7335
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12792
- Proper Divisor Sum (Aliquot Sum)
- 5457
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3888
- Möbius Function
- 0
- Radical
- 2445
- 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
- 75
- 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
- no
- Odd
- yes
Appears in sequences
- Sum of 10 nonzero 8th powers.at n=14A003388
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=35A020443
- Expansion of 1/((1-8*x)*(1-9*x)*(1-10*x)).at n=3A020976
- Expansion of 1/((1-2x)(1-4x)(1-10x)(1-11x)).at n=3A025983
- Numbers k such that 195*2^k-1 is prime.at n=48A050849
- a(n) = T(n,n-4), array T as in A055801.at n=40A055804
- McKay-Thompson series of class 42a for Monster.at n=46A058675
- Engel expansion of gamma^2, (gamma is the Euler-Mascheroni constant A001620) = 0.333178.at n=15A059190
- Numbers k for which phi(k) + anti-phi(k) = k.at n=26A066418
- a(1) = 1; a(n+1) is the smallest integer > 0 that cannot be obtained from the integers {a(1), ..., a(n)} using each number at most once and the operators +, -, *, /, where intermediate subexpressions must be integers.at n=7A071115
- Least number m such that the number of numbers k <= m with k > spf(k)^n exceeds the number of numbers with k <= spf(k)^n.at n=7A087719
- Total number of smallest parts in all compositions of n.at n=11A097941
- Triangle, read by rows, of the coefficients of [x^k] in G100234(x)^n such that the row sums are 6^n-1 for n>0, where G100234(x) is the g.f. of A100234.at n=25A100235
- Least multiple of prime(n) containing only prime digits (2,3,5,7).at n=37A113590
- Numbers k such that T(k) + T(k+1) + ... + T(k+10) is a square, where T(m) = A000217(m) is the m-th triangular number.at n=4A116476
- a(n) = n*(n^2 + 3*n + 5)/3.at n=27A145069
- Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 4 X 4 X 4 subtriangle summing to 9.at n=5A154073
- Row sums of triangle A171843.at n=9A171844
- G.f.: exp( Sum_{n>=1} 3^b(n) * x^n/n ) where b(n) = highest exponent of 3 in 2^n+1.at n=49A182185
- Number of n X n symmetric 0..2 arrays with each element equal to at least one horizontal or vertical neighbor and any new values 0..2 introduced in lower triangular row major order.at n=4A192639