λ
Harmonic Matrix

461,962

2 × 31 × 7451
Deficient Even Composite

461,962 has digital root 1. The neighboring primes are 461957 and 461971; its proper-divisor sum differs from the starting integer by -208,532.

Prime Factor Structure

Factorization String 2 × 31 × 7451
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 715,392
Proper Divisor Sum 253,430
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #461957 ← → #461971

Radix Representation

Decimal 461962
Binary 1110000110010001010 (19 bits)
Octal 0o1606212
Hexadecimal 0x70C8A

Divisor Catalog (8)

1 2 31 62 7,451 14,902 230,981 461,962

Collatz Trajectory (50 steps to reach 1)

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

461,962 230,981 692,944 346,472 173,236 86,618 43,309 129,928 64,964 32,482 16,241 48,724 24,362 12,181 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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