1031
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1032
- 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
- 1030
- Möbius Function
- -1
- Radical
- 1031
- 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
- 36
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 173
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.at n=17A000355
- Number of partitions of n in which no parts are multiples of 3.at n=29A000726
- Lesser of twin primes.at n=36A001359
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=8A001583
- Smallest prime == 7 (mod 8) where Q(sqrt(-p)) has class number 2n+1.at n=17A002146
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=20A002515
- Quintan primes: p = (x^5 - y^5)/(x - y).at n=3A002649
- Numbers that are the sum of 8 positive 5th powers.at n=32A003353
- Numbers that are the sum of 11 positive 8th powers.at n=4A003389
- Numbers that are the sum of 9 positive 9th powers.at n=2A003398
- Indices of prime repunits: numbers k such that 11...111 (with k 1's) = (10^k - 1)/9 is prime.at n=4A004023
- Numbers that are the sum of 8 positive 10th powers.at n=1A004808
- Numbers that are the sum of at most 9 positive 9th powers.at n=26A004893
- Numbers that are the sum of at most 10 positive 9th powers.at n=28A004894
- Numbers that are the sum of at most 11 positive 9th powers.at n=30A004895
- Numbers that are the sum of at most 12 positive 9th powers.at n=32A004896
- Numbers that are the sum of at most 8 nonzero 10th powers.at n=16A004903
- Numbers that are the sum of at most 9 nonzero 10th powers.at n=17A004904
- Numbers that are the sum of at most 10 nonzero 10th powers.at n=18A004905
- Numbers that are the sum of at most 11 nonzero 10th powers.at n=19A004906