Properties of the Number 10997

Ten Thousand Nine Hundred Ninety-Seven

Basics

Value: 10996 → 10997 → 10998

Parity: odd

Prime: No

Previous Prime: 10993

Next Prime: 11003

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 × 1571

Divisors: 1, 7, 1571, 10997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011110101

Octal: 25365

Duodecimal: 6445

Hexadecimal: 2af5

Square: 120934009

Square Root: 104.86658190291128

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Partial sums of A299277. A299278

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240364

Number of n-regular, N₀-weighted pseudographs on 2 vertices with total edge weight 9, up to isomorphism. A358249

Number of primitive (aperiodic) palindromic structures using a maximum of four different symbols. A56478

Triangle read by rows: T(n,k) = 1 + (q-binomial coefficient [n,k] for q=3) - binomial(n,k). A176421

An "extremely strange sequence": a(n+1) = [ A·a(n)+B ]/p^r, where p^r is the highest power of p dividing [ A·a(n)+B ] and p=2, A=4.001, B=1.2. A28948

a(n) = ∑_i=1..n (-1)ⁱ⁺¹ prime(i)², where prime(k) denotes the k-th prime: alternating sum of the squares of the first n primes. A240860

Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x. A47826

Number of n X 4 binary arrays with each 1 adjacent to exactly one 1 vertically and one 1 horizontally. A183336

Number of nondecreasing arrangements of n+2 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding three. A190034