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Atlas › Integer Profiles › Node 36,920,850

36,920,850

2 × 3 × 52 × 47 × 5237
Abundant Even Composite

36,920,850 factors as 2 × 3 × 5^2 × 47 × 5237. Its 48 positive divisors give a proper-divisor sum of 56,608,878, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 47 × 5237
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 93,529,728
Proper Divisor Sum 56,608,878
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36920837 ← → #36920867

Radix Representation

Decimal 36920850
Binary 10001100110101111000010010 (26 bits)
Octal 0o214657022
Hexadecimal 0x2335E12

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1,175 1,410 2,350 3,525 5,237 7,050 10,474 15,711 26,185 31,422 52,370 78,555 130,925 157,110 246,139 261,850 392,775 492,278 738,417 785,550 1,230,695 1,476,834 2,461,390 3,692,085 6,153,475 7,384,170 12,306,950 18,460,425 36,920,850

Collatz Trajectory (214 steps to reach 1)

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

36,920,850 18,460,425 55,381,276 27,690,638 13,845,319 41,535,958 20,767,979 62,303,938 31,151,969 93,455,908 46,727,954 23,363,977 70,091,932 35,045,966 17,522,983 52,568,950 26,284,475 78,853,426 39,426,713 118,280,140 59,140,070 29,570,035 88,710,106 44,355,053 133,065,160 66,532,580 33,266,290 16,633,145 49,899,436 24,949,718 12,474,859 37,424,578 18,712,289 56,136,868 28,068,434 14,034,217 42,102,652 21,051,326 10,525,663 31,576,990 15,788,495 47,365,486 23,682,743 71,048,230 35,524,115 106,572,346 53,286,173 159,858,520 79,929,260 39,964,630 19,982,315 59,946,946 29,973,473 89,920,420 44,960,210 22,480,105 67,440,316 33,720,158 16,860,079 50,580,238

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