7152
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
- 20
- Divisor Sum
- 18600
- Proper Divisor Sum (Aliquot Sum)
- 11448
- 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
- 2368
- Möbius Function
- 0
- Radical
- 894
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 101
- 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
- [ exp(7/20)*n! ].at n=6A030857
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+7 or 20k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=46A036027
- Numerators of continued fraction convergents to sqrt(621).at n=4A042192
- a(n)=(s(n)+3)/10, where s(n)=n-th base 10 palindrome that starts with 7.at n=37A043086
- Expansion of (1-x)/(1-2*x-2*x^3+2*x^4).at n=12A052971
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=30A063366
- Numbers k such that sigma(k) is a harmonic number.at n=31A074245
- Integers that occur more than once as the difference of the squares of two consecutive primes.at n=30A078667
- Numbers that can be expressed as the difference of the squares of consecutive primes in just two distinct ways.at n=27A090784
- 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, 0, 0), (0, -1, 1), (1, -1, 1), (1, 0, 1), (1, 1, -1)}.at n=8A148996
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (0, 1), (1, -1)}.at n=13A151378
- a(n) = 512*n - 16.at n=13A157447
- Consecutive Waterman having identical vfe counts yet different hulls.at n=45A159033
- a(n) = A161330(n)*3.at n=46A161333
- Numbers n with property that the sum of the digits of n is substring of n and of n^2.at n=40A162015
- Number of unlock patterns of length n for the Android operating system.at n=5A163889
- Triangle T(n,k), read by rows n>=0 with terms k=1..3^n, where row n lists the coefficients in the n-th iteration of (x+x^2+x^3).at n=27A166880
- Number of lower triangles of a 4 X 4 0..n array with each element differing from all of its horizontal and vertical neighbors by one.at n=34A195000
- a(n) = 2^n mod 10000.at n=21A216095
- Number of nX2 0..3 arrays with exactly floor(nX2/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order.at n=4A222829