7151
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7152
- 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
- 7150
- Möbius Function
- -1
- Radical
- 7151
- 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
- 101
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 915
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=36A007700
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=11A020435
- Primes that remain prime through 3 iterations of function f(x) = 5x + 4.at n=17A023284
- a(n) = 6^n - n^4.at n=5A024066
- Primes that are palindromic in base 6.at n=25A029974
- 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 83.at n=26A031581
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=35A031808
- Numbers k such that 251*2^k+1 is prime.at n=10A032502
- Multiplicity of highest weight (or singular) vectors associated with character chi_104 of Monster module.at n=38A034492
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5) < cn(1,5).at n=56A036847
- Positive numbers having the same set of digits in base 8 and base 10.at n=33A037442
- Sums of 11 distinct powers of 2.at n=28A038462
- Base-6 palindromes that start with 5.at n=32A043014
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=17A045147
- Primes with first digit 7.at n=32A045713
- Row sums of triangle A046521.at n=6A046748
- Primes of the form k^2 + k + 11.at n=43A048059
- Run through primes p; if the digits of p*q (where q is the prime following p) can be rearranged to form one or more primes r, append these primes r to the sequence.at n=11A053736
- Smallest prime p having n different cycles in decimal expansions of k/p, k=1..p-1.at n=25A054471
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=18A059762