λ
Sigma Notebook

1,031,404

22 × 112 × 2131
Deficient Even Composite

1,031,404 is even and not a perfect square. Its factorization is 2^2 × 11^2 × 2131 and its 18 divisors sum to 1,984,892.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 2131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,984,892
Proper Divisor Sum 953,488
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1031399 ← → #1031411

Radix Representation

Decimal 1031404
Binary 11111011110011101100 (20 bits)
Octal 0o3736354
Hexadecimal 0xFBCEC

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 2,131 4,262 8,524 23,441 46,882 93,764 257,851 515,702 1,031,404

Collatz Trajectory (134 steps to reach 1)

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

1,031,404 515,702 257,851 773,554 386,777 1,160,332 580,166 290,083 870,250 435,125 1,305,376 652,688 326,344 163,172 81,586 40,793 122,380 61,190 30,595 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275

More profiles

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