λ
Sigma Notebook

5,123,629

7 × 101 × 7247
Deficient Odd Composite

5,123,629 is odd and not a perfect square. Its factorization is 7 × 101 × 7247 and its 8 divisors sum to 5,914,368.

Prime Factor Structure

Factorization String 7 × 101 × 7247
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,914,368
Proper Divisor Sum 790,739
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5123627 ← → #5123639

Radix Representation

Decimal 5123629
Binary 10011100010111000101101 (23 bits)
Octal 0o23427055
Hexadecimal 0x4E2E2D

Divisor Catalog (8)

1 7 101 707 7,247 50,729 731,947 5,123,629

Collatz Trajectory (157 steps to reach 1)

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

5,123,629 15,370,888 7,685,444 3,842,722 1,921,361 5,764,084 2,882,042 1,441,021 4,323,064 2,161,532 1,080,766 540,383 1,621,150 810,575 2,431,726 1,215,863 3,647,590 1,823,795 5,471,386 2,735,693 8,207,080 4,103,540 2,051,770 1,025,885 3,077,656 1,538,828 769,414 384,707 1,154,122 577,061 1,731,184 865,592 432,796 216,398 108,199 324,598 162,299 486,898 243,449 730,348 365,174 182,587 547,762 273,881 821,644 410,822 205,411 616,234 308,117 924,352 462,176 231,088 115,544 57,772 28,886 14,443 43,330 21,665 64,996 32,498

More profiles

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