715,020

2² × 3 × 5 × 17 × 701

For 715,020, the 48 positive divisors have a total of 2,122,848. Removing 715,020 leaves 1,407,828, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 701

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,122,848

Proper Divisor Sum 1,407,828

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #715019 ← → #715031

Radix Representation

Decimal	715020
Binary	10101110100100001100 (20 bits)
Octal	0o2564414
Hexadecimal	0xAE90C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 701 1,020 1,402 2,103 2,804 3,505 4,206 7,010 8,412 10,515 11,917 14,020 21,030 23,834 35,751 42,060 47,668 59,585 71,502 119,170 143,004 178,755 238,340 357,510 715,020

Collatz Trajectory (167 steps to reach 1)

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

715,020 357,510 178,755 536,266 268,133 804,400 402,200 201,100 100,550 50,275 150,826 75,413 226,240 113,120 56,560 28,280 14,140 7,070 3,535 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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