number.wiki
Number

2,671

2,671 is a prime, odd.

2,671 (two thousand six hundred seventy-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 MMDCLXXI and in binary, 101001101111.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
84
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
1,762
Recamán's sequence
a(15,513) = 2,671
Square (n²)
7,134,241
Cube (n³)
19,055,557,711
Divisor count
2
σ(n) — sum of divisors
2,672
φ(n) — Euler's totient
2,670

Primality

2,671 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2671
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,671)
1 × 2671
First multiples
2,671 · 5,342 (double) · 8,013 · 10,684 · 13,355 · 16,026 · 18,697 · 21,368 · 24,039 · 26,710

Sums & aliquot sequence

As consecutive integers: 1,335 + 1,336

Continued fraction of √n

√2,671 = [51; (1, 2, 7, 20, 1, 1, 6, 2, 1, 1, 1, 3, 1, 1, 33, 1, 8, 2, 2, 1, 6, 5, 1, 1, …)]

Representations

In words
two thousand six hundred seventy-one
Ordinal
2671st
Roman numeral
MMDCLXXI
Binary
101001101111
Octal
5157
Hexadecimal
0xA6F
Base64
Cm8=
One's complement
62,864 (16-bit)
Scientific notation
2.671 × 10³
As a duration
2,671 s = 44 minutes, 31 seconds
In other bases
ternary (3) 10122221
quaternary (4) 221233
quinary (5) 41141
senary (6) 20211
septenary (7) 10534
nonary (9) 3587
undecimal (11) 2009
duodecimal (12) 1667
tridecimal (13) 12a6
tetradecimal (14) d8b
pentadecimal (15) bd1

As an angle

2,671° = 7 × 360° + 151°
151° ≈ 2.635 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵βχοαʹ
Mayan (base 20)
𝋦·𝋭·𝋫
Chinese
二千六百七十一
Chinese (financial)
貳仟陸佰柒拾壹
In other modern scripts
Eastern Arabic ٢٦٧١ Devanagari २६७१ Bengali ২৬৭১ Tamil ௨௬௭௧ Thai ๒๖๗๑ Tibetan ༢༦༧༡ Khmer ២៦៧១ Lao ໒໖໗໑ Burmese ၂၆၇၁

Digit at this position in famous constants

π — Pi (π)
Digit 2,671 = 0
e — Euler's number (e)
Digit 2,671 = 6
φ — Golden ratio (φ)
Digit 2,671 = 5
√2 — Pythagoras's (√2)
Digit 2,671 = 4
ln 2 — Natural log of 2
Digit 2,671 = 3
γ — Euler-Mascheroni (γ)
Digit 2,671 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,663 (gap of 8)
  • Next prime: 2,677 (gap of 6)

Pair status: sexy with 2677.

Unicode codepoint
Gurmukhi Digit Nine
U+0A6F
Decimal digit (Nd)

UTF-8 encoding: E0 A9 AF (3 bytes).

Hex color
#000A6F
RGB(0, 10, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.111.

Address
0.0.10.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.111

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

Musical pitch

Heard as a frequency, 2,671 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E7 (2637 Hz, +22¢)
  • Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, -40¢)
  • Baroque pitch (A4 = 415 Hz): F7 (2635.1 Hz, +23¢)
Position in π

The digit sequence 2671 first appears in π at position 2,051 of the decimal expansion (the 2,051ordinal-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.

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.