λ
Integer Codex

9,327,012

22 × 3 × 777251
Abundant Even Composite

For 9,327,012, the 12 positive divisors have a total of 21,763,056. Removing 9,327,012 leaves 12,436,044, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 777251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 21,763,056
Proper Divisor Sum 12,436,044
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9326981 ← → #9327089

Radix Representation

Decimal 9327012
Binary 100011100101000110100100 (24 bits)
Octal 0o43450644
Hexadecimal 0x8E51A4

Divisor Catalog (12)

1 2 3 4 6 12 777,251 1,554,502 2,331,753 3,109,004 4,663,506 9,327,012

Collatz Trajectory (163 steps to reach 1)

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

9,327,012 4,663,506 2,331,753 6,995,260 3,497,630 1,748,815 5,246,446 2,623,223 7,869,670 3,934,835 11,804,506 5,902,253 17,706,760 8,853,380 4,426,690 2,213,345 6,640,036 3,320,018 1,660,009 4,980,028 2,490,014 1,245,007 3,735,022 1,867,511 5,602,534 2,801,267 8,403,802 4,201,901 12,605,704 6,302,852 3,151,426 1,575,713 4,727,140 2,363,570 1,181,785 3,545,356 1,772,678 886,339 2,659,018 1,329,509 3,988,528 1,994,264 997,132 498,566 249,283 747,850 373,925 1,121,776 560,888 280,444 140,222 70,111 210,334 105,167 315,502 157,751 473,254 236,627 709,882 354,941

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