λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,746,944

4,746,944

26 × 17 × 4363
Abundant Even Composite

4,746,944 factors as 2^6 × 17 × 4363. Its 28 positive divisors give a proper-divisor sum of 5,229,160, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 4363
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 9,976,104
Proper Divisor Sum 5,229,160
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4746919 ← → #4746983

Radix Representation

Decimal 4746944
Binary 10010000110111011000000 (23 bits)
Octal 0o22067300
Hexadecimal 0x486EC0

Divisor Catalog (28)

1 2 4 8 16 17 32 34 64 68 136 272 544 1,088 4,363 8,726 17,452 34,904 69,808 74,171 139,616 148,342 279,232 296,684 593,368 1,186,736 2,373,472 4,746,944

Collatz Trajectory (100 steps to reach 1)

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

4,746,944 2,373,472 1,186,736 593,368 296,684 148,342 74,171 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,746,943 Browse Full Index Next Integer #4,746,945 →