λ
Harmonic Matrix

5,656,641

3 × 71 × 26557
Deficient Odd Composite

5,656,641 has digital root 6. The neighboring primes are 5656621 and 5656649; its proper-divisor sum differs from the starting integer by -3,664,578.

Prime Factor Structure

Factorization String 3 × 71 × 26557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,648,704
Proper Divisor Sum 1,992,063
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5656621 ← → #5656649

Radix Representation

Decimal 5656641
Binary 10101100101000001000001 (23 bits)
Octal 0o25450101
Hexadecimal 0x565041

Divisor Catalog (8)

1 3 71 213 26,557 79,671 1,885,547 5,656,641

Collatz Trajectory (77 steps to reach 1)

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

5,656,641 16,969,924 8,484,962 4,242,481 12,727,444 6,363,722 3,181,861 9,545,584 4,772,792 2,386,396 1,193,198 596,599 1,789,798 894,899 2,684,698 1,342,349 4,027,048 2,013,524 1,006,762 503,381 1,510,144 755,072 377,536 188,768 94,384 47,192 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28

More profiles

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