λ
Prime Ledger

9,329,439

3 × 7 × 37 × 12007
Deficient Odd Composite

9,329,439 has the prime decomposition 3 × 7 × 37 × 12007. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 12007
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,601,728
Proper Divisor Sum 5,272,289
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9329429 ← → #9329443

Radix Representation

Decimal 9329439
Binary 100011100101101100011111 (24 bits)
Octal 0o43455437
Hexadecimal 0x8E5B1F

Divisor Catalog (16)

1 3 7 21 37 111 259 777 12,007 36,021 84,049 252,147 444,259 1,332,777 3,109,813 9,329,439

Collatz Trajectory (300 steps to reach 1)

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

9,329,439 27,988,318 13,994,159 41,982,478 20,991,239 62,973,718 31,486,859 94,460,578 47,230,289 141,690,868 70,845,434 35,422,717 106,268,152 53,134,076 26,567,038 13,283,519 39,850,558 19,925,279 59,775,838 29,887,919 89,663,758 44,831,879 134,495,638 67,247,819 201,743,458 100,871,729 302,615,188 151,307,594 75,653,797 226,961,392 113,480,696 56,740,348 28,370,174 14,185,087 42,555,262 21,277,631 63,832,894 31,916,447 95,749,342 47,874,671 143,624,014 71,812,007 215,436,022 107,718,011 323,154,034 161,577,017 484,731,052 242,365,526 121,182,763 363,548,290 181,774,145 545,322,436 272,661,218 136,330,609 408,991,828 204,495,914 102,247,957 306,743,872 153,371,936 76,685,968

More profiles

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