λ
Harmonic Matrix

638,578

2 × 319289
Deficient Even Composite

638,578 has digital root 1. The neighboring primes are 638567 and 638581; its proper-divisor sum differs from the starting integer by -319,286.

Prime Factor Structure

Factorization String 2 × 319289
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 957,870
Proper Divisor Sum 319,292
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #638567 ← → #638581

Radix Representation

Decimal 638578
Binary 10011011111001110010 (20 bits)
Octal 0o2337162
Hexadecimal 0x9BE72

Divisor Catalog (4)

1 2 319,289 638,578

Collatz Trajectory (216 steps to reach 1)

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

638,578 319,289 957,868 478,934 239,467 718,402 359,201 1,077,604 538,802 269,401 808,204 404,102 202,051 606,154 303,077 909,232 454,616 227,308 113,654 56,827 170,482 85,241 255,724 127,862 63,931 191,794 95,897 287,692 143,846 71,923 215,770 107,885 323,656 161,828 80,914 40,457 121,372 60,686 30,343 91,030 45,515 136,546 68,273 204,820 102,410 51,205 153,616 76,808 38,404 19,202 9,601 28,804 14,402 7,201 21,604 10,802 5,401 16,204 8,102 4,051

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