λ
Harmonic Matrix

22,973

22973
Deficient Odd Prime

22,973 has digital root 5. The neighboring primes are 22963 and 22993; its proper-divisor sum differs from the starting integer by -22,972.

Prime Factor Structure

Factorization String 22973
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 22,974
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #22963 ← → #22993

Radix Representation

Decimal 22973
Binary 101100110111101 (15 bits)
Octal 0o54675
Hexadecimal 0x59BD

Divisor Catalog (2)

1 22,973

Collatz Trajectory (82 steps to reach 1)

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

22,973 68,920 34,460 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148

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