9704
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18210
- Proper Divisor Sum (Aliquot Sum)
- 8506
- 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
- 4848
- Möbius Function
- 0
- Radical
- 2426
- 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
- 47
- 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
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=21A010012
- tanh(log(cos(x)))=-1/2!*x^2-2/4!*x^4+14/6!*x^6+568/8!*x^8...at n=4A012005
- 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 49.at n=21A031547
- Sort then Add, a(1)=29.at n=12A033904
- Numbers k such that sigma(k) - k = k - pi(k) - 1 where pi(k) is A000720.at n=10A048884
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=42A054275
- Numbers k that, when expressed in base 4 and then interpreted in base 8, give a multiple of k.at n=44A062923
- Sum of first n 5-almost primes.at n=34A086047
- Sum of squares of terms in rows of triangle A104967.at n=13A104969
- Numbers NM associated with A107677.at n=2A107678
- 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, 0), (-1, 0, -1), (-1, 1, 1), (0, 0, 1), (1, 0, -1)}.at n=10A148182
- 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), (1, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=8A149445
- Number of binary strings of length n with no substrings equal to 0000 0011 or 0101.at n=16A164426
- Number of line segments connecting exactly 9 points in an n x n grid of points.at n=36A177725
- Numbers of espalier polycubes of a given volume in dimension 5.at n=20A229925
- a(n) = A255302(2^n - 1).at n=7A255303
- a(n) = ( 2*n*(2*n^2 + 11*n + 26) - (-1)^n + 1 )/16.at n=32A256666
- 5-untouchable numbers.at n=20A284187
- Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step patterns 010 or 101, where 1=up and 0=down; triangle T(n,k), n >= 0, k = max(0, n-3), read by rows.at n=19A295987
- Largest number k such that exactly half the numbers in [1..k] are prime(n)-smooth.at n=41A308904