462,967

23 × 20129

462,967 factors as 23 × 20129. Its 4 positive divisors give a proper-divisor sum of 20,153, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 23 × 20129

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 483,120

Proper Divisor Sum 20,153

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #462953 ← → #462983

Radix Representation

Decimal	462967
Binary	1110001000001110111 (19 bits)
Octal	0o1610167
Hexadecimal	0x71077

Divisor Catalog (4)

1 23 20,129 462,967

Collatz Trajectory (107 steps to reach 1)

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

462,967 1,388,902 694,451 2,083,354 1,041,677 3,125,032 1,562,516 781,258 390,629 1,171,888 585,944 292,972 146,486 73,243 219,730 109,865 329,596 164,798 82,399 247,198 123,599 370,798 185,399 556,198 278,099 834,298 417,149 1,251,448 625,724 312,862 156,431 469,294 234,647 703,942 351,971 1,055,914 527,957 1,583,872 791,936 395,968 197,984 98,992 49,496 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938

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