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Ratio Atlas
Atlas › Integer Profiles › Node 35,834,925

35,834,925

3 × 52 × 74 × 199
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7^4 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 69,464,800
Proper Divisor Sum 33,629,875
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #35834881 ← → #35834927

Radix Representation

Decimal 35834925
Binary 10001000101100110000101101 (26 bits)
Octal 0o210546055
Hexadecimal 0x222CC2D

Divisor Catalog (60)

1 3 5 7 15 21 25 35 49 75 105 147 175 199 245 343 525 597 735 995 1,029 1,225 1,393 1,715 2,401 2,985 3,675 4,179 4,975 5,145 6,965 7,203 8,575 9,751 12,005 14,925 20,895 25,725 29,253 34,825 36,015 48,755 60,025 68,257 104,475 146,265 180,075 204,771 243,775 341,285 477,799 731,325 1,023,855 1,433,397 1,706,425 2,388,995 5,119,275 7,166,985 11,944,975 35,834,925

Collatz Trajectory (170 steps to reach 1)

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

35,834,925 107,504,776 53,752,388 26,876,194 13,438,097 40,314,292 20,157,146 10,078,573 30,235,720 15,117,860 7,558,930 3,779,465 11,338,396 5,669,198 2,834,599 8,503,798 4,251,899 12,755,698 6,377,849 19,133,548 9,566,774 4,783,387 14,350,162 7,175,081 21,525,244 10,762,622 5,381,311 16,143,934 8,071,967 24,215,902 12,107,951 36,323,854 18,161,927 54,485,782 27,242,891 81,728,674 40,864,337 122,593,012 61,296,506 30,648,253 91,944,760 45,972,380 22,986,190 11,493,095 34,479,286 17,239,643 51,718,930 25,859,465 77,578,396 38,789,198 19,394,599 58,183,798 29,091,899 87,275,698 43,637,849 130,913,548 65,456,774 32,728,387 98,185,162 49,092,581

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