440,685

3² × 5 × 7 × 1399

440,685 factors as 3^2 × 5 × 7 × 1399. Its 24 positive divisors give a proper-divisor sum of 432,915, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 1399

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 873,600

Proper Divisor Sum 432,915

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #440683 ← → #440711

Radix Representation

Decimal	440685
Binary	1101011100101101101 (19 bits)
Octal	0o1534555
Hexadecimal	0x6B96D

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 1,399 4,197 6,995 9,793 12,591 20,985 29,379 48,965 62,955 88,137 146,895 440,685

Collatz Trajectory (187 steps to reach 1)

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

440,685 1,322,056 661,028 330,514 165,257 495,772 247,886 123,943 371,830 185,915 557,746 278,873 836,620 418,310 209,155 627,466 313,733 941,200 470,600 235,300 117,650 58,825 176,476 88,238 44,119 132,358 66,179 198,538 99,269 297,808 148,904 74,452 37,226 18,613 55,840 27,920 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806

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