λ
Sigma Notebook

3,403,983

3 × 11 × 19 × 61 × 89
Deficient Odd Composite

3,403,983 is odd and not a perfect square. Its factorization is 3 × 11 × 19 × 61 × 89 and its 32 divisors sum to 5,356,800.

Prime Factor Structure

Factorization String 3 × 11 × 19 × 61 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,356,800
Proper Divisor Sum 1,952,817
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3403973 ← → #3403997

Radix Representation

Decimal 3403983
Binary 1100111111000011001111 (22 bits)
Octal 0o14770317
Hexadecimal 0x33F0CF

Divisor Catalog (32)

1 3 11 19 33 57 61 89 183 209 267 627 671 979 1,159 1,691 2,013 2,937 3,477 5,073 5,429 12,749 16,287 18,601 38,247 55,803 59,719 103,151 179,157 309,453 1,134,661 3,403,983

Collatz Trajectory (115 steps to reach 1)

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

3,403,983 10,211,950 5,105,975 15,317,926 7,658,963 22,976,890 11,488,445 34,465,336 17,232,668 8,616,334 4,308,167 12,924,502 6,462,251 19,386,754 9,693,377 29,080,132 14,540,066 7,270,033 21,810,100 10,905,050 5,452,525 16,357,576 8,178,788 4,089,394 2,044,697 6,134,092 3,067,046 1,533,523 4,600,570 2,300,285 6,900,856 3,450,428 1,725,214 862,607 2,587,822 1,293,911 3,881,734 1,940,867 5,822,602 2,911,301 8,733,904 4,366,952 2,183,476 1,091,738 545,869 1,637,608 818,804 409,402 204,701 614,104 307,052 153,526 76,763 230,290 115,145 345,436 172,718 86,359 259,078 129,539

More profiles

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