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Atlas › Integer Profiles › Node 35,714,500

35,714,500

22 × 53 × 71429
Abundant Even Composite

35,714,500 factors as 2^2 × 5^3 × 71429. Its 24 positive divisors give a proper-divisor sum of 42,287,060, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 71429
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 78,001,560
Proper Divisor Sum 42,287,060
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #35714489 ← → #35714507

Radix Representation

Decimal 35714500
Binary 10001000001111010111000100 (26 bits)
Octal 0o210172704
Hexadecimal 0x220F5C4

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 71,429 142,858 285,716 357,145 714,290 1,428,580 1,785,725 3,571,450 7,142,900 8,928,625 17,857,250 35,714,500

Collatz Trajectory (121 steps to reach 1)

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

35,714,500 17,857,250 8,928,625 26,785,876 13,392,938 6,696,469 20,089,408 10,044,704 5,022,352 2,511,176 1,255,588 627,794 313,897 941,692 470,846 235,423 706,270 353,135 1,059,406 529,703 1,589,110 794,555 2,383,666 1,191,833 3,575,500 1,787,750 893,875 2,681,626 1,340,813 4,022,440 2,011,220 1,005,610 502,805 1,508,416 754,208 377,104 188,552 94,276 47,138 23,569 70,708 35,354 17,677 53,032 26,516 13,258 6,629 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298

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