1307
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1308
- 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
- 1306
- Möbius Function
- -1
- Radical
- 1307
- 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
- 176
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 214
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 12 positive 6th powers.at n=22A003368
- a(n) = round(n*phi^7), where phi is the golden ratio, A001622.at n=45A004942
- a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.at n=45A004962
- Safe primes p: (p-1)/2 is also prime.at n=28A005385
- Coordination sequence T2 for Zeolite Code APC.at n=25A008033
- Coordination sequence T5 for Zeolite Code MFI.at n=23A008168
- Coordination sequence T3 for Zeolite Code NES.at n=23A008207
- Number of distinct orders of permutations of n objects; number of nonisomorphic cyclic subgroups of symmetric group S_n.at n=53A009490
- A B_2 sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct.at n=30A011185
- a(n) is prime and sum of all primes <= a(n) is prime.at n=27A013917
- Primes with primitive root 8.at n=49A019338
- Coordination sequence T2 for Zeolite Code CGF.at n=25A019452
- Coordination sequence T3 for Zeolite Code CGF.at n=25A019453
- Numbers k such that the continued fraction for sqrt(k) has period 18.at n=37A020357
- Smallest nonempty set S containing prime divisors of 9k+4 for each k in S.at n=53A020626
- Place where n-th 1 occurs in A023129.at n=39A022791
- Primes p such that 4*p + 5 is also prime.at n=47A023214
- Primes p such that 7*p + 2 is also prime.at n=50A023223
- Primes p such that 7*p + 8 is also prime.at n=38A023226
- Numbers k such that k and 8*k + 1 are both prime.at n=38A023228