5965
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7164
- Proper Divisor Sum (Aliquot Sum)
- 1199
- 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
- 4768
- Möbius Function
- 1
- Radical
- 5965
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 93
- Smith Number
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 65.at n=4A020404
- Expansion of g.f. 1/((1-6*x)*(1-9*x)*(1-10*x)).at n=3A020595
- Lucky numbers that are decimal concatenations of n with n + 6.at n=8A032656
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 4 (mod 5).at n=49A035576
- Numerators of continued fraction convergents to sqrt(435).at n=4A041828
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 4).at n=57A046766
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 21.at n=10A051986
- Partial sums of A001157: Sum_{j=1..n} sigma_2(j).at n=23A064602
- Composite n such that the sums of the composite numbers up to n, +/- 1, are twin primes.at n=36A065022
- a(n) = n^2 * Sum_{primes p dividing n} (1 + 1/p^2).at n=41A065969
- Numbers n such that r(k) * 2^n + 1 is prime, where r() = A002275 the repunits and k is the number of decimal digits of 2^n.at n=14A095306
- Numbers n such that the numbers of divisors of n,n+1 and n+2 are k,2k,4k respectively for some k.at n=39A100363
- Numbers k such that k + sigma(k) + sigma(sigma(k)) is a square.at n=21A116014
- Quadruple lucky numbers (lower terms). Numbers n such that n, n+2, n+6, n+8 are all Lucky numbers.at n=11A139783
- Number of n X 2 1..4 arrays with all 1's connected, all 2's connected, all 3's connected, all 4's connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=38A164754
- Numbers n such that 5^n-6 is prime.at n=21A165701
- Number of ways to place 4 nonattacking bishops on a 4 X n board.at n=6A172208
- Triangular array: T(n,k) counts upper triangular matrices with entries from {0,1} having n 1's in total, with k 1's on the main diagonal and at least one nonzero entry in each row.at n=32A182319
- Number of nondecreasing sequences of n 1..5 integers with no element dividing the sequence sum.at n=47A212865
- "Complement" of Pol's E-toothpick sequence after n iterations.at n=56A220745