7761
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11200
- Proper Divisor Sum (Aliquot Sum)
- 3439
- 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
- 4752
- Möbius Function
- -1
- Radical
- 7761
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 145
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=39A004946
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11).at n=42A017842
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RUT = RUB-10 R4[B4Si32O72] starting from a T2 atom.at n=12A019233
- a(n) = n*(23*n - 1)/2.at n=26A022280
- Convolution of odd numbers and primes.at n=19A023662
- 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 58.at n=29A031556
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+3 or 20k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=51A036025
- "Sloping binary representation" of Fibonacci numbers, slope = +1.at n=7A037093
- Numbers n such that n and its reversal are both multiples of 13.at n=36A062903
- Non-palindromic number and its reversal are both multiples of 13.at n=22A062912
- Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.at n=40A063052
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=30A063352
- Smallest of n consecutive numbers in A.P. with a common difference of n with a sum that is an n-th power.at n=5A073848
- a(n) = (15*n^2 + 5*n + 2)/2.at n=31A093500
- Number of partitions of n into parts relatively prime to 63 and not == 2 (mod 4).at n=49A119952
- Triangular array from Steinbach matrices plus their squares as characteristic polynomials: M[i,j]=A[i,j]+A[i,j]^2: A[i,j]^2=Min[i,j]; CharacteristicPolynomial[M[i,j]];.at n=72A122073
- Number of base 13 n-digit numbers with adjacent digits differing by one or less.at n=7A126367
- a(n) = (n+1)^n - n!!.at n=5A127688
- a(n) = 10*binomial(n,2) + 9*n.at n=39A135705
- Number of n X 4 binary arrays with every 1 having exactly two king-move neighbors equal to 1.at n=7A183445