Properties of the Number 10972

Ten Thousand Nine Hundred Seventy-Two

Basics

Value: 10971 → 10972 → 10973

Parity: even

Prime: No

Previous Prime: 10957

Next Prime: 10973

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 13 × 211

Divisors: 1, 2, 4, 13, 26, 52, 211, 422, 844, 2743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101011011100

Octal: 25334

Duodecimal: 6424

Hexadecimal: 2adc

Square: 120384784

Square Root: 104.74731500138799

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

Least k for the Theodorus spiral to complete n revolutions. A72895

T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)). A233818

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00000111. A261709

Number of non-strict condensed integer partitions of n. A370806

The fourth row of the ED4 array A167584. A167586

A triple of positive integers (n,p,k) is admissible if there exist at least two different multisets of k positive integers, {x₁,x₂,...,x_k} and {y₁,y₂,...,y_k}, such that x₁+x₂+...+x_k = y₁+y₂+...+y_k = n and x_1x_2...x_k = y_1y_2...y_k = p. For each n, let A(n) = {p:(n,p,k) is admissible for some k}, and let a(n) = |A(n)|. A316946

The list of all prime numbers is split into sublists with the 1st sublist L₁ = {2} and n-th sublist L_n = {p₁, p₂, ..., p_m}. a(n) is the largest m such that the maximum prime gap in L_n is < p₁ - prevprime(p₁). A348178

Indices where record high values occur in A379248. A379295

Numbers n such that 13ⁿ is the highest power of 13 dividing A240751(n). A286007

Divide the positive integers into subsets of lengths given by successive primes. a(n) is the sum of primes contained in the n-th subset. A344718