λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,190,920

31,190,920

23 × 5 × 17 × 45869
Abundant Even Composite

31,190,920 factors as 2^3 × 5 × 17 × 45869. Its 32 positive divisors give a proper-divisor sum of 43,118,480, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 45869
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,309,400
Proper Divisor Sum 43,118,480
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #31190917 ← → #31190933

Radix Representation

Decimal 31190920
Binary 1110110111110111110001000 (25 bits)
Octal 0o166767610
Hexadecimal 0x1DBEF88

Divisor Catalog (32)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 45,869 91,738 183,476 229,345 366,952 458,690 779,773 917,380 1,559,546 1,834,760 3,119,092 3,898,865 6,238,184 7,797,730 15,595,460 31,190,920

Collatz Trajectory (219 steps to reach 1)

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

31,190,920 15,595,460 7,797,730 3,898,865 11,696,596 5,848,298 2,924,149 8,772,448 4,386,224 2,193,112 1,096,556 548,278 274,139 822,418 411,209 1,233,628 616,814 308,407 925,222 462,611 1,387,834 693,917 2,081,752 1,040,876 520,438 260,219 780,658 390,329 1,170,988 585,494 292,747 878,242 439,121 1,317,364 658,682 329,341 988,024 494,012 247,006 123,503 370,510 185,255 555,766 277,883 833,650 416,825 1,250,476 625,238 312,619 937,858 468,929 1,406,788 703,394 351,697 1,055,092 527,546 263,773 791,320 395,660 197,830

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #31,190,919 Browse Full Index Next Integer #31,190,921 →