7117
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7776
- Proper Divisor Sum (Aliquot Sum)
- 659
- 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
- 6460
- Möbius Function
- 1
- Radical
- 7117
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 150
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers whose sum of divisors is a fifth power.at n=20A019423
- Palindromes whose digits do not appear in previous term.at n=34A030285
- Base-10 palindromes that start with 7.at n=13A043042
- Largest palindromic substring in 2^n.at n=58A046260
- Largest palindromic substring in 4^n.at n=29A046262
- Palindromes with exactly 2 prime factors (counted with multiplicity).at n=44A046328
- Palindromes with exactly 2 distinct prime factors.at n=41A046392
- Integers whose sum of divisors is 6^5 = 7776.at n=15A048255
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049735.at n=24A049737
- Number of 3 X 3 stochastic matrices under row and column permutations.at n=36A052282
- Semiprimes p1*p2 such that p2 mod p1 = 9, with p2 > p1.at n=35A064907
- Concatenation of n-th prime and its reverse.at n=19A067087
- Concatenation of R(n) (A004086) and n, omitting leading 0's.at n=16A071273
- Palindromic numbers which are products of an even number of distinct primes.at n=50A075799
- Palindromic odd squarefree numbers with an even number of distinct prime factors.at n=35A075810
- Palindromic odd numbers with exactly 2 prime factors (counted with multiplicity).at n=33A075812
- Number of unlabeled acyclic preferences/voting outcomes, indifference and undecidedness/incompleteness permitted (Social Choice Theory).at n=4A087614
- Palindromes divisible by the number formed by their internal digits.at n=43A088287
- a(n) is the decimal expansion of 7nn7.at n=1A100897
- Palindromes such that successive difference of terms is also a palindrome.at n=33A109872