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Atlas › Integer Profiles › Node 35,164,610

35,164,610

2 × 5 × 13 × 83 × 3259
Deficient Even Composite

35,164,610 factors as 2 × 5 × 13 × 83 × 3259. Its 32 positive divisors give a proper-divisor sum of 33,843,070, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 83 × 3259
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 69,007,680
Proper Divisor Sum 33,843,070
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #35164607 ← → #35164639

Radix Representation

Decimal 35164610
Binary 10000110001001000111000010 (26 bits)
Octal 0o206110702
Hexadecimal 0x21891C2

Divisor Catalog (32)

1 2 5 10 13 26 65 83 130 166 415 830 1,079 2,158 3,259 5,395 6,518 10,790 16,295 32,590 42,367 84,734 211,835 270,497 423,670 540,994 1,352,485 2,704,970 3,516,461 7,032,922 17,582,305 35,164,610

Collatz Trajectory (245 steps to reach 1)

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

35,164,610 17,582,305 52,746,916 26,373,458 13,186,729 39,560,188 19,780,094 9,890,047 29,670,142 14,835,071 44,505,214 22,252,607 66,757,822 33,378,911 100,136,734 50,068,367 150,205,102 75,102,551 225,307,654 112,653,827 337,961,482 168,980,741 506,942,224 253,471,112 126,735,556 63,367,778 31,683,889 95,051,668 47,525,834 23,762,917 71,288,752 35,644,376 17,822,188 8,911,094 4,455,547 13,366,642 6,683,321 20,049,964 10,024,982 5,012,491 15,037,474 7,518,737 22,556,212 11,278,106 5,639,053 16,917,160 8,458,580 4,229,290 2,114,645 6,343,936 3,171,968 1,585,984 792,992 396,496 198,248 99,124 49,562 24,781 74,344 37,172

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