10657
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10658
- 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
- 10656
- Möbius Function
- -1
- Radical
- 10657
- 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
- 86
- 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
- 1300
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Quartan primes: primes of the form x^4 + y^4, x > 0, y > 0.at n=14A002645
- Primes of the form 2^a + 3^b.at n=50A004051
- 4-dimensional centered cube numbers.at n=8A008514
- Least m such that if r and s in {1/4, 1/8, 1/12, ..., 1/4n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=39A024839
- Primes that are palindromic in base 9.at n=24A029977
- a(n) = prime(100*n).at n=12A031921
- Primes of the form 666*n + 1.at n=5A037029
- Numerators of continued fraction convergents to sqrt(37).at n=3A041060
- Numerators of continued fraction convergents to sqrt(148).at n=3A041270
- Numerators of continued fraction convergents to sqrt(333).at n=3A041628
- Numerators of continued fraction convergents to sqrt(592).at n=3A042134
- Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees.at n=31A057123
- Primes p such that x^37 = 2 has no solution mod p.at n=36A059223
- a(1) = 2; a(n) = smallest prime > a(n-1) such that the sum of any three nondecreasing terms, chosen from a(1), ..., a(n-1) and a(n), is unique.at n=16A060276
- Numbers k that, when expressed in base 5 and then interpreted in base 8, give a multiple of k.at n=33A062930
- Primes of the form 2*n^2 - 1.at n=35A066436
- Centered 16-gonal numbers.at n=36A069129
- Number of n-digit primes with digit sum n.at n=10A073902
- a(n) = 8^n + 9^n.at n=4A074624
- Five-digit distinct-digit primes.at n=22A074671