λ
Sigma Notebook

111,454

2 × 7 × 19 × 419
Deficient Even Composite

111,454 is even and not a perfect square. Its factorization is 2 × 7 × 19 × 419 and its 16 divisors sum to 201,600.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 201,600
Proper Divisor Sum 90,146
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #111443 ← → #111467

Radix Representation

Decimal 111454
Binary 11011001101011110 (17 bits)
Octal 0o331536
Hexadecimal 0x1B35E

Divisor Catalog (16)

1 2 7 14 19 38 133 266 419 838 2,933 5,866 7,961 15,922 55,727 111,454

Collatz Trajectory (66 steps to reach 1)

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

111,454 55,727 167,182 83,591 250,774 125,387 376,162 188,081 564,244 282,122 141,061 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20

More profiles

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