477,015

3 × 5 × 7² × 11 × 59

477,015 has the prime decomposition 3 × 5 × 7^2 × 11 × 59. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 11 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 984,960

Proper Divisor Sum 507,945

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #477013 ← → #477017

Radix Representation

Decimal	477015
Binary	1110100011101010111 (19 bits)
Octal	0o1643527
Hexadecimal	0x74757

Divisor Catalog (48)

1 3 5 7 11 15 21 33 35 49 55 59 77 105 147 165 177 231 245 295 385 413 539 649 735 885 1,155 1,239 1,617 1,947 2,065 2,695 2,891 3,245 4,543 6,195 8,085 8,673 9,735 13,629 14,455 22,715 31,801 43,365 68,145 95,403 159,005 477,015

Collatz Trajectory (120 steps to reach 1)

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

477,015 1,431,046 715,523 2,146,570 1,073,285 3,219,856 1,609,928 804,964 402,482 201,241 603,724 301,862 150,931 452,794 226,397 679,192 339,596 169,798 84,899 254,698 127,349 382,048 191,024 95,512 47,756 23,878 11,939 35,818 17,909 53,728 26,864 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505

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