λ
Prime Ledger

9,309,008

24 × 47 × 12379
Deficient Even Composite

9,309,008 has the prime decomposition 2^4 × 47 × 12379. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 47 × 12379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,421,440
Proper Divisor Sum 9,112,432
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9309007 ← → #9309017

Radix Representation

Decimal 9309008
Binary 100011100000101101010000 (24 bits)
Octal 0o43405520
Hexadecimal 0x8E0B50

Divisor Catalog (20)

1 2 4 8 16 47 94 188 376 752 12,379 24,758 49,516 99,032 198,064 581,813 1,163,626 2,327,252 4,654,504 9,309,008

Collatz Trajectory (150 steps to reach 1)

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

9,309,008 4,654,504 2,327,252 1,163,626 581,813 1,745,440 872,720 436,360 218,180 109,090 54,545 163,636 81,818 40,909 122,728 61,364 30,682 15,341 46,024 23,012 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274

More profiles

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