λ
Prime Ledger

9,681,090

2 × 3 × 5 × 313 × 1031
Abundant Even Composite

9,681,090 has the prime decomposition 2 × 3 × 5 × 313 × 1031. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 313 × 1031
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,331,456
Proper Divisor Sum 13,650,366
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9681071 ← → #9681097

Radix Representation

Decimal 9681090
Binary 100100111011100011000010 (24 bits)
Octal 0o44734302
Hexadecimal 0x93B8C2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 313 626 939 1,031 1,565 1,878 2,062 3,093 3,130 4,695 5,155 6,186 9,390 10,310 15,465 30,930 322,703 645,406 968,109 1,613,515 1,936,218 3,227,030 4,840,545 9,681,090

Collatz Trajectory (132 steps to reach 1)

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

9,681,090 4,840,545 14,521,636 7,260,818 3,630,409 10,891,228 5,445,614 2,722,807 8,168,422 4,084,211 12,252,634 6,126,317 18,378,952 9,189,476 4,594,738 2,297,369 6,892,108 3,446,054 1,723,027 5,169,082 2,584,541 7,753,624 3,876,812 1,938,406 969,203 2,907,610 1,453,805 4,361,416 2,180,708 1,090,354 545,177 1,635,532 817,766 408,883 1,226,650 613,325 1,839,976 919,988 459,994 229,997 689,992 344,996 172,498 86,249 258,748 129,374 64,687 194,062 97,031 291,094 145,547 436,642 218,321 654,964 327,482 163,741 491,224 245,612 122,806 61,403

More profiles

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