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Number

16,141

16,141 is a prime, odd.

16,141 (sixteen thousand one hundred forty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3F0D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
24
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
14,161
Recamán's sequence
a(6,050) = 16,141
Square (n²)
260,531,881
Cube (n³)
4,205,245,091,221
Divisor count
2
σ(n) — sum of divisors
16,142
φ(n) — Euler's totient
16,140

Primality

16,141 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16141
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,141)
1 × 16141
First multiples
16,141 · 32,282 (double) · 48,423 · 64,564 · 80,705 · 96,846 · 112,987 · 129,128 · 145,269 · 161,410

Sums & aliquot sequence

As a sum of two squares: 54² + 115²
As consecutive integers: 8,070 + 8,071

Continued fraction of √n

√16,141 = [127; (21, 5, 1, 6, 4, 2, 8, 1, 27, 2, 1, 20, 1, 1, 63, 84, 1, 2, 6, 1, 2, 1, 1, 1, …)]

Period length 49 — the block in parentheses repeats forever.

Representations

In words
sixteen thousand one hundred forty-one
Ordinal
16141st
Binary
11111100001101
Octal
37415
Hexadecimal
0x3F0D
Base64
Pw0=
One's complement
49,394 (16-bit)
Scientific notation
1.6141 × 10⁴
As a duration
16,141 s = 4 hours, 29 minutes, 1 second
In other bases
ternary (3) 211010211
quaternary (4) 3330031
quinary (5) 1004031
senary (6) 202421
septenary (7) 65026
nonary (9) 24124
undecimal (11) 11144
duodecimal (12) 9411
tridecimal (13) 7468
tetradecimal (14) 5c4d
pentadecimal (15) 4bb1

As an angle

16,141° = 44 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιϛρμαʹ
Mayan (base 20)
𝋢·𝋠·𝋧·𝋡
Chinese
一萬六千一百四十一
Chinese (financial)
壹萬陸仟壹佰肆拾壹
In other modern scripts
Eastern Arabic ١٦١٤١ Devanagari १६१४१ Bengali ১৬১৪১ Tamil ௧௬௧௪௧ Thai ๑๖๑๔๑ Tibetan ༡༦༡༤༡ Khmer ១៦១៤១ Lao ໑໖໑໔໑ Burmese ၁၆၁၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 16,141 = 5
e — Euler's number (e)
Digit 16,141 = 6
φ — Golden ratio (φ)
Digit 16,141 = 4
√2 — Pythagoras's (√2)
Digit 16,141 = 8
ln 2 — Natural log of 2
Digit 16,141 = 1
γ — Euler-Mascheroni (γ)
Digit 16,141 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,139 (gap of 2)
  • Next prime: 16,183 (gap of 42)

Pair status: twin with 16139.

Unicode codepoint
CJK Unified Ideograph-3F0D
U+3F0D
Other letter (Lo)

UTF-8 encoding: E3 BC 8D (3 bytes).

Hex color
#003F0D
RGB(0, 63, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.13.

Address
0.0.63.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.63.13

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

Musical pitch

Heard as a frequency, 16,141 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, +36¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -26¢)
  • Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, +38¢)
Position in π

The digit sequence 16141 first appears in π at position 7,764 of the decimal expansion (the 7,764ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.