λ
Ratio Atlas

32,201,839

31 × 61 × 17029
Deficient Odd Composite

32,201,839 factors as 31 × 61 × 17029. Its 8 positive divisors give a proper-divisor sum of 1,585,681, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 31 × 61 × 17029
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 33,787,520
Proper Divisor Sum 1,585,681
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #32201821 ← → #32201849

Radix Representation

Decimal 32201839
Binary 1111010110101110001101111 (25 bits)
Octal 0o172656157
Hexadecimal 0x1EB5C6F

Divisor Catalog (8)

Collatz Trajectory (175 steps to reach 1)

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

32,201,839 96,605,518 48,302,759 144,908,278 72,454,139 217,362,418 108,681,209 326,043,628 163,021,814 81,510,907 244,532,722 122,266,361 366,799,084 183,399,542 91,699,771 275,099,314 137,549,657 412,648,972 206,324,486 103,162,243 309,486,730 154,743,365 464,230,096 232,115,048 116,057,524 58,028,762 29,014,381 87,043,144 43,521,572 21,760,786 10,880,393 32,641,180 16,320,590 8,160,295 24,480,886 12,240,443 36,721,330 18,360,665 55,081,996 27,540,998 13,770,499 41,311,498 20,655,749 61,967,248 30,983,624 15,491,812 7,745,906 3,872,953 11,618,860 5,809,430 2,904,715 8,714,146 4,357,073 13,071,220 6,535,610 3,267,805 9,803,416 4,901,708 2,450,854 1,225,427

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