λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,518,272

17,518,272

26 × 3 × 23 × 3967
Abundant Even Composite

17,518,272 factors as 2^6 × 3 × 23 × 3967. Its 56 positive divisors give a proper-divisor sum of 30,859,584, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 23 × 3967
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 48,377,856
Proper Divisor Sum 30,859,584
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17518261 ← → #17518273

Radix Representation

Decimal 17518272
Binary 1000010110100111011000000 (25 bits)
Octal 0o102647300
Hexadecimal 0x10B4EC0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1,104 1,472 2,208 3,967 4,416 7,934 11,901 15,868 23,802 31,736 47,604 63,472 91,241 95,208 126,944 182,482 190,416 253,888 273,723 364,964 380,832 547,446 729,928 761,664 1,094,892 1,459,856 2,189,784 2,919,712 4,379,568 5,839,424 8,759,136 17,518,272

Collatz Trajectory (63 steps to reach 1)

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

17,518,272 8,759,136 4,379,568 2,189,784 1,094,892 547,446 273,723 821,170 410,585 1,231,756 615,878 307,939 923,818 461,909 1,385,728 692,864 346,432 173,216 86,608 43,304 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,518,271 Browse Full Index Next Integer #17,518,273 →