Number

2,971

2,971 is a prime, odd.

2,971 (two thousand nine 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 MMCMLXXI and in binary, 101110011011.

Arithmetic Number Centered Triangular Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

2,959 2,960 2,961 2,962 2,963 2,964 2,965 2,966 2,967 2,968 2,969 2,970 2,971 2,972 2,973 2,974 2,975 2,976 2,977 2,978 2,979 2,980 2,981 2,982 2,983

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Properties

Parity: Odd
Digit count: 4
Digit sum: 19
Digit product: 126
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 1,792
Recamán's sequence: a(1,233) = 2,971
Square (n²): 8,826,841
Cube (n³): 26,224,544,611
Divisor count: 2
σ(n) — sum of divisors: 2,972
φ(n) — Euler's totient: 2,970

Primality

2,971 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 2971

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 2,971)

1 × 2971

First multiples

2,971 · 5,942 (double) · 8,913 · 11,884 · 14,855 · 17,826 · 20,797 · 23,768 · 26,739 · 29,710

Sums & aliquot sequence

As consecutive integers: 1,485 + 1,486

Continued fraction of √n

√2,971 = [54; (1, 1, 35, 1, 5, 11, 1, 17, 3, 1, 53, 1, 3, 17, 1, 11, 5, 1, 35, 1, 1, 108)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: two thousand nine hundred seventy-one
Ordinal: 2971st
Roman numeral: MMCMLXXI
Binary: 101110011011
Octal: 5633
Hexadecimal: 0xB9B
Base64: C5s=
One's complement: 62,564 (16-bit)
Scientific notation: 2.971 × 10³
As a duration: 2,971 s = 49 minutes, 31 seconds

In other bases

ternary (3) 11002001

quaternary (4) 232123

quinary (5) 43341

senary (6) 21431

septenary (7) 11443

nonary (9) 4061

undecimal (11) 2261

duodecimal (12) 1877

tridecimal (13) 1477

tetradecimal (14) 1123

pentadecimal (15) d31

Palindromic in base 16

As an angle

2,971° = 8 × 360° + 91°

91° ≈ 1.588 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵βϡοαʹ
Mayan (base 20): 𝋧·𝋨·𝋫
Chinese: 二千九百七十一
Chinese (financial): 貳仟玖佰柒拾壹

In other modern scripts

Eastern Arabic ٢٩٧١ Devanagari २९७१ Bengali ২৯৭১ Tamil ௨௯௭௧ Thai ๒๙๗๑ Tibetan ༢༩༧༡ Khmer ២៩៧១ Lao ໒໙໗໑ Burmese ၂၉၇၁

Digit at this position in famous constants

π — Pi (π): Digit 2,971 = 5
e — Euler's number (e): Digit 2,971 = 9
φ — Golden ratio (φ): Digit 2,971 = 6
√2 — Pythagoras's (√2): Digit 2,971 = 5
ln 2 — Natural log of 2: Digit 2,971 = 5
γ — Euler-Mascheroni (γ): Digit 2,971 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 2,969 (gap of 2)
Next prime: 2,999 (gap of 28)

Pair status: twin with 2969.

Hex color

#000B9B

RGB(0, 11, 155)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.155.

Address: 0.0.11.155
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.155

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

Musical pitch

Heard as a frequency, 2,971 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +6¢)
Scientific pitch (C4 = 256 Hz): F♯7 (2896.3 Hz, +44¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +8¢)

Position in π

The digit sequence 2971 first appears in π at position 8,586 of the decimal expansion (the 8,586ordinal-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.

Look up 2971 on Pi Search ↗