14053
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 2075
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12144
- Möbius Function
- -1
- Radical
- 14053
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 58
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 14 (most significant digit on right).at n=10A061967
- Numbers k such that gcd(3k,8^k+1) = 3 but k does not divide the numerator of B(2k) (the Bernoulli numbers).at n=21A070193
- Denominator of Product_{ 2 <= p < 2*n } (2*n - p)/p.at n=23A084763
- a(n) = n*(n+7)*(n+8)/6.at n=39A111396
- Expansion of Product_{k>=1} (1 + x^k*A005185(k)).at n=25A147879
- Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n having k peak plateaux (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)).at n=41A166285
- Sum of distinct residues of all factorials mod prime(n).at n=46A210185
- A213784/12.at n=24A213789
- Number of second differences of arrays of length n + 2 of numbers in 0..3.at n=4A228213
- T(n,k)=Number of second differences of arrays of length n+2 of numbers in 0..k.at n=25A228218
- Number of second differences of arrays of length 7 of numbers in 0..n.at n=2A228222
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*b(n-2), where a(0) = 1, a(1) = 2, b(0) = 4, and (a(n)) and (b(n)) are increasing complementary sequences.at n=14A296285
- Numbers k such that all digits in k are different and for each digit d it is true that k = d (mod sum of digits(k) - d).at n=21A306788
- Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 7 or 8 king-move adjacent elements, with upper left element zero.at n=7A316514
- MM-numbers of labeled graphs with loops spanning an initial interval of positive integers.at n=24A320461
- MM-numbers of labeled multigraphs with loops spanning an initial interval of positive integers.at n=42A320462
- Products p*q*r of three distinct primes such that (p*q) mod r, (p*r) mod q and (q*r) mod p are all prime.at n=13A338704
- Numbers that are the sum of nine fourth powers in exactly nine ways.at n=30A345851
- a(n) = floor(a(n-1)*3/2) with a(1) = 5.at n=20A381677
- Consecutive states of the linear congruential pseudo-random number generator (625*s + 6571) mod 31104 when started at s=1.at n=12A385279