1303
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1304
- 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
- 1302
- Möbius Function
- -1
- Radical
- 1303
- 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
- 101
- 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
- 213
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=43A000057
- Number of partitions into non-integral powers.at n=18A000327
- Primes p of the form 3k+1 such that -sqrt(p) < sum_{x=1..p} cos(2*Pi*x^3/p) < sqrt(p).at n=30A000922
- Primes with 6 as smallest primitive root.at n=13A001125
- Largest prime == 7 (mod 8) with class number 2n+1.at n=5A002147
- Numerator of Sum_{i+j+k=n; i,j,k > 0} 1/(i*j*k).at n=7A002545
- Numbers divisible only by primes congruent to 1 mod 7.at n=36A004619
- Class 4+ primes (for definition see A005105).at n=20A005108
- Greater of twin primes.at n=44A006512
- 7th-order maximal independent sets in path graph.at n=47A007381
- Coordination sequence T5 for Zeolite Code NES.at n=23A008209
- Molien series for A_11.at n=24A008634
- Number of partitions of n into at most 11 parts.at n=24A008640
- Number of loopless multigraphs with 7 nodes and n edges.at n=8A014397
- Primes p==1 (mod 6) such that 3 and -3 are both cubes (one implies other) modulo p.at n=31A014753
- Numbers k such that sigma(k) + 4 = sigma(k+4).at n=47A015913
- Expansion of 1/(1 - x^11 - x^12 - ...).at n=59A017905
- Nearest integer to Gamma(n + 5/9)/Gamma(5/9).at n=7A020021
- Ceiling of Gamma(n+5/9)/Gamma(5/9).at n=7A020111
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=1A020391