λ
Prime Ledger

9,327,339

33 × 7 × 17 × 2903
Deficient Odd Composite

9,327,339 has the prime decomposition 3^3 × 7 × 17 × 2903. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 17 × 2903
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,727,040
Proper Divisor Sum 7,399,701
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9327337 ← → #9327343

Radix Representation

Decimal 9327339
Binary 100011100101001011101011 (24 bits)
Octal 0o43451353
Hexadecimal 0x8E52EB

Divisor Catalog (32)

1 3 7 9 17 21 27 51 63 119 153 189 357 459 1,071 2,903 3,213 8,709 20,321 26,127 49,351 60,963 78,381 148,053 182,889 345,457 444,159 548,667 1,036,371 1,332,477 3,109,113 9,327,339

Collatz Trajectory (155 steps to reach 1)

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

9,327,339 27,982,018 13,991,009 41,973,028 20,986,514 10,493,257 31,479,772 15,739,886 7,869,943 23,609,830 11,804,915 35,414,746 17,707,373 53,122,120 26,561,060 13,280,530 6,640,265 19,920,796 9,960,398 4,980,199 14,940,598 7,470,299 22,410,898 11,205,449 33,616,348 16,808,174 8,404,087 25,212,262 12,606,131 37,818,394 18,909,197 56,727,592 28,363,796 14,181,898 7,090,949 21,272,848 10,636,424 5,318,212 2,659,106 1,329,553 3,988,660 1,994,330 997,165 2,991,496 1,495,748 747,874 373,937 1,121,812 560,906 280,453 841,360 420,680 210,340 105,170 52,585 157,756 78,878 39,439 118,318 59,159

More profiles

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