522,172

2² × 7 × 17 × 1097

522,172 factors as 2^2 × 7 × 17 × 1097. Its 24 positive divisors give a proper-divisor sum of 584,612, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 1097

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,106,784

Proper Divisor Sum 584,612

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #522167 ← → #522191

Radix Representation

Decimal	522172
Binary	1111111011110111100 (19 bits)
Octal	0o1773674
Hexadecimal	0x7F7BC

Divisor Catalog (24)

Collatz Trajectory (107 steps to reach 1)

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

522,172 261,086 130,543 391,630 195,815 587,446 293,723 881,170 440,585 1,321,756 660,878 330,439 991,318 495,659 1,486,978 743,489 2,230,468 1,115,234 557,617 1,672,852 836,426 418,213 1,254,640 627,320 313,660 156,830 78,415 235,246 117,623 352,870 176,435 529,306 264,653 793,960 396,980 198,490 99,245 297,736 148,868 74,434 37,217 111,652 55,826 27,913 83,740 41,870 20,935 62,806 31,403 94,210 47,105 141,316 70,658 35,329 105,988 52,994 26,497 79,492 39,746 19,873

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #522,171 Browse Full Index Next Integer #522,173 →