464,301

3² × 23 × 2243

464,301 has digital root 9. The neighboring primes are 464291 and 464309; its proper-divisor sum differs from the starting integer by -228,474.

Prime Factor Structure

Factorization String 3^2 × 23 × 2243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 700,128

Proper Divisor Sum 235,827

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #464291 ← → #464309

Radix Representation

Decimal	464301
Binary	1110001010110101101 (19 bits)
Octal	0o1612655
Hexadecimal	0x715AD

Divisor Catalog (12)

1 3 9 23 69 207 2,243 6,729 20,187 51,589 154,767 464,301

Collatz Trajectory (76 steps to reach 1)

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

464,301 1,392,904 696,452 348,226 174,113 522,340 261,170 130,585 391,756 195,878 97,939 293,818 146,909 440,728 220,364 110,182 55,091 165,274 82,637 247,912 123,956 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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