474,789

3 × 7 × 23 × 983

474,789 factors as 3 × 7 × 23 × 983. Its 16 positive divisors give a proper-divisor sum of 280,923, so this integer is deficient. The Collatz stopping time is 306 steps.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 983

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 755,712

Proper Divisor Sum 280,923

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #474787 ← → #474809

Radix Representation

Decimal	474789
Binary	1110011111010100101 (19 bits)
Octal	0o1637245
Hexadecimal	0x73EA5

Divisor Catalog (16)

1 3 7 21 23 69 161 483 983 2,949 6,881 20,643 22,609 67,827 158,263 474,789

Collatz Trajectory (306 steps to reach 1)

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

474,789 1,424,368 712,184 356,092 178,046 89,023 267,070 133,535 400,606 200,303 600,910 300,455 901,366 450,683 1,352,050 676,025 2,028,076 1,014,038 507,019 1,521,058 760,529 2,281,588 1,140,794 570,397 1,711,192 855,596 427,798 213,899 641,698 320,849 962,548 481,274 240,637 721,912 360,956 180,478 90,239 270,718 135,359 406,078 203,039 609,118 304,559 913,678 456,839 1,370,518 685,259 2,055,778 1,027,889 3,083,668 1,541,834 770,917 2,312,752 1,156,376 578,188 289,094 144,547 433,642 216,821 650,464

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