λ
Harmonic Matrix

461,233

461233
Deficient Odd Prime

461,233 has digital root 1. The neighboring primes are 461207 and 461239; its proper-divisor sum differs from the starting integer by -461,232.

Prime Factor Structure

Factorization String 461233
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 461,234
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #461207 ← → #461239

Radix Representation

Decimal 461233
Binary 1110000100110110001 (19 bits)
Octal 0o1604661
Hexadecimal 0x709B1

Divisor Catalog (2)

Collatz Trajectory (76 steps to reach 1)

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

461,233 1,383,700 691,850 345,925 1,037,776 518,888 259,444 129,722 64,861 194,584 97,292 48,646 24,323 72,970 36,485 109,456 54,728 27,364 13,682 6,841 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 14

More profiles

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