λ
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Atlas › Integer Profiles › Node 35,311,900

35,311,900

22 × 52 × 13 × 23 × 1181
Abundant Even Composite

35,311,900 factors as 2^2 × 5^2 × 13 × 23 × 1181. Its 72 positive divisors give a proper-divisor sum of 50,870,084, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 23 × 1181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 86,181,984
Proper Divisor Sum 50,870,084
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #35311897 ← → #35311909

Radix Representation

Decimal 35311900
Binary 10000110101101000100011100 (26 bits)
Octal 0o206550434
Hexadecimal 0x21AD11C

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1,150 1,181 1,196 1,300 1,495 2,300 2,362 2,990 4,724 5,905 5,980 7,475 11,810 14,950 15,353 23,620 27,163 29,525 29,900 30,706 54,326 59,050 61,412 76,765 108,652 118,100 135,815 153,530 271,630 307,060 353,119 383,825 543,260 679,075

Collatz Trajectory (214 steps to reach 1)

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

35,311,900 17,655,950 8,827,975 26,483,926 13,241,963 39,725,890 19,862,945 59,588,836 29,794,418 14,897,209 44,691,628 22,345,814 11,172,907 33,518,722 16,759,361 50,278,084 25,139,042 12,569,521 37,708,564 18,854,282 9,427,141 28,281,424 14,140,712 7,070,356 3,535,178 1,767,589 5,302,768 2,651,384 1,325,692 662,846 331,423 994,270 497,135 1,491,406 745,703 2,237,110 1,118,555 3,355,666 1,677,833 5,033,500 2,516,750 1,258,375 3,775,126 1,887,563 5,662,690 2,831,345 8,494,036 4,247,018 2,123,509 6,370,528 3,185,264 1,592,632 796,316 398,158 199,079 597,238 298,619 895,858 447,929 1,343,788

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