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Number

3,371

3,371 is a prime, odd.

3,371 (three thousand three 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 MMMCCCLXXI and in binary, 110100101011.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
63
Digital root
5
Palindrome
No
Bit width
12 bits
Reversed
1,733
Recamán's sequence
a(29,402) = 3,371
Square (n²)
11,363,641
Cube (n³)
38,306,833,811
Divisor count
2
σ(n) — sum of divisors
3,372
φ(n) — Euler's totient
3,370

Primality

3,371 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 3371
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 3,371)
1 × 3371
First multiples
3,371 · 6,742 (double) · 10,113 · 13,484 · 16,855 · 20,226 · 23,597 · 26,968 · 30,339 · 33,710

Sums & aliquot sequence

As consecutive integers: 1,685 + 1,686

Continued fraction of √n

√3,371 = [58; (16, 1, 1, 2, 1, 1, 1, 1, 1, 8, 3, 4, 1, 22, 2, 2, 2, 1, 10, 1, 9, 1, 1, 1, …)]

Representations

In words
three thousand three hundred seventy-one
Ordinal
3371st
Roman numeral
MMMCCCLXXI
Binary
110100101011
Octal
6453
Hexadecimal
0xD2B
Base64
DSs=
One's complement
62,164 (16-bit)
Scientific notation
3.371 × 10³
As a duration
3,371 s = 56 minutes, 11 seconds
In other bases
ternary (3) 11121212
quaternary (4) 310223
quinary (5) 101441
senary (6) 23335
septenary (7) 12554
nonary (9) 4555
undecimal (11) 2595
duodecimal (12) 1b4b
tridecimal (13) 16c4
tetradecimal (14) 132b
pentadecimal (15) eeb

As an angle

3,371° = 9 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵γτοαʹ
Mayan (base 20)
𝋨·𝋨·𝋫
Chinese
三千三百七十一
Chinese (financial)
參仟參佰柒拾壹
In other modern scripts
Eastern Arabic ٣٣٧١ Devanagari ३३७१ Bengali ৩৩৭১ Tamil ௩௩௭௧ Thai ๓๓๗๑ Tibetan ༣༣༧༡ Khmer ៣៣៧១ Lao ໓໓໗໑ Burmese ၃၃၇၁

Digit at this position in famous constants

π — Pi (π)
Digit 3,371 = 1
e — Euler's number (e)
Digit 3,371 = 0
φ — Golden ratio (φ)
Digit 3,371 = 5
√2 — Pythagoras's (√2)
Digit 3,371 = 7
ln 2 — Natural log of 2
Digit 3,371 = 7
γ — Euler-Mascheroni (γ)
Digit 3,371 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 3,361 (gap of 10)
  • Next prime: 3,373 (gap of 2)

Pair status: twin with 3373.

Unicode codepoint
Malayalam Letter Pha
U+0D2B
Other letter (Lo)

UTF-8 encoding: E0 B4 AB (3 bytes).

Hex color
#000D2B
RGB(0, 13, 43)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.43.

Address
0.0.13.43
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.13.43

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

Musical pitch

Heard as a frequency, 3,371 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +25¢)
  • Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -37¢)
  • Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +26¢)
Position in π

The digit sequence 3371 first appears in π at position 7,185 of the decimal expansion (the 7,185ordinal-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.