Live analysis

3,971

3,971 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,971 (three thousand nine hundred seventy-one) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 11 × 19². Written other ways, in Roman numerals it is MMMCMLXXI and in binary, 111110000011.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

3,959 3,960 3,961 3,962 3,963 3,964 3,965 3,966 3,967 3,968 3,969 3,970 3,971 3,972 3,973 3,974 3,975 3,976 3,977 3,978 3,979 3,980 3,981 3,982 3,983

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 20
Digit product: 189
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 1,793
Recamán's sequence: a(14,449) = 3,971
Square (n²): 15,768,841
Cube (n³): 62,618,067,611
Divisor count: 6
σ(n) — sum of divisors: 4,572
φ(n) — Euler's totient: 3,420
Sum of prime factors: 49

Primality

Prime factorization: 11 × 19 ²

Nearest primes: 3,967 (−4) · 3,989 (+18)

Divisors & multiples

All divisors (6)

1 · 11 · 19 · 209 · 361 · 3971

Aliquot sum (sum of proper divisors): 601

Factor pairs (a × b = 3,971)

1 × 3971

11 × 361

19 × 209

First multiples

3,971 · 7,942 (double) · 11,913 · 15,884 · 19,855 · 23,826 · 27,797 · 31,768 · 35,739 · 39,710

Sums & aliquot sequence

As consecutive integers: 1,985 + 1,986 356 + 357 + … + 366 200 + 201 + … + 218 170 + 171 + … + 191

Aliquot sequence: 3,971 → 601 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,971 = [63; (63, 126)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three thousand nine hundred seventy-one
Ordinal: 3971st
Roman numeral: MMMCMLXXI
Binary: 111110000011
Octal: 7603
Hexadecimal: 0xF83
Base64: D4M=
One's complement: 61,564 (16-bit)
Scientific notation: 3.971 × 10³
As a duration: 3,971 s = 1 hour, 6 minutes, 11 seconds

In other bases

ternary (3) 12110002

quaternary (4) 332003

quinary (5) 111341

senary (6) 30215

septenary (7) 14402

nonary (9) 5402

undecimal (11) 2a90

duodecimal (12) 236b

tridecimal (13) 1a66

tetradecimal (14) 1639

pentadecimal (15) 129b

As an angle

3,971° = 11 × 360° + 11°

11° ≈ 0.192 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γϡοαʹ
Mayan (base 20): 𝋩·𝋲·𝋫
Chinese: 三千九百七十一
Chinese (financial): 參仟玖佰柒拾壹

In other modern scripts

Eastern Arabic ٣٩٧١ Devanagari ३९७१ Bengali ৩৯৭১ Tamil ௩௯௭௧ Thai ๓๙๗๑ Tibetan ༣༩༧༡ Khmer ៣៩៧១ Lao ໓໙໗໑ Burmese ၃၉၇၁

Digit at this position in famous constants

π — Pi (π): Digit 3,971 = 6
e — Euler's number (e): Digit 3,971 = 3
φ — Golden ratio (φ): Digit 3,971 = 1
√2 — Pythagoras's (√2): Digit 3,971 = 1
ln 2 — Natural log of 2: Digit 3,971 = 3
γ — Euler-Mascheroni (γ): Digit 3,971 = 5

Also seen as

Unicode codepoint

ྃ

Tibetan Sign Sna Ldan

U+0F83

Non-spacing mark (Mn)

UTF-8 encoding: E0 BE 83 (3 bytes).

Lookup U+0F83 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F83

RGB(0, 15, 131)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.131.

Address: 0.0.15.131
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.131

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

Musical pitch

Heard as a frequency, 3,971 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, +46¢ — about midway to C8)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +10¢)

Position in π

The digit sequence 3971 first appears in π at position 12,253 of the decimal expansion (the 12,253ordinal-suffix:rd 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 3971 on Pi Search ↗