λ
Harmonic Matrix

4,618,597

31 × 383 × 389
Deficient Odd Composite

4,618,597 has digital root 4. The neighboring primes are 4618589 and 4618619; its proper-divisor sum differs from the starting integer by -4,444,874.

Prime Factor Structure

Factorization String 31 × 383 × 389
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,792,320
Proper Divisor Sum 173,723
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4618589 ← → #4618619

Radix Representation

Decimal 4618597
Binary 10001100111100101100101 (23 bits)
Octal 0o21474545
Hexadecimal 0x467965

Divisor Catalog (8)

1 31 383 389 11,873 12,059 148,987 4,618,597

Collatz Trajectory (330 steps to reach 1)

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

4,618,597 13,855,792 6,927,896 3,463,948 1,731,974 865,987 2,597,962 1,298,981 3,896,944 1,948,472 974,236 487,118 243,559 730,678 365,339 1,096,018 548,009 1,644,028 822,014 411,007 1,233,022 616,511 1,849,534 924,767 2,774,302 1,387,151 4,161,454 2,080,727 6,242,182 3,121,091 9,363,274 4,681,637 14,044,912 7,022,456 3,511,228 1,755,614 877,807 2,633,422 1,316,711 3,950,134 1,975,067 5,925,202 2,962,601 8,887,804 4,443,902 2,221,951 6,665,854 3,332,927 9,998,782 4,999,391 14,998,174 7,499,087 22,497,262 11,248,631 33,745,894 16,872,947 50,618,842 25,309,421 75,928,264 37,964,132

More profiles

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