λ
Sigma Notebook

1,036,026

2 × 32 × 57557
Abundant Even Composite

1,036,026 is even and not a perfect square. Its factorization is 2 × 3^2 × 57557 and its 12 divisors sum to 2,244,762.

Prime Factor Structure

Factorization String 2 × 3^2 × 57557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,244,762
Proper Divisor Sum 1,208,736
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1036003 ← → #1036027

Radix Representation

Decimal 1036026
Binary 11111100111011111010 (20 bits)
Octal 0o3747372
Hexadecimal 0xFCEFA

Divisor Catalog (12)

1 2 3 6 9 18 57,557 115,114 172,671 345,342 518,013 1,036,026

Collatz Trajectory (121 steps to reach 1)

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

1,036,026 518,013 1,554,040 777,020 388,510 194,255 582,766 291,383 874,150 437,075 1,311,226 655,613 1,966,840 983,420 491,710 245,855 737,566 368,783 1,106,350 553,175 1,659,526 829,763 2,489,290 1,244,645 3,733,936 1,866,968 933,484 466,742 233,371 700,114 350,057 1,050,172 525,086 262,543 787,630 393,815 1,181,446 590,723 1,772,170 886,085 2,658,256 1,329,128 664,564 332,282 166,141 498,424 249,212 124,606 62,303 186,910 93,455 280,366 140,183 420,550 210,275 630,826 315,413 946,240 473,120 236,560

More profiles

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