λ
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Atlas › Integer Profiles › Node 10,813,280

10,813,280

25 × 5 × 19 × 3557
Abundant Even Composite

10,813,280 factors as 2^5 × 5 × 19 × 3557. Its 48 positive divisors give a proper-divisor sum of 16,085,200, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 19 × 3557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,898,480
Proper Divisor Sum 16,085,200
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10813279 ← → #10813291

Radix Representation

Decimal 10813280
Binary 101001001111111101100000 (24 bits)
Octal 0o51177540
Hexadecimal 0xA4FF60

Divisor Catalog (48)

1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1,520 3,040 3,557 7,114 14,228 17,785 28,456 35,570 56,912 67,583 71,140 113,824 135,166 142,280 270,332 284,560 337,915 540,664 569,120 675,830 1,081,328 1,351,660 2,162,656 2,703,320 5,406,640 10,813,280

Collatz Trajectory (251 steps to reach 1)

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

10,813,280 5,406,640 2,703,320 1,351,660 675,830 337,915 1,013,746 506,873 1,520,620 760,310 380,155 1,140,466 570,233 1,710,700 855,350 427,675 1,283,026 641,513 1,924,540 962,270 481,135 1,443,406 721,703 2,165,110 1,082,555 3,247,666 1,623,833 4,871,500 2,435,750 1,217,875 3,653,626 1,826,813 5,480,440 2,740,220 1,370,110 685,055 2,055,166 1,027,583 3,082,750 1,541,375 4,624,126 2,312,063 6,936,190 3,468,095 10,404,286 5,202,143 15,606,430 7,803,215 23,409,646 11,704,823 35,114,470 17,557,235 52,671,706 26,335,853 79,007,560 39,503,780 19,751,890 9,875,945 29,627,836 14,813,918

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