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9,735,808

27 × 23 × 3307
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 23 × 3307
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,244,960
Proper Divisor Sum 10,509,152
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9735797 ← → #9735821

Radix Representation

Decimal 9735808
Binary 100101001000111010000000 (24 bits)
Octal 0o45107200
Hexadecimal 0x948E80

Divisor Catalog (32)

1 2 4 8 16 23 32 46 64 92 128 184 368 736 1,472 2,944 3,307 6,614 13,228 26,456 52,912 76,061 105,824 152,122 211,648 304,244 423,296 608,488 1,216,976 2,433,952 4,867,904 9,735,808

Collatz Trajectory (70 steps to reach 1)

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

9,735,808 4,867,904 2,433,952 1,216,976 608,488 304,244 152,122 76,061 228,184 114,092 57,046 28,523 85,570 42,785 128,356 64,178 32,089 96,268 48,134 24,067 72,202 36,101 108,304 54,152 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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