λ
Sigma Notebook

4,920,436

22 × 23 × 79 × 677
Deficient Even Composite

4,920,436 is even and not a perfect square. Its factorization is 2^2 × 23 × 79 × 677 and its 24 divisors sum to 9,112,320.

Prime Factor Structure

Factorization String 2^2 × 23 × 79 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,112,320
Proper Divisor Sum 4,191,884
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4920407 ← → #4920437

Radix Representation

Decimal 4920436
Binary 10010110001010001110100 (23 bits)
Octal 0o22612164
Hexadecimal 0x4B1474

Divisor Catalog (24)

1 2 4 23 46 79 92 158 316 677 1,354 1,817 2,708 3,634 7,268 15,571 31,142 53,483 62,284 106,966 213,932 1,230,109 2,460,218 4,920,436

Collatz Trajectory (206 steps to reach 1)

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

4,920,436 2,460,218 1,230,109 3,690,328 1,845,164 922,582 461,291 1,383,874 691,937 2,075,812 1,037,906 518,953 1,556,860 778,430 389,215 1,167,646 583,823 1,751,470 875,735 2,627,206 1,313,603 3,940,810 1,970,405 5,911,216 2,955,608 1,477,804 738,902 369,451 1,108,354 554,177 1,662,532 831,266 415,633 1,246,900 623,450 311,725 935,176 467,588 233,794 116,897 350,692 175,346 87,673 263,020 131,510 65,755 197,266 98,633 295,900 147,950 73,975 221,926 110,963 332,890 166,445 499,336 249,668 124,834 62,417 187,252

More profiles

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