479,745

3² × 5 × 7 × 1523

479,745 factors as 3^2 × 5 × 7 × 1523. Its 24 positive divisors give a proper-divisor sum of 471,231, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 1523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 950,976

Proper Divisor Sum 471,231

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #479701 ← → #479749

Radix Representation

Decimal	479745
Binary	1110101001000000001 (19 bits)
Octal	0o1651001
Hexadecimal	0x75201

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 1,523 4,569 7,615 10,661 13,707 22,845 31,983 53,305 68,535 95,949 159,915 479,745

Collatz Trajectory (107 steps to reach 1)

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

479,745 1,439,236 719,618 359,809 1,079,428 539,714 269,857 809,572 404,786 202,393 607,180 303,590 151,795 455,386 227,693 683,080 341,540 170,770 85,385 256,156 128,078 64,039 192,118 96,059 288,178 144,089 432,268 216,134 108,067 324,202 162,101 486,304 243,152 121,576 60,788 30,394 15,197 45,592 22,796 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508

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