1180
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2520
- Proper Divisor Sum (Aliquot Sum)
- 1340
- 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
- 464
- Möbius Function
- 0
- Radical
- 590
- Omega Function (Ω)
- 4
- 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
- 57
- 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
- Number of partitions into non-integral powers.at n=9A000339
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=39A001859
- Number of polygonal graphs.at n=25A002560
- Numbers that are the sum of 11 positive 6th powers.at n=19A003367
- Sequence and first differences (A030124) together list all positive numbers exactly once.at n=43A005228
- Coordination sequence T1 for Moganite.at n=22A008258
- Molien series of 5 X 5 upper triangular matrices over GF( 2 ).at n=58A008644
- Molien series of 5 X 5 upper triangular matrices over GF( 2 ).at n=59A008644
- Coordination sequence T1 for Zeolite Code ZON.at n=24A009919
- a(n) = floor(n*(n-1)*(n-2)/9).at n=23A011891
- Expansion of x/(1 - 10*x - 9*x^2).at n=4A015591
- Population of "Triangle" cellular automaton at n-th generation.at n=20A018189
- Expansion of Product_{m>=1} (1+m*q^m)^(-10).at n=6A022702
- a(n) = a(n-1) + c(n+1) for n >= 3, a( ) increasing, given a(1)=1, a(2)=7; where c( ) is complement of a( ).at n=42A022953
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023531, t = (1, p(1), p(2), ... ).at n=56A024320
- a(n) = Sum_{j=1..floor((n+1)/2)} A023531(j)*prime(n-j+1).at n=55A024328
- a(n) = t mod s(n,n-1), where t = max{s(n,k): k=1,2,...,n}, s(n,k) = Stirling numbers of the second kind.at n=58A024418
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023531, t = (primes).at n=54A024891
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).at n=13A025119
- Index of 8^n within the sequence of the numbers of the form 7^i*8^j.at n=46A025731