10457
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10458
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10456
- Möbius Function
- -1
- Radical
- 10457
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- 1279
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of multigraphs on n labeled edges (with loops). Also number of genetically distinct states amongst n individuals.at n=5A020555
- Number of rooted compound windmills with n nodes where any 2 submills extending from the same node are different.at n=14A032160
- Numerators of continued fraction convergents to sqrt(355).at n=6A041672
- a(n) is the least integer that has exactly n anagrams that are primes.at n=17A046890
- Prime number spiral (clockwise, East spoke).at n=18A054555
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(Q).at n=42A057473
- a(n) equals floor(Vc(n) - Vs(n)), where Vc(n) is the volume of the cube with side length n and Vs(n) is the volume of the sphere of diameter n.at n=27A057671
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=19A060261
- a(n) is the smallest number k such that A073813(k) = prime(n).at n=28A073814
- Five-digit distinct-digit primes.at n=12A074671
- Primes p such that (3*p)^2 + p^2 + 3^2 and (3*p)^2 - p^2 - 3^2 are both prime.at n=27A079796
- Primes which when added to their own rotation yield a prime.at n=42A086002
- Twin-prime-indexed primes (TWIPS): members of a pair of twin primes whose prime index is also a member of a pair of twin primes.at n=30A087373
- Smallest member of a pair of consecutive twin prime pairs that have three primes between them.at n=16A089635
- "Secondary twin primes": a(n) = A006450(A096477(n)).at n=30A096479
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=18A101783
- Primes p = prime(k) such that both p+2 and prime(k+6)-2 are prime numbers.at n=30A105413
- The 2^n-th irregular prime.at n=9A105460
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=22A109982
- Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=14A117458