λ
Ratio Atlas

36,780,751

7 × 19 × 97 × 2851
Deficient Odd Composite

36,780,751 factors as 7 × 19 × 97 × 2851. Its 16 positive divisors give a proper-divisor sum of 7,938,609, so this integer is deficient. The Collatz stopping time is 333 steps.

Prime Factor Structure

Factorization String 7 × 19 × 97 × 2851
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 44,719,360
Proper Divisor Sum 7,938,609
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #36780727 ← → #36780773

Radix Representation

Decimal 36780751
Binary 10001100010011101011001111 (26 bits)
Octal 0o214235317
Hexadecimal 0x2313ACF

Divisor Catalog (16)

Collatz Trajectory (333 steps to reach 1)

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

36,780,751 110,342,254 55,171,127 165,513,382 82,756,691 248,270,074 124,135,037 372,405,112 186,202,556 93,101,278 46,550,639 139,651,918 69,825,959 209,477,878 104,738,939 314,216,818 157,108,409 471,325,228 235,662,614 117,831,307 353,493,922 176,746,961 530,240,884 265,120,442 132,560,221 397,680,664 198,840,332 99,420,166 49,710,083 149,130,250 74,565,125 223,695,376 111,847,688 55,923,844 27,961,922 13,980,961 41,942,884 20,971,442 10,485,721 31,457,164 15,728,582 7,864,291 23,592,874 11,796,437 35,389,312 17,694,656 8,847,328 4,423,664 2,211,832 1,105,916 552,958 276,479 829,438 414,719 1,244,158 622,079 1,866,238 933,119 2,799,358 1,399,679

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