7756
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
- 12
- Divisor Sum
- 15568
- Proper Divisor Sum (Aliquot Sum)
- 7812
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3312
- Möbius Function
- 0
- Radical
- 3878
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- Representation degeneracies for Ramond strings.at n=19A005303
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=33A005892
- Series for second parallel moment of square lattice (eventually changes sign).at n=8A006733
- Sum along upward diagonal of Pascal triangle to halfway point.at n=21A010754
- Even heptagonal numbers (A000566).at n=28A014640
- a(n) = T(2n,n-1), where T is the array defined in A026082.at n=6A026092
- T(n,0) + T(n,1) + ... + T(n,n), T given by A026659.at n=12A026666
- Cube root of A030697.at n=35A030698
- T(n,n-5), array T as in A038738.at n=5A038742
- a(n) = T(2n,n), array T as in A038738.at n=5A038744
- T(n,n-5), array T as in A038792.at n=16A038795
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=21A045614
- Numbers n such that 177*2^n-1 is prime.at n=21A050840
- Self-convolution of A073711.at n=37A073712
- Number of transitions necessary for a Turing machine to compute the differences between consecutive primes (primes written in unary), when using the instruction table below.at n=17A078612
- Triangle (read by rows) in which the number of entries in a row only increases by 1 every other row, the first column and the 'diagonal' is set to all 1's and a(i,j) = a(i-1,j) + a(i-1,j-1) + a(i-2,j-1) + a(i-3,j-1) for other entries.at n=53A096966
- Partial sums of A107947.at n=42A107957
- Integers i such that 16*i XOR 17*i = 33*i.at n=44A115833
- Heptagonal numbers for which the digital root is also a heptagonal number.at n=26A117663
- Heptagonal numbers divisible by 7.at n=16A117795