λ
Ratio Atlas
Atlas › Integer Profiles › Node 38,422,005

38,422,005

3 × 5 × 43 × 71 × 839
Deficient Odd Composite

38,422,005 factors as 3 × 5 × 43 × 71 × 839. Its 32 positive divisors give a proper-divisor sum of 25,444,875, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 71 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,866,880
Proper Divisor Sum 25,444,875
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #38421997 ← → #38422037

Radix Representation

Decimal 38422005
Binary 10010010100100010111110101 (26 bits)
Octal 0o222442765
Hexadecimal 0x24A45F5

Divisor Catalog (32)

1 3 5 15 43 71 129 213 215 355 645 839 1,065 2,517 3,053 4,195 9,159 12,585 15,265 36,077 45,795 59,569 108,231 178,707 180,385 297,845 541,155 893,535 2,561,467 7,684,401 12,807,335 38,422,005

Collatz Trajectory (103 steps to reach 1)

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

38,422,005 115,266,016 57,633,008 28,816,504 14,408,252 7,204,126 3,602,063 10,806,190 5,403,095 16,209,286 8,104,643 24,313,930 12,156,965 36,470,896 18,235,448 9,117,724 4,558,862 2,279,431 6,838,294 3,419,147 10,257,442 5,128,721 15,386,164 7,693,082 3,846,541 11,539,624 5,769,812 2,884,906 1,442,453 4,327,360 2,163,680 1,081,840 540,920 270,460 135,230 67,615 202,846 101,423 304,270 152,135 456,406 228,203 684,610 342,305 1,026,916 513,458 256,729 770,188 385,094 192,547 577,642 288,821 866,464 433,232 216,616 108,308 54,154 27,077 81,232 40,616

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #38,422,004 Browse Full Index Next Integer #38,422,006 →