λ
Harmonic Matrix

5,961,612

22 × 3 × 107 × 4643
Abundant Even Composite

5,961,612 has digital root 3. The neighboring primes are 5961587 and 5961643; its proper-divisor sum differs from the starting integer by 2,120,232.

Prime Factor Structure

Factorization String 2^2 × 3 × 107 × 4643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,043,456
Proper Divisor Sum 8,081,844
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5961587 ← → #5961643

Radix Representation

Decimal 5961612
Binary 10110101111011110001100 (23 bits)
Octal 0o26573614
Hexadecimal 0x5AF78C

Divisor Catalog (24)

1 2 3 4 6 12 107 214 321 428 642 1,284 4,643 9,286 13,929 18,572 27,858 55,716 496,801 993,602 1,490,403 1,987,204 2,980,806 5,961,612

Collatz Trajectory (64 steps to reach 1)

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

5,961,612 2,980,806 1,490,403 4,471,210 2,235,605 6,706,816 3,353,408 1,676,704 838,352 419,176 209,588 104,794 52,397 157,192 78,596 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5

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