7699
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7700
- 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
- 7698
- Möbius Function
- -1
- Radical
- 7699
- 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
- 132
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 977
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes equal to the sum of the first k primes for some k.at n=6A013918
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=15A015992
- Number of binary sequences of length n with an even number of ones, at least two of the ones being contiguous.at n=13A027711
- 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 87.at n=14A031585
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=17A031822
- Numbers k such that 135*2^k+1 is prime.at n=41A032417
- Denominators of continued fraction convergents to sqrt(860).at n=4A042661
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=35A045291
- Primes of the form 2*n^2 + 11.at n=33A050265
- Prime number spiral (clockwise, North spoke).at n=16A054551
- a(n) = T(n,n-3), array T as in A055818.at n=32A055820
- Numbers k such that 11^k - 10^k is prime.at n=7A062577
- Numbers k such that 84^k - 83^k is prime.at n=3A062650
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=14A065216
- Smallest prime which is the sum of n consecutive primes, or 0 if no such prime exists.at n=59A070281
- a(n) = the sum of the prime factors of Sum_{i=1..n} prime(i).at n=59A075881
- Greatest prime divisor of sum of first n primes.at n=59A076570
- a(n) is the fixed point if function A008472 is iterated when started at initial value prime[n]!.at n=59A082088
- Numbers n which are prime and which when each digit is incremented by 2 with carries ignored yields another prime p with the same property.at n=41A088786
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=27A094454