λ
Prime Ledger

9,475,336

23 × 13 × 31 × 2939
Abundant Even Composite

9,475,336 has the prime decomposition 2^3 × 13 × 31 × 2939. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 31 × 2939
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,756,800
Proper Divisor Sum 10,281,464
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9475321 ← → #9475337

Radix Representation

Decimal 9475336
Binary 100100001001010100001000 (24 bits)
Octal 0o44112410
Hexadecimal 0x909508

Divisor Catalog (32)

1 2 4 8 13 26 31 52 62 104 124 248 403 806 1,612 2,939 3,224 5,878 11,756 23,512 38,207 76,414 91,109 152,828 182,218 305,656 364,436 728,872 1,184,417 2,368,834 4,737,668 9,475,336

Collatz Trajectory (194 steps to reach 1)

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

9,475,336 4,737,668 2,368,834 1,184,417 3,553,252 1,776,626 888,313 2,664,940 1,332,470 666,235 1,998,706 999,353 2,998,060 1,499,030 749,515 2,248,546 1,124,273 3,372,820 1,686,410 843,205 2,529,616 1,264,808 632,404 316,202 158,101 474,304 237,152 118,576 59,288 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024

More profiles

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