8248
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15480
- Proper Divisor Sum (Aliquot Sum)
- 7232
- 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
- 4120
- Möbius Function
- 0
- Radical
- 2062
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 39
- 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
- McKay-Thompson series of class 4C for the Monster group.at n=7A007248
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=21A015992
- a(n) = [ Sum{(sqrt(j+1)-sqrt(i+1))^2} ], 1 <= i < j <= n.at n=53A025222
- Expansion of 16/lambda(z) in powers of nome q = exp(Pi*i*z).at n=14A029845
- Sum of reciprocals of digits = 1.at n=41A037268
- Numbers whose base-4 representation contains exactly four 0's and no 1's.at n=32A045033
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=31A045059
- Composite n such that phi(n+4) = phi(n)+4.at n=46A056773
- Harmonic mean of digits is 4.at n=43A062182
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=20A065216
- Sums of (one or more distinct) k-perfect numbers.at n=35A083865
- Numbers n such that every digit occurs at least once in n^3.at n=29A119735
- Expansion of Fricke's 32*tau_4(z) in powers of q = exp(2*Pi*i*z).at n=14A124972
- Hardy-Littlewood approximation to the number of twin primes less than 10^n.at n=5A152051
- Number of binary strings of length n with equal numbers of 0011 and 1100 substrings.at n=14A164175
- Given M = triangle A122196 as an infinite lower triangular matrix, this sequence is lim_{k->infinity} M^k.at n=26A171238
- Let f(m) = number of steps needed to reach a Harshad number when the map k->A062028(l) is iterated starting at m; a(n) = smallest m such that f(m) = n.at n=91A181664
- Numbers k such that (2^k - k)*2^k - 1 is prime.at n=7A200818
- Number of (n+1) X (3+1) 0..2 arrays with the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=8A237632
- k such that either 2^k + k - 3 or 2^k + k - 2 is prime.at n=17A237816