λ
Sigma Notebook

9,757,833

3 × 29 × 59 × 1901
Deficient Odd Composite

9,757,833 is odd and not a perfect square. Its factorization is 3 × 29 × 59 × 1901 and its 16 divisors sum to 13,694,400.

Prime Factor Structure

Factorization String 3 × 29 × 59 × 1901
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,694,400
Proper Divisor Sum 3,936,567
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9757831 ← → #9757873

Radix Representation

Decimal 9757833
Binary 100101001110010010001001 (24 bits)
Octal 0o45162211
Hexadecimal 0x94E489

Divisor Catalog (16)

1 3 29 59 87 177 1,711 1,901 5,133 5,703 55,129 112,159 165,387 336,477 3,252,611 9,757,833

Collatz Trajectory (220 steps to reach 1)

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

9,757,833 29,273,500 14,636,750 7,318,375 21,955,126 10,977,563 32,932,690 16,466,345 49,399,036 24,699,518 12,349,759 37,049,278 18,524,639 55,573,918 27,786,959 83,360,878 41,680,439 125,041,318 62,520,659 187,561,978 93,780,989 281,342,968 140,671,484 70,335,742 35,167,871 105,503,614 52,751,807 158,255,422 79,127,711 237,383,134 118,691,567 356,074,702 178,037,351 534,112,054 267,056,027 801,168,082 400,584,041 1,201,752,124 600,876,062 300,438,031 901,314,094 450,657,047 1,351,971,142 675,985,571 2,027,956,714 1,013,978,357 3,041,935,072 1,520,967,536 760,483,768 380,241,884 190,120,942 95,060,471 285,181,414 142,590,707 427,772,122 213,886,061 641,658,184 320,829,092 160,414,546 80,207,273

More profiles

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