464,274

2 × 3² × 25793

464,274 has digital root 9. The neighboring primes are 464263 and 464279; its proper-divisor sum differs from the starting integer by 77,418.

Prime Factor Structure

Factorization String 2 × 3^2 × 25793

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,005,966

Proper Divisor Sum 541,692

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #464263 ← → #464279

Radix Representation

Decimal	464274
Binary	1110001010110010010 (19 bits)
Octal	0o1612622
Hexadecimal	0x71592

Divisor Catalog (12)

1 2 3 6 9 18 25,793 51,586 77,379 154,758 232,137 464,274

Collatz Trajectory (76 steps to reach 1)

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

464,274 232,137 696,412 348,206 174,103 522,310 261,155 783,466 391,733 1,175,200 587,600 293,800 146,900 73,450 36,725 110,176 55,088 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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