λ
Harmonic Matrix

5,346,927

32 × 594103
Deficient Odd Composite

5,346,927 has digital root 9. The neighboring primes are 5346919 and 5346941; its proper-divisor sum differs from the starting integer by -2,970,502.

Prime Factor Structure

Factorization String 3^2 × 594103
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,723,352
Proper Divisor Sum 2,376,425
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5346919 ← → #5346941

Radix Representation

Decimal 5346927
Binary 10100011001011001101111 (23 bits)
Octal 0o24313157
Hexadecimal 0x51966F

Divisor Catalog (6)

1 3 9 594,103 1,782,309 5,346,927

Collatz Trajectory (118 steps to reach 1)

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

5,346,927 16,040,782 8,020,391 24,061,174 12,030,587 36,091,762 18,045,881 54,137,644 27,068,822 13,534,411 40,603,234 20,301,617 60,904,852 30,452,426 15,226,213 45,678,640 22,839,320 11,419,660 5,709,830 2,854,915 8,564,746 4,282,373 12,847,120 6,423,560 3,211,780 1,605,890 802,945 2,408,836 1,204,418 602,209 1,806,628 903,314 451,657 1,354,972 677,486 338,743 1,016,230 508,115 1,524,346 762,173 2,286,520 1,143,260 571,630 285,815 857,446 428,723 1,286,170 643,085 1,929,256 964,628 482,314 241,157 723,472 361,736 180,868 90,434 45,217 135,652 67,826 33,913

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