λ
Harmonic Matrix

610,322

2 × 401 × 761
Deficient Even Composite

610,322 has digital root 5. The neighboring primes are 610301 and 610327; its proper-divisor sum differs from the starting integer by -301,672.

Prime Factor Structure

Factorization String 2 × 401 × 761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 918,972
Proper Divisor Sum 308,650
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #610301 ← → #610327

Radix Representation

Decimal 610322
Binary 10010101000000010010 (20 bits)
Octal 0o2250022
Hexadecimal 0x95012

Divisor Catalog (8)

1 2 401 761 802 1,522 305,161 610,322

Collatz Trajectory (110 steps to reach 1)

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

610,322 305,161 915,484 457,742 228,871 686,614 343,307 1,029,922 514,961 1,544,884 772,442 386,221 1,158,664 579,332 289,666 144,833 434,500 217,250 108,625 325,876 162,938 81,469 244,408 122,204 61,102 30,551 91,654 45,827 137,482 68,741 206,224 103,112 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237

More profiles

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