λ
Prime Ledger

9,262,508

22 × 1012 × 227
Deficient Even Composite

9,262,508 has the prime decomposition 2^2 × 101^2 × 227. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 101^2 × 227
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 16,443,588
Proper Divisor Sum 7,181,080
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9262507 ← → #9262541

Radix Representation

Decimal 9262508
Binary 100011010101010110101100 (24 bits)
Octal 0o43252654
Hexadecimal 0x8D55AC

Divisor Catalog (18)

1 2 4 101 202 227 404 454 908 10,201 20,402 22,927 40,804 45,854 91,708 2,315,627 4,631,254 9,262,508

Collatz Trajectory (163 steps to reach 1)

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

9,262,508 4,631,254 2,315,627 6,946,882 3,473,441 10,420,324 5,210,162 2,605,081 7,815,244 3,907,622 1,953,811 5,861,434 2,930,717 8,792,152 4,396,076 2,198,038 1,099,019 3,297,058 1,648,529 4,945,588 2,472,794 1,236,397 3,709,192 1,854,596 927,298 463,649 1,390,948 695,474 347,737 1,043,212 521,606 260,803 782,410 391,205 1,173,616 586,808 293,404 146,702 73,351 220,054 110,027 330,082 165,041 495,124 247,562 123,781 371,344 185,672 92,836 46,418 23,209 69,628 34,814 17,407 52,222 26,111 78,334 39,167 117,502 58,751

More profiles

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