38,420,000

2⁵ × 5⁴ × 17 × 113

38,420,000 factors as 2^5 × 5^4 × 17 × 113. Its 120 positive divisors give a proper-divisor sum of 62,544,556, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^5 × 5^4 × 17 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 100,964,556

Proper Divisor Sum 62,544,556

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #38419999 ← → #38420003

Radix Representation

Decimal	38420000
Binary	10010010100011111000100000 (26 bits)
Octal	0o222437040
Hexadecimal	0x24A3E20

Divisor Catalog (60 of 120)

1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 113 125 136 160 170 200 226 250 272 340 400 425 452 500 544 565 625 680 800 850 904 1,000 1,130 1,250 1,360 1,700 1,808 1,921 2,000 2,125 2,260 2,500 2,720 2,825 3,400 3,616 3,842 4,000 4,250 4,520 5,000 5,650

Collatz Trajectory (240 steps to reach 1)

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

38,420,000 19,210,000 9,605,000 4,802,500 2,401,250 1,200,625 3,601,876 1,800,938 900,469 2,701,408 1,350,704 675,352 337,676 168,838 84,419 253,258 126,629 379,888 189,944 94,972 47,486 23,743 71,230 35,615 106,846 53,423 160,270 80,135 240,406 120,203 360,610 180,305 540,916 270,458 135,229 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #38,419,999 Browse Full Index Next Integer #38,420,001 →