λ
Ratio Atlas

36,780,795

32 × 5 × 23 × 35537
Deficient Odd Composite

36,780,795 factors as 3^2 × 5 × 23 × 35537. Its 24 positive divisors give a proper-divisor sum of 29,746,341, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 35537
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 66,527,136
Proper Divisor Sum 29,746,341
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36780773 ← → #36780797

Radix Representation

Decimal 36780795
Binary 10001100010011101011111011 (26 bits)
Octal 0o214235373
Hexadecimal 0x2313AFB

Divisor Catalog (24)

Collatz Trajectory (214 steps to reach 1)

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

36,780,795 110,342,386 55,171,193 165,513,580 82,756,790 41,378,395 124,135,186 62,067,593 186,202,780 93,101,390 46,550,695 139,652,086 69,826,043 209,478,130 104,739,065 314,217,196 157,108,598 78,554,299 235,662,898 117,831,449 353,494,348 176,747,174 88,373,587 265,120,762 132,560,381 397,681,144 198,840,572 99,420,286 49,710,143 149,130,430 74,565,215 223,695,646 111,847,823 335,543,470 167,771,735 503,315,206 251,657,603 754,972,810 377,486,405 1,132,459,216 566,229,608 283,114,804 141,557,402 70,778,701 212,336,104 106,168,052 53,084,026 26,542,013 79,626,040 39,813,020 19,906,510 9,953,255 29,859,766 14,929,883 44,789,650 22,394,825 67,184,476 33,592,238 16,796,119 50,388,358

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