10007
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
- 10008
- 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
- 10006
- Möbius Function
- -1
- Radical
- 10007
- 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
- 179
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1230
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest n-digit prime.at n=4A003617
- Smallest prime containing n-th cube as substring.at n=10A029949
- Primes that are palindromic in base 7.at n=32A029975
- Smallest nontrivial extension of n-th cube which is a prime.at n=9A030692
- 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=18A031597
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=23A035790
- Smallest prime containing exactly n 0's.at n=3A037053
- Base-7 palindromes that start with 4.at n=24A043018
- Numbers having three 0's in base 10.at n=15A043491
- Smaller of twin prime pairs in consecutively larger seas of composite numbers.at n=29A046928
- Primes p such that the decimal digits of p^2 can be partitioned into two or more nonzero squares.at n=28A048646
- First of four consecutive primes that comprise two sets of twin primes.at n=38A053778
- a(n) = next prime after n^4.at n=9A053786
- Start with the prime 11; next prime must exceed previous prime and start with last digit of previous prime.at n=9A054262
- a(n) = 2*p + 2*n - 1, where p is the least prime such that next_prime(2*p) - 2*p = 2*n - 1.at n=16A059847
- a(1) = 2; a(n+1) = smallest prime > a(n) with leading digit equal to final digit of a(n).at n=9A061448
- Concatenation of n^3 and 7.at n=9A061679
- Primes whose sum of digits is 8.at n=29A062343
- Smallest prime with prime(n) decimal digits.at n=2A064490
- Numbers k such that sigma(k+2) - sigma(k) = prime(k+1) - prime(k).at n=30A067062