14378
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 12502
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5616
- Möbius Function
- 1
- Radical
- 14378
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- yes
- Odd
- no
Appears in sequences
- Number of 3 X n binary matrices up to row and column permutations.at n=13A002727
- a(n) = T(2n,n-1), where T is the array defined in A025177.at n=6A025187
- Larger members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=32A054572
- Coefficients of replicable function number 12c.at n=27A058491
- f-amicable numbers where f(n) = n-1.at n=7A066511
- Partial sums of A005587. Fourth column of triangle A115127.at n=12A115129
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (1, 0, 0), (1, 1, -1), (1, 1, 1)}.at n=7A150828
- McKay-Thompson series of class 12c for the Monster group with a(0) = -4.at n=54A186930
- McKay-Thompson series of class 12c for the Monster group with a(0) = 4.at n=54A187045
- G.f.: q-cosh(x) evaluated at q=-x.at n=44A198201
- Sum_{0<j<k<=n} s(k)-s(j), where s(j)=A002620(j) is the j-th quarter-square.at n=22A206806
- Principal diagonal of the convolution array A213548.at n=12A213549
- Antidiagonal sums of the convolution array A213841.at n=11A213843
- Number of partitions of n such that the number of even parts is a part.at n=39A240573
- Numbers m such that the GCD of the x's that satisfy sigma(x) = m is 4.at n=14A241649
- Expansion of (1 + 2*x + 2*x^2) / (1 - x)^6.at n=11A244882
- Numbers k such that card({x|sigma(x)=k}) > 1 and (Sum_{sigma(x)=k} x) < k.at n=14A258931
- a(n) = n*(n + 1)*(n + 2)*(7*n - 5)/12.at n=12A264850
- Numbers n such that (2^n + 1) / gcd(n, 2^n + 1) is not squarefree.at n=39A272361
- Number of integer-sided hexagons having perimeter n, modulo rotations but not reflections.at n=23A293823