λ
Prime Ledger

9,469,272

23 × 3 × 17 × 23209
Abundant Even Composite

9,469,272 has the prime decomposition 2^3 × 3 × 17 × 23209. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 23209
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,066,800
Proper Divisor Sum 15,597,528
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9469267 ← → #9469301

Radix Representation

Decimal 9469272
Binary 100100000111110101011000 (24 bits)
Octal 0o44076530
Hexadecimal 0x907D58

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 23,209 46,418 69,627 92,836 139,254 185,672 278,508 394,553 557,016 789,106 1,183,659 1,578,212 2,367,318 3,156,424 4,734,636 9,469,272

Collatz Trajectory (124 steps to reach 1)

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

9,469,272 4,734,636 2,367,318 1,183,659 3,550,978 1,775,489 5,326,468 2,663,234 1,331,617 3,994,852 1,997,426 998,713 2,996,140 1,498,070 749,035 2,247,106 1,123,553 3,370,660 1,685,330 842,665 2,527,996 1,263,998 631,999 1,895,998 947,999 2,843,998 1,421,999 4,265,998 2,132,999 6,398,998 3,199,499 9,598,498 4,799,249 14,397,748 7,198,874 3,599,437 10,798,312 5,399,156 2,699,578 1,349,789 4,049,368 2,024,684 1,012,342 506,171 1,518,514 759,257 2,277,772 1,138,886 569,443 1,708,330 854,165 2,562,496 1,281,248 640,624 320,312 160,156 80,078 40,039 120,118 60,059

More profiles

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