10627
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10628
- 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
- 10626
- Möbius Function
- -1
- Radical
- 10627
- 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
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1296
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=4A002149
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=25A010007
- a(n) = prime(n^2).at n=35A011757
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=23A031824
- Largest squarefree number k such that Q(sqrt(-k)) has class number n.at n=8A038552
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=33A046006
- Euclid-Mullin sequence (A000945) with initial value a(1)=11 instead of a(1)=2.at n=5A051309
- (6^n)-th prime.at n=4A058192
- Primes p such that p^11 reversed is also prime.at n=41A059704
- a(n) = n^3 - n + 1.at n=22A061600
- Five-digit distinct-digit primes.at n=20A074671
- Sum of even-indexed primes.at n=46A077126
- The last number for which a determinant of base-n numbers is nonzero.at n=20A079505
- Class 6+ primes.at n=7A081634
- Primes p such that p-1 is a product of two or more consecutive integers. Or (p-1) is a permutation of m items chosen from n, for some m and n. p-1 = k*(k+1)(k+2)...(k+r) for some k and r, r>0.at n=42A083520
- Smallest prime of the form n(n-1)(n-2)...(n-k)+1, or 0 if no such prime exists.at n=22A092927
- Prime(p)-4 for primes p such that prime(p) - 4 is prime.at n=28A094069
- Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).at n=11A094230
- a(n) is the 6th term in Euclid-Mullin (EM) prime sequence initiated with n-th prime.at n=4A094462
- Prime partial sums of the even-indexed primes.at n=8A096207