7422
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14856
- Proper Divisor Sum (Aliquot Sum)
- 7434
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2472
- Möbius Function
- -1
- Radical
- 7422
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 238
- 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
- Katadromes: digits in base 6 are in strict descending order.at n=58A023788
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 56.at n=37A031554
- Number of partitions of n into parts not of the form 19k, 19k+2 or 19k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 8 are greater than 1.at n=37A035971
- Number of distinct values produced from sums and products of n unity arguments.at n=26A048249
- McKay-Thompson series of class 20F for Monster.at n=20A058555
- Numbers which are the sum of their proper divisors containing the digit 7.at n=7A059466
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=33A063350
- Prime(n^2) +/- n are primes.at n=28A064495
- a(n) = 2*a(n-1) + a(n-2) + 1, a(0) = 1, a(1) = 2.at n=10A098790
- Numbers k such that the decimal digits of phi(k) are a permutation of those of k.at n=17A115921
- Maximum number of regions defined by n zigzag-lines in the plane when a zigzag-line is defined as consisting of two parallel infinite half-lines joined by a straight line segment.at n=41A117625
- Nonnegative integers n such that 2n^2 + 2n - 3 is square.at n=10A124124
- a(n) = Sum {j=1..n} j*A001462(j).at n=39A143125
- 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), (0, 0, -1), (0, 1, 0), (1, 0, 1)}.at n=8A149946
- Number of primes p < 10^n such that 4*p+1 is also prime.at n=5A182265
- G.f.: exp( Sum_{n>=1} A051064(n)*3^A051064(n)*x^n/n ) where A051064(n) equals the 3-adic valuation of 3n.at n=17A183038
- Dispersion of ([n*sqrt(2)+n+3/2]), where [ ]=floor, by antidiagonals.at n=56A191440
- Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..1 introduced in row major order.at n=12A204374
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,2,0,2,0,2 for x=0,1,2,3,4,5,6.at n=4A207151
- Number of tilings of a 9 X n rectangle using integer-sided rectangular tiles of area 9.at n=19A220126