λ
Prime Ledger

9,126,012

22 × 3 × 7 × 108643
Abundant Even Composite

9,126,012 has the prime decomposition 2^2 × 3 × 7 × 108643. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 108643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,336,256
Proper Divisor Sum 15,210,244
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9126011 ← → #9126043

Radix Representation

Decimal 9126012
Binary 100010110100000001111100 (24 bits)
Octal 0o42640174
Hexadecimal 0x8B407C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 108,643 217,286 325,929 434,572 651,858 760,501 1,303,716 1,521,002 2,281,503 3,042,004 4,563,006 9,126,012

Collatz Trajectory (181 steps to reach 1)

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

9,126,012 4,563,006 2,281,503 6,844,510 3,422,255 10,266,766 5,133,383 15,400,150 7,700,075 23,100,226 11,550,113 34,650,340 17,325,170 8,662,585 25,987,756 12,993,878 6,496,939 19,490,818 9,745,409 29,236,228 14,618,114 7,309,057 21,927,172 10,963,586 5,481,793 16,445,380 8,222,690 4,111,345 12,334,036 6,167,018 3,083,509 9,250,528 4,625,264 2,312,632 1,156,316 578,158 289,079 867,238 433,619 1,300,858 650,429 1,951,288 975,644 487,822 243,911 731,734 365,867 1,097,602 548,801 1,646,404 823,202 411,601 1,234,804 617,402 308,701 926,104 463,052 231,526 115,763 347,290

More profiles

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