λ
Sigma Notebook

2,262,252

22 × 3 × 53 × 3557
Abundant Even Composite

2,262,252 is even and not a perfect square. Its factorization is 2^2 × 3 × 53 × 3557 and its 24 divisors sum to 5,379,696.

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 3557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,379,696
Proper Divisor Sum 3,117,444
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2262233 ← → #2262269

Radix Representation

Decimal 2262252
Binary 1000101000010011101100 (22 bits)
Octal 0o10502354
Hexadecimal 0x2284EC

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 3,557 7,114 10,671 14,228 21,342 42,684 188,521 377,042 565,563 754,084 1,131,126 2,262,252

Collatz Trajectory (86 steps to reach 1)

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

2,262,252 1,131,126 565,563 1,696,690 848,345 2,545,036 1,272,518 636,259 1,908,778 954,389 2,863,168 1,431,584 715,792 357,896 178,948 89,474 44,737 134,212 67,106 33,553 100,660 50,330 25,165 75,496 37,748 18,874 9,437 28,312 14,156 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400

More profiles

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