501,080

2³ × 5 × 12527

For 501,080, the 16 positive divisors have a total of 1,127,520. Removing 501,080 leaves 626,440, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 12527

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,127,520

Proper Divisor Sum 626,440

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #501077 ← → #501089

Radix Representation

Decimal	501080
Binary	1111010010101011000 (19 bits)
Octal	0o1722530
Hexadecimal	0x7A558

Divisor Catalog (16)

1 2 4 5 8 10 20 40 12,527 25,054 50,108 62,635 100,216 125,270 250,540 501,080

Collatz Trajectory (151 steps to reach 1)

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

501,080 250,540 125,270 62,635 187,906 93,953 281,860 140,930 70,465 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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