λ
Sigma Notebook

5,016,126

2 × 3 × 257 × 3253
Abundant Even Composite

5,016,126 is even and not a perfect square. Its factorization is 2 × 3 × 257 × 3253 and its 16 divisors sum to 10,074,384.

Prime Factor Structure

Factorization String 2 × 3 × 257 × 3253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,074,384
Proper Divisor Sum 5,058,258
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5016113 ← → #5016149

Radix Representation

Decimal 5016126
Binary 10011001000101000111110 (23 bits)
Octal 0o23105076
Hexadecimal 0x4C8A3E

Divisor Catalog (16)

1 2 3 6 257 514 771 1,542 3,253 6,506 9,759 19,518 836,021 1,672,042 2,508,063 5,016,126

Collatz Trajectory (175 steps to reach 1)

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

5,016,126 2,508,063 7,524,190 3,762,095 11,286,286 5,643,143 16,929,430 8,464,715 25,394,146 12,697,073 38,091,220 19,045,610 9,522,805 28,568,416 14,284,208 7,142,104 3,571,052 1,785,526 892,763 2,678,290 1,339,145 4,017,436 2,008,718 1,004,359 3,013,078 1,506,539 4,519,618 2,259,809 6,779,428 3,389,714 1,694,857 5,084,572 2,542,286 1,271,143 3,813,430 1,906,715 5,720,146 2,860,073 8,580,220 4,290,110 2,145,055 6,435,166 3,217,583 9,652,750 4,826,375 14,479,126 7,239,563 21,718,690 10,859,345 32,578,036 16,289,018 8,144,509 24,433,528 12,216,764 6,108,382 3,054,191 9,162,574 4,581,287 13,743,862 6,871,931

More profiles

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