11152
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 23436
- Proper Divisor Sum (Aliquot Sum)
- 12284
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5120
- Möbius Function
- 0
- Radical
- 1394
- 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
- 130
- 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
- Positive numbers for which the sum of digits equals the product of digits.at n=30A034710
- Product of the digits of n divides the sum of the digits of n.at n=45A055931
- Table by antidiagonals of rows of sequences where each row is binomial transform of preceding row and row 1 is (1,2,1,2,1,2,1,2,...).at n=72A061298
- Tenth column (k=9) of septinomial array A063265.at n=6A063418
- Integers m such that (x1*x2*..xk)^(x1+x2+..xk) = (x1+x2+..xk)^(x1*x2*..xk) where x1x2..xk are the digits of m in base 10.at n=33A064158
- Nonprimes whose sum of digits is equal to its product of digits.at n=23A066307
- Number of divisors of n equals the average of distinct prime factors of n.at n=37A067547
- Triangle, read by rows, such that the diagonal (A084785) is the self-convolution of the first column (A084784) and the row sums (A084786) gives the differences of the diagonal and the first column.at n=31A084783
- Binomial transform of (Pell(-n)+Pell(n))/2.at n=9A094038
- Number of triangles in an n X n grid of squares with diagonals.at n=15A100583
- a(0),...,a(3) = 1, 2, 4, 8; thereafter a(n) = a(n-1) + 2*a(n-2) + 4*a(n-3) + 8*a(n-4), n>3.at n=10A102000
- Number of ways to place n+1 queens and a pawn on an n X n board so that no two queens attack each other.at n=10A103330
- Group the triangular numbers so that the n-th group sum is a multiple of n. 1, (3, 6, 10, 15), (21), (28), (36, 45, 55, 66, 78), (91, 105, 120, 136, 153, 171, 190), ... Sequence contains n-th group sum divided by n.at n=22A114032
- a(n) = (3*n+1)*(5*n+1).at n=27A144459
- Numbers k such that 120*k + 1 is a term in A163573.at n=39A163625
- Number of 4-step self-avoiding walks on an n X n square summed over all starting positions.at n=18A188149
- Number of two-sided n-step prudent walks ending on the top side or the right side of their boxes, avoiding two consecutive west steps and south steps.at n=10A190795
- Numbers with digital product = 10.at n=21A199990
- Composite numbers whose product of digits is 10.at n=19A201057
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^3<=x^3+y^3.at n=26A211807