7762
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
- 4
- Divisor Sum
- 11646
- Proper Divisor Sum (Aliquot Sum)
- 3884
- 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
- 3880
- Möbius Function
- 1
- Radical
- 7762
- Omega Function (Ω)
- 2
- 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
- 145
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=41A020356
- Expansion of 1/((1-3*x)*(1-6*x)*(1-7*x)*(1-12*x)).at n=3A028078
- Inverse Moebius transform of A000031 (starting at term 0).at n=17A054058
- Numbers k such that k! - prime(k) is prime.at n=32A064401
- Octo numbers (a polygonal sequence): a(n) = 5*n^2 - 6*n + 2 = (n-1)^2 + (2*n-1)^2.at n=39A079273
- Main diagonal of array A082224.at n=44A082227
- Sum of largest parts (counted with multiplicity) of all partitions of n into odd parts.at n=33A092310
- a(n) = smallest k such that A114266(k) = n.at n=40A114267
- Number of lines through at least 2 points of a 4 X n grid of points.at n=46A160844
- Diagonal sums of generalized Narayana triangle A180957.at n=17A180958
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..1 array extended with zeros and convolved with 1,1,1.at n=21A222431
- Irregular triangle T(n,k) read by rows: T(n,k) is the number of compositions of n with k descents, n>=0, 0<=k<=floor(n/3).at n=61A238344
- Number of compositions of n with exactly four descents.at n=5A241629
- Expansion of 2*(1-x)*(2*x^2+4*x+1) / (1-x-x^2)^2.at n=12A271786
- Number of totally aperiodic integer partitions of n.at n=31A319811