λ
Prime Ledger

9,664,984

23 × 7 × 172589
Abundant Even Composite

9,664,984 has the prime decomposition 2^3 × 7 × 172589. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 172589
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,710,800
Proper Divisor Sum 11,045,816
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9664973 ← → #9664997

Radix Representation

Decimal 9664984
Binary 100100110111100111011000 (24 bits)
Octal 0o44674730
Hexadecimal 0x9379D8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 172,589 345,178 690,356 1,208,123 1,380,712 2,416,246 4,832,492 9,664,984

Collatz Trajectory (238 steps to reach 1)

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

9,664,984 4,832,492 2,416,246 1,208,123 3,624,370 1,812,185 5,436,556 2,718,278 1,359,139 4,077,418 2,038,709 6,116,128 3,058,064 1,529,032 764,516 382,258 191,129 573,388 286,694 143,347 430,042 215,021 645,064 322,532 161,266 80,633 241,900 120,950 60,475 181,426 90,713 272,140 136,070 68,035 204,106 102,053 306,160 153,080 76,540 38,270 19,135 57,406 28,703 86,110 43,055 129,166 64,583 193,750 96,875 290,626 145,313 435,940 217,970 108,985 326,956 163,478 81,739 245,218 122,609 367,828

More profiles

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