λ
Sigma Notebook

4,231,720

23 × 5 × 67 × 1579
Abundant Even Composite

4,231,720 is even and not a perfect square. Its factorization is 2^3 × 5 × 67 × 1579 and its 32 divisors sum to 9,669,600.

Prime Factor Structure

Factorization String 2^3 × 5 × 67 × 1579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,669,600
Proper Divisor Sum 5,437,880
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4231697 ← → #4231723

Radix Representation

Decimal 4231720
Binary 10000001001001000101000 (23 bits)
Octal 0o20111050
Hexadecimal 0x409228

Divisor Catalog (32)

1 2 4 5 8 10 20 40 67 134 268 335 536 670 1,340 1,579 2,680 3,158 6,316 7,895 12,632 15,790 31,580 63,160 105,793 211,586 423,172 528,965 846,344 1,057,930 2,115,860 4,231,720

Collatz Trajectory (74 steps to reach 1)

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

4,231,720 2,115,860 1,057,930 528,965 1,586,896 793,448 396,724 198,362 99,181 297,544 148,772 74,386 37,193 111,580 55,790 27,895 83,686 41,843 125,530 62,765 188,296 94,148 47,074 23,537 70,612 35,306 17,653 52,960 26,480 13,240 6,620 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22

More profiles

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