λ
Harmonic Matrix

9,127,339

13 × 461 × 1523
Deficient Odd Composite

9,127,339 has digital root 7. The neighboring primes are 9127337 and 9127357; its proper-divisor sum differs from the starting integer by -8,397,446.

Prime Factor Structure

Factorization String 13 × 461 × 1523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,857,232
Proper Divisor Sum 729,893
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9127337 ← → #9127357

Radix Representation

Decimal 9127339
Binary 100010110100010110101011 (24 bits)
Octal 0o42642653
Hexadecimal 0x8B45AB

Divisor Catalog (8)

1 13 461 1,523 5,993 19,799 702,103 9,127,339

Collatz Trajectory (119 steps to reach 1)

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

9,127,339 27,382,018 13,691,009 41,073,028 20,536,514 10,268,257 30,804,772 15,402,386 7,701,193 23,103,580 11,551,790 5,775,895 17,327,686 8,663,843 25,991,530 12,995,765 38,987,296 19,493,648 9,746,824 4,873,412 2,436,706 1,218,353 3,655,060 1,827,530 913,765 2,741,296 1,370,648 685,324 342,662 171,331 513,994 256,997 770,992 385,496 192,748 96,374 48,187 144,562 72,281 216,844 108,422 54,211 162,634 81,317 243,952 121,976 60,988 30,494 15,247 45,742 22,871 68,614 34,307 102,922 51,461 154,384 77,192 38,596 19,298 9,649

More profiles

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