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Atlas › Integer Profiles › Node 51,622,677

51,622,677

36 × 19 × 3727
Deficient Odd Composite

51,622,677 factors as 3^6 × 19 × 3727. Its 28 positive divisors give a proper-divisor sum of 29,871,403, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3^6 × 19 × 3727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 81,494,080
Proper Divisor Sum 29,871,403
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #51622667 ← → #51622679

Radix Representation

Decimal 51622677
Binary 11000100111011001100010101 (26 bits)
Octal 0o304731425
Hexadecimal 0x313B315

Divisor Catalog (28)

1 3 9 19 27 57 81 171 243 513 729 1,539 3,727 4,617 11,181 13,851 33,543 70,813 100,629 212,439 301,887 637,317 905,661 1,911,951 2,716,983 5,735,853 17,207,559 51,622,677

Collatz Trajectory (137 steps to reach 1)

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

51,622,677 154,868,032 77,434,016 38,717,008 19,358,504 9,679,252 4,839,626 2,419,813 7,259,440 3,629,720 1,814,860 907,430 453,715 1,361,146 680,573 2,041,720 1,020,860 510,430 255,215 765,646 382,823 1,148,470 574,235 1,722,706 861,353 2,584,060 1,292,030 646,015 1,938,046 969,023 2,907,070 1,453,535 4,360,606 2,180,303 6,540,910 3,270,455 9,811,366 4,905,683 14,717,050 7,358,525 22,075,576 11,037,788 5,518,894 2,759,447 8,278,342 4,139,171 12,417,514 6,208,757 18,626,272 9,313,136 4,656,568 2,328,284 1,164,142 582,071 1,746,214 873,107 2,619,322 1,309,661 3,928,984 1,964,492

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