λ
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Atlas › Integer Profiles › Node 36,097,028

36,097,028

22 × 11 × 23 × 53 × 673
Abundant Even Composite

36,097,028 factors as 2^2 × 11 × 23 × 53 × 673. Its 48 positive divisors give a proper-divisor sum of 37,277,308, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 53 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 73,374,336
Proper Divisor Sum 37,277,308
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36097027 ← → #36097031

Radix Representation

Decimal 36097028
Binary 10001001101100110000000100 (26 bits)
Octal 0o211546004
Hexadecimal 0x226CC04

Divisor Catalog (48)

1 2 4 11 22 23 44 46 53 92 106 212 253 506 583 673 1,012 1,166 1,219 1,346 2,332 2,438 2,692 4,876 7,403 13,409 14,806 15,479 26,818 29,612 30,958 35,669 53,636 61,916 71,338 142,676 170,269 340,538 392,359 681,076 784,718 820,387 1,569,436 1,640,774 3,281,548 9,024,257 18,048,514 36,097,028

Collatz Trajectory (113 steps to reach 1)

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

36,097,028 18,048,514 9,024,257 27,072,772 13,536,386 6,768,193 20,304,580 10,152,290 5,076,145 15,228,436 7,614,218 3,807,109 11,421,328 5,710,664 2,855,332 1,427,666 713,833 2,141,500 1,070,750 535,375 1,606,126 803,063 2,409,190 1,204,595 3,613,786 1,806,893 5,420,680 2,710,340 1,355,170 677,585 2,032,756 1,016,378 508,189 1,524,568 762,284 381,142 190,571 571,714 285,857 857,572 428,786 214,393 643,180 321,590 160,795 482,386 241,193 723,580 361,790 180,895 542,686 271,343 814,030 407,015 1,221,046 610,523 1,831,570 915,785 2,747,356 1,373,678

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