λ
Sigma Notebook

5,125,375

53 × 131 × 313
Deficient Odd Composite

5,125,375 is odd and not a perfect square. Its factorization is 5^3 × 131 × 313 and its 16 divisors sum to 6,465,888.

Prime Factor Structure

Factorization String 5^3 × 131 × 313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,465,888
Proper Divisor Sum 1,340,513
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5125363 ← → #5125391

Radix Representation

Decimal 5125375
Binary 10011100011010011111111 (23 bits)
Octal 0o23432377
Hexadecimal 0x4E34FF

Divisor Catalog (16)

1 5 25 125 131 313 655 1,565 3,275 7,825 16,375 39,125 41,003 205,015 1,025,075 5,125,375

Collatz Trajectory (74 steps to reach 1)

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

5,125,375 15,376,126 7,688,063 23,064,190 11,532,095 34,596,286 17,298,143 51,894,430 25,947,215 77,841,646 38,920,823 116,762,470 58,381,235 175,143,706 87,571,853 262,715,560 131,357,780 65,678,890 32,839,445 98,518,336 49,259,168 24,629,584 12,314,792 6,157,396 3,078,698 1,539,349 4,618,048 2,309,024 1,154,512 577,256 288,628 144,314 72,157 216,472 108,236 54,118 27,059 81,178 40,589 121,768 60,884 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904

More profiles

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