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Atlas › Integer Profiles › Node 11,281,400

11,281,400

23 × 52 × 13 × 4339
Abundant Even Composite

11,281,400 factors as 2^3 × 5^2 × 13 × 4339. Its 48 positive divisors give a proper-divisor sum of 16,972,000, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 4339
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,253,400
Proper Divisor Sum 16,972,000
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #11281399 ← → #11281409

Radix Representation

Decimal 11281400
Binary 101011000010001111111000 (24 bits)
Octal 0o53021770
Hexadecimal 0xAC23F8

Divisor Catalog (48)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1,300 2,600 4,339 8,678 17,356 21,695 34,712 43,390 56,407 86,780 108,475 112,814 173,560 216,950 225,628 282,035 433,900 451,256 564,070 867,800 1,128,140 1,410,175 2,256,280 2,820,350 5,640,700 11,281,400

Collatz Trajectory (78 steps to reach 1)

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

11,281,400 5,640,700 2,820,350 1,410,175 4,230,526 2,115,263 6,345,790 3,172,895 9,518,686 4,759,343 14,278,030 7,139,015 21,417,046 10,708,523 32,125,570 16,062,785 48,188,356 24,094,178 12,047,089 36,141,268 18,070,634 9,035,317 27,105,952 13,552,976 6,776,488 3,388,244 1,694,122 847,061 2,541,184 1,270,592 635,296 317,648 158,824 79,412 39,706 19,853 59,560 29,780 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56

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