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Atlas › Integer Profiles › Node 11,045,720

11,045,720

23 × 5 × 7 × 103 × 383
Abundant Even Composite

11,045,720 factors as 2^3 × 5 × 7 × 103 × 383. Its 64 positive divisors give a proper-divisor sum of 17,708,200, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 103 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,753,920
Proper Divisor Sum 17,708,200
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #11045719 ← → #11045729

Radix Representation

Decimal 11045720
Binary 101010001000101101011000 (24 bits)
Octal 0o52105530
Hexadecimal 0xA88B58

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 383 412 515 721 766 824 1,030 1,442 1,532 1,915 2,060 2,681 2,884 3,064 3,605 3,830 4,120 5,362 5,768 7,210 7,660 10,724 13,405 14,420 15,320 21,448 26,810 28,840 39,449 53,620 78,898 107,240 157,796 197,245 276,143 315,592 394,490 552,286 788,980 1,104,572 1,380,715 1,577,960

Collatz Trajectory (140 steps to reach 1)

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

11,045,720 5,522,860 2,761,430 1,380,715 4,142,146 2,071,073 6,213,220 3,106,610 1,553,305 4,659,916 2,329,958 1,164,979 3,494,938 1,747,469 5,242,408 2,621,204 1,310,602 655,301 1,965,904 982,952 491,476 245,738 122,869 368,608 184,304 92,152 46,076 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388

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