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Atlas › Integer Profiles › Node 11,038,300

11,038,300

22 × 52 × 7 × 13 × 1213
Abundant Even Composite

11,038,300 factors as 2^2 × 5^2 × 7 × 13 × 1213. Its 72 positive divisors give a proper-divisor sum of 18,466,756, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 13 × 1213
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 29,505,056
Proper Divisor Sum 18,466,756
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #11038289 ← → #11038301

Radix Representation

Decimal 11038300
Binary 101010000110111001011100 (24 bits)
Octal 0o52067134
Hexadecimal 0xA86E5C

Divisor Catalog (60 of 72)

1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1,213 1,300 1,820 2,275 2,426 4,550 4,852 6,065 8,491 9,100 12,130 15,769 16,982 24,260 30,325 31,538 33,964 42,455 60,650 63,076 78,845 84,910 110,383 121,300 157,690 169,820 212,275 220,766 315,380

Collatz Trajectory (96 steps to reach 1)

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

11,038,300 5,519,150 2,759,575 8,278,726 4,139,363 12,418,090 6,209,045 18,627,136 9,313,568 4,656,784 2,328,392 1,164,196 582,098 291,049 873,148 436,574 218,287 654,862 327,431 982,294 491,147 1,473,442 736,721 2,210,164 1,105,082 552,541 1,657,624 828,812 414,406 207,203 621,610 310,805 932,416 466,208 233,104 116,552 58,276 29,138 14,569 43,708 21,854 10,927 32,782 16,391 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945

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