1526
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2640
- Proper Divisor Sum (Aliquot Sum)
- 1114
- 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
- 648
- Möbius Function
- -1
- Radical
- 1526
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 153
- 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
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=26A000702
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=36A003219
- Numbers that are the sum of 7 positive 6th powers.at n=16A003363
- a(n) = n^2 + prime(n).at n=36A004232
- a(0) = 7, a(1) = 9; for n >= 0, a(2n+1) = a(2n-1)^2 - a(2n-2), a(2n+2) = a(2n)^2 - a(2n+1).at n=4A007449
- Coordination sequence T3 for Zeolite Code AET.at n=27A008009
- Coordination sequence T5 for Zeolite Code AET.at n=27A008011
- Coordination sequence T10 for Zeolite Code EUO.at n=24A008096
- Expansion of e.g.f. cos(x*exp(x)).at n=7A009017
- If a, b in sequence, so is ab+10.at n=14A009368
- Coordination sequence T1 for Zeolite Code DFO.at n=30A009875
- Coordination sequence T2 for Zeolite Code RTH.at n=27A009894
- Coordination sequence for Cr3Si, Si position.at n=10A009927
- Numbers k such that phi(k) + 12 | sigma(k).at n=42A015805
- Place where n-th 1 occurs in A023122.at n=49A022784
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-10).at n=17A023440
- a(n) = position of 3*(n^2) in A000408.at n=24A024800
- [ Sum{(log(j)-log(i))^2} ], 2 <= i < j <= n.at n=48A025206
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=18A027575
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 8 (most significant digit on left).at n=54A029453