λ
Harmonic Matrix

9,616,568

23 × 13 × 92467
Abundant Even Composite

9,616,568 has digital root 5. The neighboring primes are 9616561 and 9616571; its proper-divisor sum differs from the starting integer by 185,144.

Prime Factor Structure

Factorization String 2^3 × 13 × 92467
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,418,280
Proper Divisor Sum 9,801,712
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9616561 ← → #9616571

Radix Representation

Decimal 9616568
Binary 100100101011110010111000 (24 bits)
Octal 0o44536270
Hexadecimal 0x92BCB8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 92,467 184,934 369,868 739,736 1,202,071 2,404,142 4,808,284 9,616,568

Collatz Trajectory (75 steps to reach 1)

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

9,616,568 4,808,284 2,404,142 1,202,071 3,606,214 1,803,107 5,409,322 2,704,661 8,113,984 4,056,992 2,028,496 1,014,248 507,124 253,562 126,781 380,344 190,172 95,086 47,543 142,630 71,315 213,946 106,973 320,920 160,460 80,230 40,115 120,346 60,173 180,520 90,260 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696

More profiles

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