λ
Harmonic Matrix

9,316,165

5 × 43 × 43331
Deficient Odd Composite

9,316,165 has digital root 4. The neighboring primes are 9316147 and 9316189; its proper-divisor sum differs from the starting integer by -7,192,682.

Prime Factor Structure

Factorization String 5 × 43 × 43331
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,439,648
Proper Divisor Sum 2,123,483
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9316147 ← → #9316189

Radix Representation

Decimal 9316165
Binary 100011100010011101000101 (24 bits)
Octal 0o43423505
Hexadecimal 0x8E2745

Divisor Catalog (8)

1 5 43 215 43,331 216,655 1,863,233 9,316,165

Collatz Trajectory (106 steps to reach 1)

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

9,316,165 27,948,496 13,974,248 6,987,124 3,493,562 1,746,781 5,240,344 2,620,172 1,310,086 655,043 1,965,130 982,565 2,947,696 1,473,848 736,924 368,462 184,231 552,694 276,347 829,042 414,521 1,243,564 621,782 310,891 932,674 466,337 1,399,012 699,506 349,753 1,049,260 524,630 262,315 786,946 393,473 1,180,420 590,210 295,105 885,316 442,658 221,329 663,988 331,994 165,997 497,992 248,996 124,498 62,249 186,748 93,374 46,687 140,062 70,031 210,094 105,047 315,142 157,571 472,714 236,357 709,072 354,536

More profiles

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