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Atlas › Integer Profiles › Node 56,088,090

56,088,090

2 × 32 × 5 × 73 × 8537
Abundant Even Composite

56,088,090 factors as 2 × 3^2 × 5 × 73 × 8537. Its 48 positive divisors give a proper-divisor sum of 91,755,918, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 73 × 8537
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 147,844,008
Proper Divisor Sum 91,755,918
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #56088077 ← → #56088091

Radix Representation

Decimal 56088090
Binary 11010101111101011000011010 (26 bits)
Octal 0o325753032
Hexadecimal 0x357D61A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1,095 1,314 2,190 3,285 6,570 8,537 17,074 25,611 42,685 51,222 76,833 85,370 128,055 153,666 256,110 384,165 623,201 768,330 1,246,402 1,869,603 3,116,005 3,739,206 5,608,809 6,232,010 9,348,015 11,217,618 18,696,030 28,044,045 56,088,090

Collatz Trajectory (150 steps to reach 1)

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

56,088,090 28,044,045 84,132,136 42,066,068 21,033,034 10,516,517 31,549,552 15,774,776 7,887,388 3,943,694 1,971,847 5,915,542 2,957,771 8,873,314 4,436,657 13,309,972 6,654,986 3,327,493 9,982,480 4,991,240 2,495,620 1,247,810 623,905 1,871,716 935,858 467,929 1,403,788 701,894 350,947 1,052,842 526,421 1,579,264 789,632 394,816 197,408 98,704 49,352 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648

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