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Atlas › Integer Profiles › Node 11,348,200

11,348,200

23 × 52 × 23 × 2467
Abundant Even Composite

11,348,200 factors as 2^3 × 5^2 × 23 × 2467. Its 48 positive divisors give a proper-divisor sum of 16,194,680, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 23 × 2467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,542,880
Proper Divisor Sum 16,194,680
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #11348191 ← → #11348203

Radix Representation

Decimal 11348200
Binary 101011010010100011101000 (24 bits)
Octal 0o53224350
Hexadecimal 0xAD28E8

Divisor Catalog (48)

1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1,150 2,300 2,467 4,600 4,934 9,868 12,335 19,736 24,670 49,340 56,741 61,675 98,680 113,482 123,350 226,964 246,700 283,705 453,928 493,400 567,410 1,134,820 1,418,525 2,269,640 2,837,050 5,674,100 11,348,200

Collatz Trajectory (277 steps to reach 1)

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

11,348,200 5,674,100 2,837,050 1,418,525 4,255,576 2,127,788 1,063,894 531,947 1,595,842 797,921 2,393,764 1,196,882 598,441 1,795,324 897,662 448,831 1,346,494 673,247 2,019,742 1,009,871 3,029,614 1,514,807 4,544,422 2,272,211 6,816,634 3,408,317 10,224,952 5,112,476 2,556,238 1,278,119 3,834,358 1,917,179 5,751,538 2,875,769 8,627,308 4,313,654 2,156,827 6,470,482 3,235,241 9,705,724 4,852,862 2,426,431 7,279,294 3,639,647 10,918,942 5,459,471 16,378,414 8,189,207 24,567,622 12,283,811 36,851,434 18,425,717 55,277,152 27,638,576 13,819,288 6,909,644 3,454,822 1,727,411 5,182,234 2,591,117

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