λ
Sigma Notebook

2,270,420

22 × 5 × 61 × 1861
Abundant Even Composite

2,270,420 is even and not a perfect square. Its factorization is 2^2 × 5 × 61 × 1861 and its 24 divisors sum to 4,848,648.

Prime Factor Structure

Factorization String 2^2 × 5 × 61 × 1861
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,848,648
Proper Divisor Sum 2,578,228
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2270413 ← → #2270423

Radix Representation

Decimal 2270420
Binary 1000101010010011010100 (22 bits)
Octal 0o10522324
Hexadecimal 0x22A4D4

Divisor Catalog (24)

1 2 4 5 10 20 61 122 244 305 610 1,220 1,861 3,722 7,444 9,305 18,610 37,220 113,521 227,042 454,084 567,605 1,135,210 2,270,420

Collatz Trajectory (55 steps to reach 1)

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

2,270,420 1,135,210 567,605 1,702,816 851,408 425,704 212,852 106,426 53,213 159,640 79,820 39,910 19,955 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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