464,787

3² × 43 × 1201

464,787 factors as 3^2 × 43 × 1201. Its 12 positive divisors give a proper-divisor sum of 222,757, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 3^2 × 43 × 1201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 687,544

Proper Divisor Sum 222,757

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #464777 ← → #464801

Radix Representation

Decimal	464787
Binary	1110001011110010011 (19 bits)
Octal	0o1613623
Hexadecimal	0x71793

Divisor Catalog (12)

1 3 9 43 129 387 1,201 3,603 10,809 51,643 154,929 464,787

Collatz Trajectory (76 steps to reach 1)

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

464,787 1,394,362 697,181 2,091,544 1,045,772 522,886 261,443 784,330 392,165 1,176,496 588,248 294,124 147,062 73,531 220,594 110,297 330,892 165,446 82,723 248,170 124,085 372,256 186,128 93,064 46,532 23,266 11,633 34,900 17,450 8,725 26,176 13,088 6,544 3,272 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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