Properties of the Number 12416

Twelve Thousand Four Hundred Sixteen

Basics

Value: 12415 → 12416 → 12417

Parity: even

Prime: No

Previous Prime: 12413

Next Prime: 12421

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁷ × 97

Divisors: 1, 2, 4, 8, 16, 32, 64, 97, 128, 194

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000010000000

Octal: 30200

Duodecimal: 7228

Hexadecimal: 3080

Square: 154157056

Square Root: 111.42710621747295

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

Numbers whose prime indices and prime signature have the same mean. A359903

Products of the 7th power of a prime and a distinct prime (p⁷*q). A179664

Numbers k such that φ(x) = k has exactly 12 solutions. A60675

Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 7·x + 2. A257617

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1)). A233967

G.f. satisfies: A(x) = 1/A(-x·A(x)⁷). A214767

Infinitary Zumkeller numbers (A335197) whose set of infinitary divisors can be partitioned into two disjoint sets of equal sum in a single way. A335199

a(n) = ∑_k=1..n τ(gcd(k,n)^gcd(k,n)), where τ(n) is the number of divisors of n. A344224

Numbers k such that k divides A005941(k). A364548

Ordered perimeters of the Pythagorean triangles defined by a = 2⁴ⁿ + 2²ⁿ⁺¹, b = 2⁴ⁿ - 2^4n-2 - 2²ⁿ - 1, c = 2⁴ⁿ + 2^4n-2 + 2²ⁿ + 1. A381008