Number

2,141

2,141 is a prime, odd.

2,141 (two thousand one hundred forty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMCXLI and in binary, 100001011101.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

2,129 2,130 2,131 2,132 2,133 2,134 2,135 2,136 2,137 2,138 2,139 2,140 2,141 2,142 2,143 2,144 2,145 2,146 2,147 2,148 2,149 2,150 2,151 2,152 2,153

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 8
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 1,412
Recamán's sequence: a(3,469) = 2,141
Square (n²): 4,583,881
Cube (n³): 9,814,089,221
Divisor count: 2
σ(n) — sum of divisors: 2,142
φ(n) — Euler's totient: 2,140

Primality

2,141 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 2141

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 2,141)

1 × 2141

First multiples

2,141 · 4,282 (double) · 6,423 · 8,564 · 10,705 · 12,846 · 14,987 · 17,128 · 19,269 · 21,410

Sums & aliquot sequence

As a sum of two squares: 5² + 46²

As consecutive integers: 1,070 + 1,071

Continued fraction of √n

√2,141 = [46; (3, 1, 2, 4, 3, 1, 3, 1, 6, 3, 22, 1, 4, 2, 18, 18, 2, 4, 1, 22, 3, 6, 1, 3, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words: two thousand one hundred forty-one
Ordinal: 2141st
Roman numeral: MMCXLI
Binary: 100001011101
Octal: 4135
Hexadecimal: 0x85D
Base64: CF0=
One's complement: 63,394 (16-bit)
Scientific notation: 2.141 × 10³
As a duration: 2,141 s = 35 minutes, 41 seconds

In other bases

ternary (3) 2221022

quaternary (4) 201131

quinary (5) 32031

senary (6) 13525

septenary (7) 6146

nonary (9) 2838

undecimal (11) 1677

duodecimal (12) 12a5

tridecimal (13) c89

tetradecimal (14) acd

pentadecimal (15) 97b

As an angle

2,141° = 5 × 360° + 341°

341° ≈ 5.952 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵βρμαʹ
Mayan (base 20): 𝋥·𝋧·𝋡
Chinese: 二千一百四十一
Chinese (financial): 貳仟壹佰肆拾壹

In other modern scripts

Eastern Arabic ٢١٤١ Devanagari २१४१ Bengali ২১৪১ Tamil ௨௧௪௧ Thai ๒๑๔๑ Tibetan ༢༡༤༡ Khmer ២១៤១ Lao ໒໑໔໑ Burmese ၂၁၄၁

Digit at this position in famous constants

π — Pi (π): Digit 2,141 = 2
e — Euler's number (e): Digit 2,141 = 1
φ — Golden ratio (φ): Digit 2,141 = 9
√2 — Pythagoras's (√2): Digit 2,141 = 5
ln 2 — Natural log of 2: Digit 2,141 = 4
γ — Euler-Mascheroni (γ): Digit 2,141 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 2,137 (gap of 4)
Next prime: 2,143 (gap of 2)

Pair status: twin with 2143, cousin with 2137.

Hex color

#00085D

RGB(0, 8, 93)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.93.

Address: 0.0.8.93
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.93

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

Musical pitch

Heard as a frequency, 2,141 Hz is closest to:

Concert pitch (A4 = 440 Hz): C7 (2093 Hz, +39¢)
Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, -23¢)
Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, +41¢)

Position in π

The digit sequence 2141 first appears in π at position 20,492 of the decimal expansion (the 20,492ordinal-suffix:nd 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 2141 on Pi Search ↗