λ
Sigma Notebook

6,301,959

3 × 31 × 67763
Deficient Odd Composite

6,301,959 is odd and not a perfect square. Its factorization is 3 × 31 × 67763 and its 8 divisors sum to 8,673,792.

Prime Factor Structure

Factorization String 3 × 31 × 67763
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,673,792
Proper Divisor Sum 2,371,833
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6301957 ← → #6301963

Radix Representation

Decimal 6301959
Binary 11000000010100100000111 (23 bits)
Octal 0o30024407
Hexadecimal 0x602907

Divisor Catalog (8)

1 3 31 93 67,763 203,289 2,100,653 6,301,959

Collatz Trajectory (227 steps to reach 1)

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

6,301,959 18,905,878 9,452,939 28,358,818 14,179,409 42,538,228 21,269,114 10,634,557 31,903,672 15,951,836 7,975,918 3,987,959 11,963,878 5,981,939 17,945,818 8,972,909 26,918,728 13,459,364 6,729,682 3,364,841 10,094,524 5,047,262 2,523,631 7,570,894 3,785,447 11,356,342 5,678,171 17,034,514 8,517,257 25,551,772 12,775,886 6,387,943 19,163,830 9,581,915 28,745,746 14,372,873 43,118,620 21,559,310 10,779,655 32,338,966 16,169,483 48,508,450 24,254,225 72,762,676 36,381,338 18,190,669 54,572,008 27,286,004 13,643,002 6,821,501 20,464,504 10,232,252 5,116,126 2,558,063 7,674,190 3,837,095 11,511,286 5,755,643 17,266,930 8,633,465

More profiles

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