7487
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7488
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 7486
- Möbius Function
- -1
- Radical
- 7487
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 70
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 948
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of paraffins.at n=31A005999
- Numerator of [x^(2n+1)] in the Taylor expansion arcsin(cosec(x) - cosech(x)) = x/3 + x^3/162 + 5*x^5/1134 + 19*x^7/76545 + 13793*x^9/218245104 + ...at n=5A013531
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=39A020403
- n written in fractional base 10/7.at n=47A024662
- Primes of the form k^2 + k + 5.at n=26A027755
- 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 85.at n=23A031583
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=31A045291
- Lesser of irregular twin primes.at n=23A060012
- Primes starting and ending with 7.at n=18A062334
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=31A064396
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (6,2).at n=39A073651
- a(n) = prime(n*(n+1)/2+2).at n=43A078722
- Primes p such that 13 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=14A080188
- Primes with digit sum = 26.at n=26A106764
- Primes p such that [p,p+2] is a pair of twin primes and (p*(p+2)-1)/2 is prime.at n=33A109945
- Numerator of Sum[ Prime[k]^2, {k,1,n}] / Product[ Prime[k], {k,1,n}] = Numerator[ A024450[n] / A002110[n] ].at n=43A122136
- Primes from A122136 corresponding to the indices A122138.at n=22A122139
- Table read by rows: rows give successive prime sextets of form k, k+30, k+60, k+90, k+120, k+150.at n=37A123085
- Prime numbers p such that p = prime(n+4)=(prime(n+8)+prime(n))/2.at n=35A126242
- Primes of the form 64n+63.at n=26A127579