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Number

16,381

16,381 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
144
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
18,361
Recamán's sequence
a(17,950) = 16,381
Square (n²)
268,337,161
Cube (n³)
4,395,631,034,341
Divisor count
2
σ(n) — sum of divisors
16,382
φ(n) — Euler's totient
16,380

Primality

16,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16381
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,381)
1 × 16381
First multiples
16,381 · 32,762 (double) · 49,143 · 65,524 · 81,905 · 98,286 · 114,667 · 131,048 · 147,429 · 163,810

Sums & aliquot sequence

As a sum of two squares: 90² + 91²
As consecutive integers: 8,190 + 8,191

Representations

In words
sixteen thousand three hundred eighty-one
Ordinal
16381st
Binary
11111111111101
Octal
37775
Hexadecimal
0x3FFD
Base64
P/0=
One's complement
49,154 (16-bit)
In other bases
ternary (3) 211110201
quaternary (4) 3333331
quinary (5) 1011011
senary (6) 203501
septenary (7) 65521
nonary (9) 24421
undecimal (11) 11342
duodecimal (12) 9591
tridecimal (13) 75c1
tetradecimal (14) 5d81
pentadecimal (15) 4cc1

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιϛτπαʹ
Mayan (base 20)
𝋢·𝋠·𝋳·𝋡
Chinese
一萬六千三百八十一
Chinese (financial)
壹萬陸仟參佰捌拾壹
In other modern scripts
Eastern Arabic ١٦٣٨١ Devanagari १६३८१ Bengali ১৬৩৮১ Tamil ௧௬௩௮௧ Thai ๑๖๓๘๑ Tibetan ༡༦༣༨༡ Khmer ១៦៣៨១ Lao ໑໖໓໘໑ Burmese ၁၆၃၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 16,381 = 3
e — Euler's number (e)
Digit 16,381 = 5
φ — Golden ratio (φ)
Digit 16,381 = 3
√2 — Pythagoras's (√2)
Digit 16,381 = 1
ln 2 — Natural log of 2
Digit 16,381 = 6
γ — Euler-Mascheroni (γ)
Digit 16,381 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,369 (gap of 12)
  • Next prime: 16,411 (gap of 30)
Unicode codepoint
CJK Unified Ideograph-3Ffd
U+3FFD
Other letter (Lo)

UTF-8 encoding: E3 BF BD (3 bytes).

Hex color
#003FFD
RGB(0, 63, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.253.

Address
0.0.63.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.63.253

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 16381 first appears in π at position 32,389 of the decimal expansion (the 32,389ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.