λ
Harmonic Matrix

5,664,676

22 × 137 × 10337
Deficient Even Composite

5,664,676 has digital root 4. The neighboring primes are 5664671 and 5664697; its proper-divisor sum differs from the starting integer by -1,342,844.

Prime Factor Structure

Factorization String 2^2 × 137 × 10337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,986,508
Proper Divisor Sum 4,321,832
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5664671 ← → #5664697

Radix Representation

Decimal 5664676
Binary 10101100110111110100100 (23 bits)
Octal 0o25467644
Hexadecimal 0x566FA4

Divisor Catalog (12)

1 2 4 137 274 548 10,337 20,674 41,348 1,416,169 2,832,338 5,664,676

Collatz Trajectory (263 steps to reach 1)

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

5,664,676 2,832,338 1,416,169 4,248,508 2,124,254 1,062,127 3,186,382 1,593,191 4,779,574 2,389,787 7,169,362 3,584,681 10,754,044 5,377,022 2,688,511 8,065,534 4,032,767 12,098,302 6,049,151 18,147,454 9,073,727 27,221,182 13,610,591 40,831,774 20,415,887 61,247,662 30,623,831 91,871,494 45,935,747 137,807,242 68,903,621 206,710,864 103,355,432 51,677,716 25,838,858 12,919,429 38,758,288 19,379,144 9,689,572 4,844,786 2,422,393 7,267,180 3,633,590 1,816,795 5,450,386 2,725,193 8,175,580 4,087,790 2,043,895 6,131,686 3,065,843 9,197,530 4,598,765 13,796,296 6,898,148 3,449,074 1,724,537 5,173,612 2,586,806 1,293,403

More profiles

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