14444
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 26544
- Proper Divisor Sum (Aliquot Sum)
- 12100
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6864
- Möbius Function
- 0
- Radical
- 7222
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 71
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- 9-gonal (or enneagonal) pyramidal numbers: a(n) = n*(n+1)*(7*n-4)/6.at n=23A007584
- Numbers k such that 207*2^k + 1 is prime.at n=44A032480
- Numbers whose maximal base-10 run length is 4.at n=21A033285
- Number of partitions of n into parts not of the form 23k, 23k+11 or 23k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=36A035999
- Numerators of continued fraction convergents to sqrt(366).at n=6A041692
- Numbers having four 4's in base 10.at n=1A043508
- Replace each 1 in decimal expansion of n with 1 1's, each 2 with 2 2's, etc. (0 vanishes).at n=13A048376
- Add column entries of the table with rows (1,2,0,0...), (0,3,4,5,0,0...), (0,0,6,7,8,9,0,0...), (0,0,0,10,11,12,13,14,0,0...), ...at n=44A064694
- a(n) is the number of terms in the expansion of (x+y-z)*(x^2+y^2-z^2)*(x^3+y^3-z^3)*...*(x^n+y^n-z^n).at n=17A086817
- Numbers n with digits in nondecreasing order such that sum of the reciprocal of digits is an integer.at n=29A091784
- Expansion of (1+x)^2/((1-x)*(1-10*x^2)).at n=8A094627
- Expansion of (1+3x)/((1-x)(1-10x)).at n=4A099914
- Self-describing integers with the rule: if the digit d, part of the integer i, is odd then there are d odd digits in this integer; if the digit d is even there are d even digits.at n=7A105776
- Least even pseudoprime > p to base p, where p = prime(n).at n=39A108162
- Any digit d in the sequence says: "I am part of an integer in which you'll find d digits d".at n=11A108571
- Expansion of 1/(1-x-x^2+x^3-x^4).at n=24A124280
- Row sums of triangle A134285, called s2(3)'.at n=7A134826
- Numbers such that each decimal digit d (for all d in the range 1 <= d <= 9) occurs only in runs of length exactly d.at n=10A140057
- Smallest number with n nonprime substrings (Version 2: substrings with leading zeros are counted as nonprime if the corresponding number is > 0).at n=15A213303
- Smallest number with n nonprime substrings (Version 3: substrings with leading zeros are counted as nonprime if the corresponding number is not a prime).at n=15A213304