Number

13,841

13,841 is a prime, odd.

13,841 (thirteen thousand eight 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, 0x3611.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

13,829 13,830 13,831 13,832 13,833 13,834 13,835 13,836 13,837 13,838 13,839 13,840 13,841 13,842 13,843 13,844 13,845 13,846 13,847 13,848 13,849 13,850 13,851 13,852 13,853

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 17
Digit product: 96
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 14,831
Recamán's sequence: a(21,034) = 13,841
Square (n²): 191,573,281
Cube (n³): 2,651,565,782,321
Divisor count: 2
σ(n) — sum of divisors: 13,842
φ(n) — Euler's totient: 13,840

Primality

13,841 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13841

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,841)

1 × 13841

First multiples

13,841 · 27,682 (double) · 41,523 · 55,364 · 69,205 · 83,046 · 96,887 · 110,728 · 124,569 · 138,410

Sums & aliquot sequence

As a sum of two squares: 55² + 104²

As consecutive integers: 6,920 + 6,921

Continued fraction of √n

√13,841 = [117; (1, 1, 1, 5, 4, 1, 1, 1, 2, 33, 4, 4, 33, 2, 1, 1, 1, 4, 5, 1, 1, 1, 234)]

Period length 23 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand eight hundred forty-one
Ordinal: 13841st
Binary: 11011000010001
Octal: 33021
Hexadecimal: 0x3611
Base64: NhE=
One's complement: 51,694 (16-bit)
Scientific notation: 1.3841 × 10⁴
As a duration: 13,841 s = 3 hours, 50 minutes, 41 seconds

In other bases

ternary (3) 200222122

quaternary (4) 3120101

quinary (5) 420331

senary (6) 144025

septenary (7) 55232

nonary (9) 20878

undecimal (11) a443

duodecimal (12) 8015

tridecimal (13) 63b9

tetradecimal (14) 5089

pentadecimal (15) 417b

As an angle

13,841° = 38 × 360° + 161°

161° ≈ 2.81 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ιγωμαʹ
Mayan (base 20): 𝋡·𝋮·𝋬·𝋡
Chinese: 一萬三千八百四十一
Chinese (financial): 壹萬參仟捌佰肆拾壹

In other modern scripts

Eastern Arabic ١٣٨٤١ Devanagari १३८४१ Bengali ১৩৮৪১ Tamil ௧௩௮௪௧ Thai ๑๓๘๔๑ Tibetan ༡༣༨༤༡ Khmer ១៣៨៤១ Lao ໑໓໘໔໑ Burmese ၁၃၈၄၁

Digit at this position in famous constants

π — Pi (π): Digit 13,841 = 2
e — Euler's number (e): Digit 13,841 = 3
φ — Golden ratio (φ): Digit 13,841 = 9
√2 — Pythagoras's (√2): Digit 13,841 = 9
ln 2 — Natural log of 2: Digit 13,841 = 3
γ — Euler-Mascheroni (γ): Digit 13,841 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,831 (gap of 10)
Next prime: 13,859 (gap of 18)

Unicode codepoint

㘑

CJK Unified Ideograph-3611

U+3611

Other letter (Lo)

UTF-8 encoding: E3 98 91 (3 bytes).

Lookup U+3611 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003611

RGB(0, 54, 17)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.17.

Address: 0.0.54.17
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.17

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

Musical pitch

Heard as a frequency, 13,841 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -30¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +8¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -28¢)

Position in π

The digit sequence 13841 first appears in π at position 381 of the decimal expansion (the 381ordinal-suffix:st 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.

Look up 13841 on Pi Search ↗