λ
Harmonic Matrix

4,637,656

23 × 579707
Deficient Even Composite

4,637,656 has digital root 1. The neighboring primes are 4637639 and 4637657; its proper-divisor sum differs from the starting integer by -579,692.

Prime Factor Structure

Factorization String 2^3 × 579707
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,695,620
Proper Divisor Sum 4,057,964
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4637639 ← → #4637657

Radix Representation

Decimal 4637656
Binary 10001101100001111011000 (23 bits)
Octal 0o21541730
Hexadecimal 0x46C3D8

Divisor Catalog (8)

1 2 4 8 579,707 1,159,414 2,318,828 4,637,656

Collatz Trajectory (193 steps to reach 1)

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

4,637,656 2,318,828 1,159,414 579,707 1,739,122 869,561 2,608,684 1,304,342 652,171 1,956,514 978,257 2,934,772 1,467,386 733,693 2,201,080 1,100,540 550,270 275,135 825,406 412,703 1,238,110 619,055 1,857,166 928,583 2,785,750 1,392,875 4,178,626 2,089,313 6,267,940 3,133,970 1,566,985 4,700,956 2,350,478 1,175,239 3,525,718 1,762,859 5,288,578 2,644,289 7,932,868 3,966,434 1,983,217 5,949,652 2,974,826 1,487,413 4,462,240 2,231,120 1,115,560 557,780 278,890 139,445 418,336 209,168 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416

More profiles

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