Properties of the Number 73681

Seventy-Three Thousand Six Hundred Eighty-One

Basics

Value: 73680 → 73681 → 73682

Parity: odd

Prime: Yes

Previous Prime: 73679

Next Prime: 73693

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 73681

Divisors: 1, 73681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111111010001

Octal: 217721

Duodecimal: 36781

Hexadecimal: 11fd1

Square: 5428889761

Square Root: 271.44244325455077

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

"STIRLING" transform of squares A000290. A33452

Triangle read by rows: matrix product of the binomial coefficients with the Stirling numbers of the second kind. A126350

Triangle read by rows: A008277·A007318. A137597

Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} in which the last block is the singleton {k}, 1<=k<=n; the blocks are ordered with increasing least elements. A108458

Primes that remain prime through 3 iterations of function f(x) = 8x + 3. A23292

Primes with property that when cubed all even digits occur together and all odd digits occur together. A30482

Primes of the form (k+1)*prime(k) + k·prime(k+1). A97241

Triangle by rows, A033452 convolved with A000079. A180338

a(n) is the least prime p such that p+prime(n) has exactly n prime factors, counted with multiplicity. A332860

E.g.f. sec(x)/(1-x) = 1/( cos(x) * (1-x) ). A159039