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Atlas › Integer Profiles › Node 35,763,585

35,763,585

3 × 5 × 11 × 13 × 16673
Deficient Odd Composite

35,763,585 factors as 3 × 5 × 11 × 13 × 16673. Its 32 positive divisors give a proper-divisor sum of 31,465,983, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 13 × 16673
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,229,568
Proper Divisor Sum 31,465,983
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #35763527 ← → #35763587

Radix Representation

Decimal 35763585
Binary 10001000011011010110000001 (26 bits)
Octal 0o210332601
Hexadecimal 0x221B581

Divisor Catalog (32)

1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2,145 16,673 50,019 83,365 183,403 216,749 250,095 550,209 650,247 917,015 1,083,745 2,384,239 2,751,045 3,251,235 7,152,717 11,921,195 35,763,585

Collatz Trajectory (214 steps to reach 1)

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

35,763,585 107,290,756 53,645,378 26,822,689 80,468,068 40,234,034 20,117,017 60,351,052 30,175,526 15,087,763 45,263,290 22,631,645 67,894,936 33,947,468 16,973,734 8,486,867 25,460,602 12,730,301 38,190,904 19,095,452 9,547,726 4,773,863 14,321,590 7,160,795 21,482,386 10,741,193 32,223,580 16,111,790 8,055,895 24,167,686 12,083,843 36,251,530 18,125,765 54,377,296 27,188,648 13,594,324 6,797,162 3,398,581 10,195,744 5,097,872 2,548,936 1,274,468 637,234 318,617 955,852 477,926 238,963 716,890 358,445 1,075,336 537,668 268,834 134,417 403,252 201,626 100,813 302,440 151,220 75,610 37,805

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