λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,397,563

21,397,563

32 × 11 × 292 × 257
Deficient Odd Composite

21,397,563 factors as 3^2 × 11 × 29^2 × 257. Its 36 positive divisors give a proper-divisor sum of 13,658,445, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 29^2 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 35,056,008
Proper Divisor Sum 13,658,445
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #21397559 ← → #21397573

Radix Representation

Decimal 21397563
Binary 1010001101000000000111011 (25 bits)
Octal 0o121500073
Hexadecimal 0x146803B

Divisor Catalog (36)

1 3 9 11 29 33 87 99 257 261 319 771 841 957 2,313 2,523 2,827 2,871 7,453 7,569 8,481 9,251 22,359 25,443 27,753 67,077 81,983 83,259 216,137 245,949 648,411 737,847 1,945,233 2,377,507 7,132,521 21,397,563

Collatz Trajectory (120 steps to reach 1)

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

21,397,563 64,192,690 32,096,345 96,289,036 48,144,518 24,072,259 72,216,778 36,108,389 108,325,168 54,162,584 27,081,292 13,540,646 6,770,323 20,310,970 10,155,485 30,466,456 15,233,228 7,616,614 3,808,307 11,424,922 5,712,461 17,137,384 8,568,692 4,284,346 2,142,173 6,426,520 3,213,260 1,606,630 803,315 2,409,946 1,204,973 3,614,920 1,807,460 903,730 451,865 1,355,596 677,798 338,899 1,016,698 508,349 1,525,048 762,524 381,262 190,631 571,894 285,947 857,842 428,921 1,286,764 643,382 321,691 965,074 482,537 1,447,612 723,806 361,903 1,085,710 542,855 1,628,566 814,283

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #21,397,562 Browse Full Index Next Integer #21,397,564 →