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Atlas › Integer Profiles › Node 36,976,260

36,976,260

22 × 3 × 5 × 41 × 15031
Abundant Even Composite

36,976,260 factors as 2^2 × 3 × 5 × 41 × 15031. Its 48 positive divisors give a proper-divisor sum of 69,089,532, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 41 × 15031
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 106,065,792
Proper Divisor Sum 69,089,532
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36976253 ← → #36976267

Radix Representation

Decimal 36976260
Binary 10001101000011011010000100 (26 bits)
Octal 0o215033204
Hexadecimal 0x2343684

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1,230 2,460 15,031 30,062 45,093 60,124 75,155 90,186 150,310 180,372 225,465 300,620 450,930 616,271 901,860 1,232,542 1,848,813 2,465,084 3,081,355 3,697,626 6,162,710 7,395,252 9,244,065 12,325,420 18,488,130 36,976,260

Collatz Trajectory (227 steps to reach 1)

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

36,976,260 18,488,130 9,244,065 27,732,196 13,866,098 6,933,049 20,799,148 10,399,574 5,199,787 15,599,362 7,799,681 23,399,044 11,699,522 5,849,761 17,549,284 8,774,642 4,387,321 13,161,964 6,580,982 3,290,491 9,871,474 4,935,737 14,807,212 7,403,606 3,701,803 11,105,410 5,552,705 16,658,116 8,329,058 4,164,529 12,493,588 6,246,794 3,123,397 9,370,192 4,685,096 2,342,548 1,171,274 585,637 1,756,912 878,456 439,228 219,614 109,807 329,422 164,711 494,134 247,067 741,202 370,601 1,111,804 555,902 277,951 833,854 416,927 1,250,782 625,391 1,876,174 938,087 2,814,262 1,407,131

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