501,720

2³ × 3 × 5 × 37 × 113

For 501,720, the 64 positive divisors have a total of 1,559,520. Removing 501,720 leaves 1,057,800, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 37 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,559,520

Proper Divisor Sum 1,057,800

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #501719 ← → #501731

Radix Representation

Decimal	501720
Binary	1111010011111011000 (19 bits)
Octal	0o1723730
Hexadecimal	0x7A7D8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 113 120 148 185 222 226 296 339 370 444 452 555 565 678 740 888 904 1,110 1,130 1,356 1,480 1,695 2,220 2,260 2,712 3,390 4,181 4,440 4,520 6,780 8,362 12,543 13,560 16,724 20,905 25,086 33,448 41,810 50,172 62,715 83,620 100,344

Collatz Trajectory (89 steps to reach 1)

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

501,720 250,860 125,430 62,715 188,146 94,073 282,220 141,110 70,555 211,666 105,833 317,500 158,750 79,375 238,126 119,063 357,190 178,595 535,786 267,893 803,680 401,840 200,920 100,460 50,230 25,115 75,346 37,673 113,020 56,510 28,255 84,766 42,383 127,150 63,575 190,726 95,363 286,090 143,045 429,136 214,568 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185

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