λ
Ratio Atlas

11,831,775

3 × 52 × 193 × 23
Deficient Odd Composite

11,831,775 factors as 3 × 5^2 × 19^3 × 23. Its 48 positive divisors give a proper-divisor sum of 9,714,465, so this integer is deficient. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 19^3 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,546,240
Proper Divisor Sum 9,714,465
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #11831761 ← → #11831803

Radix Representation

Decimal 11831775
Binary 101101001000100111011111 (24 bits)
Octal 0o55104737
Hexadecimal 0xB489DF

Divisor Catalog (48)

Collatz Trajectory (246 steps to reach 1)

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

11,831,775 35,495,326 17,747,663 53,242,990 26,621,495 79,864,486 39,932,243 119,796,730 59,898,365 179,695,096 89,847,548 44,923,774 22,461,887 67,385,662 33,692,831 101,078,494 50,539,247 151,617,742 75,808,871 227,426,614 113,713,307 341,139,922 170,569,961 511,709,884 255,854,942 127,927,471 383,782,414 191,891,207 575,673,622 287,836,811 863,510,434 431,755,217 1,295,265,652 647,632,826 323,816,413 971,449,240 485,724,620 242,862,310 121,431,155 364,293,466 182,146,733 546,440,200 273,220,100 136,610,050 68,305,025 204,915,076 102,457,538 51,228,769 153,686,308 76,843,154 38,421,577 115,264,732 57,632,366 28,816,183 86,448,550 43,224,275 129,672,826 64,836,413 194,509,240 97,254,620

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