Live analysis

3,997

3,997 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.).

3,997 (three thousand nine hundred ninety-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 7 × 571. Written other ways, in Roman numerals it is MMMCMXCVII and in binary, 111110011101.

Arithmetic Number Centered Hexagonal Cube-Free Deficient Number Odious Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,985 3,986 3,987 3,988 3,989 3,990 3,991 3,992 3,993 3,994 3,995 3,996 3,997 3,998 3,999 4,000 4,001 4,002 4,003 4,004 4,005 4,006 4,007 4,008 4,009

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 28
Digit product: 1,701
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 7,993
Recamán's sequence: a(14,397) = 3,997
Square (n²): 15,976,009
Cube (n³): 63,856,107,973
Divisor count: 4
σ(n) — sum of divisors: 4,576
φ(n) — Euler's totient: 3,420
Sum of prime factors: 578

Primality

Prime factorization: 7 × 571

Nearest primes: 3,989 (−8) · 4,001 (+4)

Divisors & multiples

All divisors (4)

1 · 7 · 571 · 3997

Aliquot sum (sum of proper divisors): 579

Factor pairs (a × b = 3,997)

1 × 3997

7 × 571

First multiples

3,997 · 7,994 (double) · 11,991 · 15,988 · 19,985 · 23,982 · 27,979 · 31,976 · 35,973 · 39,970

Sums & aliquot sequence

As consecutive integers: 1,998 + 1,999 568 + 569 + … + 574 279 + 280 + … + 292

Aliquot sequence: 3,997 → 579 → 197 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,997 = [63; (4, 1, 1, 31, 18, 31, 1, 1, 4, 126)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: three thousand nine hundred ninety-seven
Ordinal: 3997th
Roman numeral: MMMCMXCVII
Binary: 111110011101
Octal: 7635
Hexadecimal: 0xF9D
Base64: D50=
One's complement: 61,538 (16-bit)
Scientific notation: 3.997 × 10³
As a duration: 3,997 s = 1 hour, 6 minutes, 37 seconds

In other bases

ternary (3) 12111001

quaternary (4) 332131

quinary (5) 111442

senary (6) 30301

septenary (7) 14440

nonary (9) 5431

undecimal (11) 3004

duodecimal (12) 2391

tridecimal (13) 1a86

tetradecimal (14) 1657

pentadecimal (15) 12b7

As an angle

3,997° = 11 × 360° + 37°

37° ≈ 0.646 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γϡϟζʹ
Mayan (base 20): 𝋩·𝋳·𝋱
Chinese: 三千九百九十七
Chinese (financial): 參仟玖佰玖拾柒

In other modern scripts

Eastern Arabic ٣٩٩٧ Devanagari ३९९७ Bengali ৩৯৯৭ Tamil ௩௯௯௭ Thai ๓๙๙๗ Tibetan ༣༩༩༧ Khmer ៣៩៩៧ Lao ໓໙໙໗ Burmese ၃၉၉၇

Digit at this position in famous constants

π — Pi (π): Digit 3,997 = 6
e — Euler's number (e): Digit 3,997 = 3
φ — Golden ratio (φ): Digit 3,997 = 4
√2 — Pythagoras's (√2): Digit 3,997 = 5
ln 2 — Natural log of 2: Digit 3,997 = 9
γ — Euler-Mascheroni (γ): Digit 3,997 = 7

Also seen as

Unicode codepoint

ྜྷ

Tibetan Subjoined Letter Ddha

U+0F9D

Non-spacing mark (Mn)

UTF-8 encoding: E0 BE 9D (3 bytes).

Lookup U+0F9D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F9D

RGB(0, 15, 157)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.157.

Address: 0.0.15.157
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.157

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

Musical pitch

Heard as a frequency, 3,997 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +20¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -42¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +21¢)

Position in π

The digit sequence 3997 first appears in π at position 15,272 of the decimal expansion (the 15,272ordinal-suffix:nd 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 3997 on Pi Search ↗