7038
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16848
- Proper Divisor Sum (Aliquot Sum)
- 9810
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2112
- Möbius Function
- 0
- Radical
- 2346
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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
- Number of loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=31A006416
- Continued fraction for cube root of 51.at n=33A010280
- Numbers m such that m^2 ends in 444.at n=28A039685
- Number of 4 X 4 symmetric stochastic matrices under row and column permutations.at n=17A052281
- Even numbers not the sum of a pair of twin lucky numbers.at n=62A057702
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=27A063358
- Number of integer partitions of n with a part dividing all the other parts.at n=32A083710
- a(n) = A083710(n) - A000041(n-1).at n=63A083711
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1.at n=40A113746
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 11 multiples of n-1, n-2, ..., 1, for n>=1.at n=36A113748
- Start with 1 and repeatedly reverse the digits and add 35 to get the next term.at n=28A118632
- Nonascending wiggly sums: number of sums adding to n in which terms alternately do not increase and do not decrease.at n=17A129853
- Numbers k that divide Sum_{i=1..k} phi(i)^2, where phi(i) = totient function A000010.at n=9A144857
- 9 times pentagonal numbers: 9*n*(3*n-1)/2.at n=23A152996
- Numbers with distinct digits appearing in partition of decimal expansion of square root of 2. (A002193).at n=22A167834
- Riordan array (A000045(x)^m,x*A000108(x)), m=3.at n=80A185664
- Three times second hexagonal numbers: 3*n*(2*n+1).at n=34A195319
- a(n) = n*(11*n-5)/2.at n=36A226492
- Integer areas of incentral triangles of integer-sided triangles.at n=21A227879
- Number of (n+1)X(1+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing.at n=34A232790