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Atlas › Integer Profiles › Node 10,894,840

10,894,840

23 × 5 × 112 × 2251
Abundant Even Composite

10,894,840 factors as 2^3 × 5 × 11^2 × 2251. Its 48 positive divisors give a proper-divisor sum of 16,061,600, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11^2 × 2251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,956,440
Proper Divisor Sum 16,061,600
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #10894823 ← → #10894843

Radix Representation

Decimal 10894840
Binary 101001100011110111111000 (24 bits)
Octal 0o51436770
Hexadecimal 0xA63DF8

Divisor Catalog (48)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1,210 2,251 2,420 4,502 4,840 9,004 11,255 18,008 22,510 24,761 45,020 49,522 90,040 99,044 123,805 198,088 247,610 272,371 495,220 544,742 990,440 1,089,484 1,361,855 2,178,968 2,723,710 5,447,420 10,894,840

Collatz Trajectory (189 steps to reach 1)

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

10,894,840 5,447,420 2,723,710 1,361,855 4,085,566 2,042,783 6,128,350 3,064,175 9,192,526 4,596,263 13,788,790 6,894,395 20,683,186 10,341,593 31,024,780 15,512,390 7,756,195 23,268,586 11,634,293 34,902,880 17,451,440 8,725,720 4,362,860 2,181,430 1,090,715 3,272,146 1,636,073 4,908,220 2,454,110 1,227,055 3,681,166 1,840,583 5,521,750 2,760,875 8,282,626 4,141,313 12,423,940 6,211,970 3,105,985 9,317,956 4,658,978 2,329,489 6,988,468 3,494,234 1,747,117 5,241,352 2,620,676 1,310,338 655,169 1,965,508 982,754 491,377 1,474,132 737,066 368,533 1,105,600 552,800 276,400 138,200 69,100

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