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Atlas › Integer Profiles › Node 36,920,556

36,920,556

22 × 33 × 103 × 3319
Abundant Even Composite

36,920,556 factors as 2^2 × 3^3 × 103 × 3319. Its 48 positive divisors give a proper-divisor sum of 59,757,844, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 103 × 3319
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 96,678,400
Proper Divisor Sum 59,757,844
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36920537 ← → #36920593

Radix Representation

Decimal 36920556
Binary 10001100110101110011101100 (26 bits)
Octal 0o214656354
Hexadecimal 0x2335CEC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1,236 1,854 2,781 3,319 3,708 5,562 6,638 9,957 11,124 13,276 19,914 29,871 39,828 59,742 89,613 119,484 179,226 341,857 358,452 683,714 1,025,571 1,367,428 2,051,142 3,076,713 4,102,284 6,153,426 9,230,139 12,306,852 18,460,278 36,920,556

Collatz Trajectory (77 steps to reach 1)

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

36,920,556 18,460,278 9,230,139 27,690,418 13,845,209 41,535,628 20,767,814 10,383,907 31,151,722 15,575,861 46,727,584 23,363,792 11,681,896 5,840,948 2,920,474 1,460,237 4,380,712 2,190,356 1,095,178 547,589 1,642,768 821,384 410,692 205,346 102,673 308,020 154,010 77,005 231,016 115,508 57,754 28,877 86,632 43,316 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181

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