λ
Prime Ledger

9,123,101

13 × 17 × 41281
Deficient Odd Composite

9,123,101 has the prime decomposition 13 × 17 × 41281. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 41281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,403,064
Proper Divisor Sum 1,279,963
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #9123089 ← → #9123109

Radix Representation

Decimal 9123101
Binary 100010110011010100011101 (24 bits)
Octal 0o42632435
Hexadecimal 0x8B351D

Divisor Catalog (8)

1 13 17 221 41,281 536,653 701,777 9,123,101

Collatz Trajectory (225 steps to reach 1)

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

9,123,101 27,369,304 13,684,652 6,842,326 3,421,163 10,263,490 5,131,745 15,395,236 7,697,618 3,848,809 11,546,428 5,773,214 2,886,607 8,659,822 4,329,911 12,989,734 6,494,867 19,484,602 9,742,301 29,226,904 14,613,452 7,306,726 3,653,363 10,960,090 5,480,045 16,440,136 8,220,068 4,110,034 2,055,017 6,165,052 3,082,526 1,541,263 4,623,790 2,311,895 6,935,686 3,467,843 10,403,530 5,201,765 15,605,296 7,802,648 3,901,324 1,950,662 975,331 2,925,994 1,462,997 4,388,992 2,194,496 1,097,248 548,624 274,312 137,156 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644

More profiles

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