56,282,080

2⁵ × 5 × 351763

56,282,080 factors as 2^5 × 5 × 351763. Its 24 positive divisors give a proper-divisor sum of 76,684,712, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 351763

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 132,966,792

Proper Divisor Sum 76,684,712

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #56282059 ← → #56282089

Radix Representation

Decimal	56282080
Binary	11010110101100101111100000 (26 bits)
Octal	0o326545740
Hexadecimal	0x35ACBE0

Divisor Catalog (24)

Collatz Trajectory (106 steps to reach 1)

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

56,282,080 28,141,040 14,070,520 7,035,260 3,517,630 1,758,815 5,276,446 2,638,223 7,914,670 3,957,335 11,872,006 5,936,003 17,808,010 8,904,005 26,712,016 13,356,008 6,678,004 3,339,002 1,669,501 5,008,504 2,504,252 1,252,126 626,063 1,878,190 939,095 2,817,286 1,408,643 4,225,930 2,112,965 6,338,896 3,169,448 1,584,724 792,362 396,181 1,188,544 594,272 297,136 148,568 74,284 37,142 18,571 55,714 27,857 83,572 41,786 20,893 62,680 31,340 15,670 7,835 23,506 11,753 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #56,282,079 Browse Full Index Next Integer #56,282,081 →