490,840

2³ × 5 × 7 × 1753

490,840 factors as 2^3 × 5 × 7 × 1753. Its 32 positive divisors give a proper-divisor sum of 772,040, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 1753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,262,880

Proper Divisor Sum 772,040

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #490837 ← → #490849

Radix Representation

Decimal	490840
Binary	1110111110101011000 (19 bits)
Octal	0o1676530
Hexadecimal	0x77D58

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1,753 3,506 7,012 8,765 12,271 14,024 17,530 24,542 35,060 49,084 61,355 70,120 98,168 122,710 245,420 490,840

Collatz Trajectory (182 steps to reach 1)

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

490,840 245,420 122,710 61,355 184,066 92,033 276,100 138,050 69,025 207,076 103,538 51,769 155,308 77,654 38,827 116,482 58,241 174,724 87,362 43,681 131,044 65,522 32,761 98,284 49,142 24,571 73,714 36,857 110,572 55,286 27,643 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683

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