λ
Harmonic Matrix

922,521

3 × 37 × 8311
Deficient Odd Composite

922,521 has digital root 3. The neighboring primes are 922517 and 922531; its proper-divisor sum differs from the starting integer by -581,618.

Prime Factor Structure

Factorization String 3 × 37 × 8311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,263,424
Proper Divisor Sum 340,903
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #922517 ← → #922531

Radix Representation

Decimal 922521
Binary 11100001001110011001 (20 bits)
Octal 0o3411631
Hexadecimal 0xE1399

Divisor Catalog (8)

1 3 37 111 8,311 24,933 307,507 922,521

Collatz Trajectory (77 steps to reach 1)

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

922,521 2,767,564 1,383,782 691,891 2,075,674 1,037,837 3,113,512 1,556,756 778,378 389,189 1,167,568 583,784 291,892 145,946 72,973 218,920 109,460 54,730 27,365 82,096 41,048 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28

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