λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,909,685

4,909,685

5 × 11 × 17 × 59 × 89
Deficient Odd Composite

4,909,685 factors as 5 × 11 × 17 × 59 × 89. Its 32 positive divisors give a proper-divisor sum of 2,088,715, so this integer is deficient. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 5 × 11 × 17 × 59 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,998,400
Proper Divisor Sum 2,088,715
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4909679 ← → #4909717

Radix Representation

Decimal 4909685
Binary 10010101110101001110101 (23 bits)
Octal 0o22565165
Hexadecimal 0x4AEA75

Divisor Catalog (32)

1 5 11 17 55 59 85 89 187 295 445 649 935 979 1,003 1,513 3,245 4,895 5,015 5,251 7,565 11,033 16,643 26,255 55,165 57,761 83,215 89,267 288,805 446,335 981,937 4,909,685

Collatz Trajectory (281 steps to reach 1)

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

4,909,685 14,729,056 7,364,528 3,682,264 1,841,132 920,566 460,283 1,380,850 690,425 2,071,276 1,035,638 517,819 1,553,458 776,729 2,330,188 1,165,094 582,547 1,747,642 873,821 2,621,464 1,310,732 655,366 327,683 983,050 491,525 1,474,576 737,288 368,644 184,322 92,161 276,484 138,242 69,121 207,364 103,682 51,841 155,524 77,762 38,881 116,644 58,322 29,161 87,484 43,742 21,871 65,614 32,807 98,422 49,211 147,634 73,817 221,452 110,726 55,363 166,090 83,045 249,136 124,568 62,284 31,142

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,909,684 Browse Full Index Next Integer #4,909,686 →