λ
Prime Ledger

9,164,104

23 × 661 × 1733
Deficient Even Composite

9,164,104 has the prime decomposition 2^3 × 661 × 1733. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 661 × 1733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,218,620
Proper Divisor Sum 8,054,516
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9164083 ← → #9164147

Radix Representation

Decimal 9164104
Binary 100010111101010101001000 (24 bits)
Octal 0o42752510
Hexadecimal 0x8BD548

Divisor Catalog (16)

1 2 4 8 661 1,322 1,733 2,644 3,466 5,288 6,932 13,864 1,145,513 2,291,026 4,582,052 9,164,104

Collatz Trajectory (318 steps to reach 1)

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

9,164,104 4,582,052 2,291,026 1,145,513 3,436,540 1,718,270 859,135 2,577,406 1,288,703 3,866,110 1,933,055 5,799,166 2,899,583 8,698,750 4,349,375 13,048,126 6,524,063 19,572,190 9,786,095 29,358,286 14,679,143 44,037,430 22,018,715 66,056,146 33,028,073 99,084,220 49,542,110 24,771,055 74,313,166 37,156,583 111,469,750 55,734,875 167,204,626 83,602,313 250,806,940 125,403,470 62,701,735 188,105,206 94,052,603 282,157,810 141,078,905 423,236,716 211,618,358 105,809,179 317,427,538 158,713,769 476,141,308 238,070,654 119,035,327 357,105,982 178,552,991 535,658,974 267,829,487 803,488,462 401,744,231 1,205,232,694 602,616,347 1,807,849,042 903,924,521 2,711,773,564

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