λ
Prime Ledger

9,189,596

22 × 13 × 79 × 2237
Deficient Even Composite

9,189,596 has the prime decomposition 2^2 × 13 × 79 × 2237. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 79 × 2237
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,545,920
Proper Divisor Sum 8,356,324
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9189577 ← → #9189599

Radix Representation

Decimal 9189596
Binary 100011000011100011011100 (24 bits)
Octal 0o43034334
Hexadecimal 0x8C38DC

Divisor Catalog (24)

1 2 4 13 26 52 79 158 316 1,027 2,054 2,237 4,108 4,474 8,948 29,081 58,162 116,324 176,723 353,446 706,892 2,297,399 4,594,798 9,189,596

Collatz Trajectory (163 steps to reach 1)

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

9,189,596 4,594,798 2,297,399 6,892,198 3,446,099 10,338,298 5,169,149 15,507,448 7,753,724 3,876,862 1,938,431 5,815,294 2,907,647 8,722,942 4,361,471 13,084,414 6,542,207 19,626,622 9,813,311 29,439,934 14,719,967 44,159,902 22,079,951 66,239,854 33,119,927 99,359,782 49,679,891 149,039,674 74,519,837 223,559,512 111,779,756 55,889,878 27,944,939 83,834,818 41,917,409 125,752,228 62,876,114 31,438,057 94,314,172 47,157,086 23,578,543 70,735,630 35,367,815 106,103,446 53,051,723 159,155,170 79,577,585 238,732,756 119,366,378 59,683,189 179,049,568 89,524,784 44,762,392 22,381,196 11,190,598 5,595,299 16,785,898 8,392,949 25,178,848 12,589,424

More profiles

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