λ
Integer Codex

4,836,692

22 × 72 × 24677
Abundant Even Composite

For 4,836,692, the 18 positive divisors have a total of 9,846,522. Removing 4,836,692 leaves 5,009,830, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 24677
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 9,846,522
Proper Divisor Sum 5,009,830
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4836679 ← → #4836701

Radix Representation

Decimal 4836692
Binary 10010011100110101010100 (23 bits)
Octal 0o22346524
Hexadecimal 0x49CD54

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 24,677 49,354 98,708 172,739 345,478 690,956 1,209,173 2,418,346 4,836,692

Collatz Trajectory (69 steps to reach 1)

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

4,836,692 2,418,346 1,209,173 3,627,520 1,813,760 906,880 453,440 226,720 113,360 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26

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