λ
Sigma Notebook

1,294,591

31 × 41761
Deficient Odd Composite

1,294,591 is odd and not a perfect square. Its factorization is 31 × 41761 and its 4 divisors sum to 1,336,384.

Prime Factor Structure

Factorization String 31 × 41761
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,336,384
Proper Divisor Sum 41,793
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1294583 ← → #1294597

Radix Representation

Decimal 1294591
Binary 100111100000011111111 (21 bits)
Octal 0o4740377
Hexadecimal 0x13C0FF

Divisor Catalog (4)

1 31 41,761 1,294,591

Collatz Trajectory (93 steps to reach 1)

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

1,294,591 3,883,774 1,941,887 5,825,662 2,912,831 8,738,494 4,369,247 13,107,742 6,553,871 19,661,614 9,830,807 29,492,422 14,746,211 44,238,634 22,119,317 66,357,952 33,178,976 16,589,488 8,294,744 4,147,372 2,073,686 1,036,843 3,110,530 1,555,265 4,665,796 2,332,898 1,166,449 3,499,348 1,749,674 874,837 2,624,512 1,312,256 656,128 328,064 164,032 82,016 41,008 20,504 10,252 5,126 2,563 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229

More profiles

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