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Number

2,741

2,741 is a prime, odd.

2,741 (two thousand seven 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 MMDCCXLI and in binary, 101010110101.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
56
Digital root
5
Palindrome
No
Bit width
12 bits
Reversed
1,472
Recamán's sequence
a(2,773) = 2,741
Square (n²)
7,513,081
Cube (n³)
20,593,355,021
Divisor count
2
σ(n) — sum of divisors
2,742
φ(n) — Euler's totient
2,740

Primality

2,741 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2741
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,741)
1 × 2741
First multiples
2,741 · 5,482 (double) · 8,223 · 10,964 · 13,705 · 16,446 · 19,187 · 21,928 · 24,669 · 27,410

Sums & aliquot sequence

As a sum of two squares: 25² + 46²
As consecutive integers: 1,370 + 1,371

Continued fraction of √n

√2,741 = [52; (2, 1, 4, 1, 1, 3, 5, 4, 2, 1, 3, 20, 1, 2, 25, 1, 5, 5, 14, 1, 3, 3, 1, 14, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
two thousand seven hundred forty-one
Ordinal
2741st
Roman numeral
MMDCCXLI
Binary
101010110101
Octal
5265
Hexadecimal
0xAB5
Base64
CrU=
One's complement
62,794 (16-bit)
Scientific notation
2.741 × 10³
As a duration
2,741 s = 45 minutes, 41 seconds
In other bases
ternary (3) 10202112
quaternary (4) 222311
quinary (5) 41431
senary (6) 20405
septenary (7) 10664
nonary (9) 3675
undecimal (11) 2072
duodecimal (12) 1705
tridecimal (13) 132b
tetradecimal (14) ddb
pentadecimal (15) c2b

As an angle

2,741° = 7 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵βψμαʹ
Mayan (base 20)
𝋦·𝋱·𝋡
Chinese
二千七百四十一
Chinese (financial)
貳仟柒佰肆拾壹
In other modern scripts
Eastern Arabic ٢٧٤١ Devanagari २७४१ Bengali ২৭৪১ Tamil ௨௭௪௧ Thai ๒๗๔๑ Tibetan ༢༧༤༡ Khmer ២៧៤១ Lao ໒໗໔໑ Burmese ၂၇၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 2,741 = 1
e — Euler's number (e)
Digit 2,741 = 4
φ — Golden ratio (φ)
Digit 2,741 = 8
√2 — Pythagoras's (√2)
Digit 2,741 = 4
ln 2 — Natural log of 2
Digit 2,741 = 6
γ — Euler-Mascheroni (γ)
Digit 2,741 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,731 (gap of 10)
  • Next prime: 2,749 (gap of 8)
Unicode codepoint
Gujarati Letter Va
U+0AB5
Other letter (Lo)

UTF-8 encoding: E0 AA B5 (3 bytes).

Hex color
#000AB5
RGB(0, 10, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.181.

Address
0.0.10.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.181

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

Musical pitch

Heard as a frequency, 2,741 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -33¢)
  • Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +5¢)
  • Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, -32¢)
Position in π

The digit sequence 2741 first appears in π at position 24,756 of the decimal expansion (the 24,756ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.