λ
Sigma Notebook

83,361

3 × 37 × 751
Deficient Odd Composite

83,361 is odd and not a perfect square. Its factorization is 3 × 37 × 751 and its 8 divisors sum to 114,304.

Prime Factor Structure

Factorization String 3 × 37 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 114,304
Proper Divisor Sum 30,943
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #83357 ← → #83383

Radix Representation

Decimal 83361
Binary 10100010110100001 (17 bits)
Octal 0o242641
Hexadecimal 0x145A1

Divisor Catalog (8)

1 3 37 111 751 2,253 27,787 83,361

Collatz Trajectory (138 steps to reach 1)

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

83,361 250,084 125,042 62,521 187,564 93,782 46,891 140,674 70,337 211,012 105,506 52,753 158,260 79,130 39,565 118,696 59,348 29,674 14,837 44,512 22,256 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

More profiles

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