7949
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7950
- 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
- 7948
- Möbius Function
- -1
- Radical
- 7949
- 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
- 96
- 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
- 1004
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) is the solution to the postage stamp problem with n denominations and 5 stamps.at n=17A001215
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=42A020356
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=44A023263
- Primes that remain prime through 3 iterations of function f(x) = 8x + 7.at n=5A023294
- Primes that remain prime through 4 iterations of function f(x) = 8x + 7.at n=0A023322
- Prime numbers that are the sum of the first k lucky numbers, A046279(k), for some k.at n=6A046281
- Lower members of a "good pair" of the form (k, 2*k +- 1).at n=44A046861
- Primes of the form 2*n^2 + 11.at n=34A050265
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23.at n=14A051964
- Primes p with property that p concatenated with its emirp p' (prime reversal) forms a palindromic prime of the form 'primemirp' (rightmost digit of p and leftmost digit of p' are blended together - p and p' palindromic allowed).at n=41A054217
- Number of rooted trees with n nodes and 7 leaves.at n=6A055282
- Lesser of irregular twin primes.at n=24A060012
- a(n) is the unique positive integer m which has a self-conjugate partition whose parts are the first n primes.at n=34A067773
- Emirps which when concatenated with their reversals after a 0 make a palindromic prime of the form emirp0prime.at n=33A070954
- Least m such that A078142(m) gives the n-th prime, where A078142(n) is the sum of the differences of the distinct prime factors p of n and the next square larger than p.at n=35A073939
- Primes p such that floor(p^Pi) is prime.at n=43A079594
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=4, I={3}.at n=15A079975
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=23A089634
- Primes which are also prime if their base 19 representation is interpreted as a base 10 number.at n=45A090714
- Lesser of the smallest twin prime pair on or after the 10^n-th prime.at n=3A092251