λ
Sigma Notebook

5,135,429

13 × 31 × 12743
Deficient Odd Composite

5,135,429 is odd and not a perfect square. Its factorization is 13 × 31 × 12743 and its 8 divisors sum to 5,709,312.

Prime Factor Structure

Factorization String 13 × 31 × 12743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,709,312
Proper Divisor Sum 573,883
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5135423 ← → #5135437

Radix Representation

Decimal 5135429
Binary 10011100101110001000101 (23 bits)
Octal 0o23456105
Hexadecimal 0x4E5C45

Divisor Catalog (8)

1 13 31 403 12,743 165,659 395,033 5,135,429

Collatz Trajectory (126 steps to reach 1)

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

5,135,429 15,406,288 7,703,144 3,851,572 1,925,786 962,893 2,888,680 1,444,340 722,170 361,085 1,083,256 541,628 270,814 135,407 406,222 203,111 609,334 304,667 914,002 457,001 1,371,004 685,502 342,751 1,028,254 514,127 1,542,382 771,191 2,313,574 1,156,787 3,470,362 1,735,181 5,205,544 2,602,772 1,301,386 650,693 1,952,080 976,040 488,020 244,010 122,005 366,016 183,008 91,504 45,752 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905

More profiles

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