λ
Prime Ledger

9,564,639

3 × 7 × 613 × 743
Deficient Odd Composite

9,564,639 has the prime decomposition 3 × 7 × 613 × 743. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 613 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,618,112
Proper Divisor Sum 5,053,473
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9564637 ← → #9564661

Radix Representation

Decimal 9564639
Binary 100100011111000111011111 (24 bits)
Octal 0o44370737
Hexadecimal 0x91F1DF

Divisor Catalog (16)

1 3 7 21 613 743 1,839 2,229 4,291 5,201 12,873 15,603 455,459 1,366,377 3,188,213 9,564,639

Collatz Trajectory (145 steps to reach 1)

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

9,564,639 28,693,918 14,346,959 43,040,878 21,520,439 64,561,318 32,280,659 96,841,978 48,420,989 145,262,968 72,631,484 36,315,742 18,157,871 54,473,614 27,236,807 81,710,422 40,855,211 122,565,634 61,282,817 183,848,452 91,924,226 45,962,113 137,886,340 68,943,170 34,471,585 103,414,756 51,707,378 25,853,689 77,561,068 38,780,534 19,390,267 58,170,802 29,085,401 87,256,204 43,628,102 21,814,051 65,442,154 32,721,077 98,163,232 49,081,616 24,540,808 12,270,404 6,135,202 3,067,601 9,202,804 4,601,402 2,300,701 6,902,104 3,451,052 1,725,526 862,763 2,588,290 1,294,145 3,882,436 1,941,218 970,609 2,911,828 1,455,914 727,957 2,183,872

More profiles

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