10151
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10152
- 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
- 10150
- Möbius Function
- -1
- Radical
- 10151
- 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
- 148
- 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
- 1246
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=24A001275
- 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 99.at n=33A031597
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=40A031812
- a(0)=0, a(1)=1, a(n) = smallest prime >= a(n-1) + a(n-2).at n=19A055498
- a(0)=0, a(1)=1, a(n) = smallest prime > a(n-1)+a(n-2).at n=18A055499
- Primes whose sum of digits is 8.at n=32A062343
- The minimal number which has multiplicative persistence 8 in base n.at n=23A064872
- Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=13A065044
- Primes which can be expressed as concatenation of powers of 5 and 0's.at n=14A066596
- Number of ways to sum numbers from 1 to n to the n-th prime.at n=20A067953
- n sets a new record for the index of the (presumably) last palindrome in the 'Reverse and Add' trajectory of n.at n=9A070743
- Apart from initial 0, same as A055498.at n=19A073021
- Each term is the smallest prime > the sum of the previous 2 terms.at n=18A073022
- Primes on axis of Ulam square spiral (with rows ... / 7 8 9 / 6 1 2 / 5 4 3 / ... ) with origin at (1).at n=43A078784
- Primes p such that (3*p)^2 + p^2 + 3^2 and (3*p)^2 - p^2 - 3^2 are both prime.at n=26A079796
- Primes which when added to their own rotation yield a prime.at n=28A086002
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=29A088483
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=32A094454
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=24A094458
- Numbers that reach the fixed point 89 under iteration of f(x) = reverse(x) - maxdigit(x).at n=14A097155