921,202 960,601 2,881,804 1,440,902 720,451 2,161,354 1,080,677 3,242,032 1,621,016 810,508 405,254 202,627 607,882 303,941 911,824 455,912 227,956 113,978 56,989 170,968 85,484 42,742 21,371 64,114 32,057 96,172 48,086 24,043 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773

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