Live analysis

3,976

3,976 is a composite number, even.

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.).

3,976 (three thousand nine hundred seventy-six) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 71. Its proper divisors sum to 4,664, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCMLXXVI and in binary, 111110001000.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 3,984 3,985 3,986 3,987 3,988

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 25
Digit product: 1,134
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 6,793
Recamán's sequence: a(14,439) = 3,976
Square (n²): 15,808,576
Cube (n³): 62,854,898,176
Divisor count: 16
σ(n) — sum of divisors: 8,640
φ(n) — Euler's totient: 1,680
Sum of prime factors: 84

Primality

Prime factorization: 2 ³ × 7 × 71

Nearest primes: 3,967 (−9) · 3,989 (+13)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 71 · 142 · 284 · 497 · 568 · 994 · 1988 (half) · 3976

Aliquot sum (sum of proper divisors): 4,664

Factor pairs (a × b = 3,976)

1 × 3976

2 × 1988

4 × 994

7 × 568

8 × 497

14 × 284

28 × 142

56 × 71

First multiples

3,976 · 7,952 (double) · 11,928 · 15,904 · 19,880 · 23,856 · 27,832 · 31,808 · 35,784 · 39,760

Sums & aliquot sequence

As consecutive integers: 565 + 566 + … + 571 241 + 242 + … + 256 21 + 22 + … + 91

Aliquot sequence: 3,976 → 4,664 → 5,056 → 5,104 → 6,056 → 5,314 → 2,660 → 4,060 → 6,020 → 8,764 → 8,820 → 22,302 → 35,298 → 44,730 → 90,054 → 105,102 → 122,658 — unresolved within range

Continued fraction of √n

√3,976 = [63; (18, 126)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three thousand nine hundred seventy-six
Ordinal: 3976th
Roman numeral: MMMCMLXXVI
Binary: 111110001000
Octal: 7610
Hexadecimal: 0xF88
Base64: D4g=
One's complement: 61,559 (16-bit)
Scientific notation: 3.976 × 10³
As a duration: 3,976 s = 1 hour, 6 minutes, 16 seconds

In other bases

ternary (3) 12110021

quaternary (4) 332020

quinary (5) 111401

senary (6) 30224

septenary (7) 14410

nonary (9) 5407

undecimal (11) 2a95

duodecimal (12) 2374

tridecimal (13) 1a6b

tetradecimal (14) 1640

pentadecimal (15) 12a1

As an angle

3,976° = 11 × 360° + 16°

16° ≈ 0.279 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γϡοϛʹ
Mayan (base 20): 𝋩·𝋲·𝋰
Chinese: 三千九百七十六
Chinese (financial): 參仟玖佰柒拾陸

In other modern scripts

Eastern Arabic ٣٩٧٦ Devanagari ३९७६ Bengali ৩৯৭৬ Tamil ௩௯௭௬ Thai ๓๙๗๖ Tibetan ༣༩༧༦ Khmer ៣៩៧៦ Lao ໓໙໗໖ Burmese ၃၉၇၆

Digit at this position in famous constants

π — Pi (π): Digit 3,976 = 5
e — Euler's number (e): Digit 3,976 = 0
φ — Golden ratio (φ): Digit 3,976 = 8
√2 — Pythagoras's (√2): Digit 3,976 = 3
ln 2 — Natural log of 2: Digit 3,976 = 2
γ — Euler-Mascheroni (γ): Digit 3,976 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3976, here are decompositions:

29 + 3947 = 3976
47 + 3929 = 3976
53 + 3923 = 3976
59 + 3917 = 3976
113 + 3863 = 3976
173 + 3803 = 3976
179 + 3797 = 3976
197 + 3779 = 3976

Showing the first eight; more decompositions exist.

Unicode codepoint

ྈ

Tibetan Sign Lce Tsa Can

U+0F88

Other letter (Lo)

UTF-8 encoding: E0 BE 88 (3 bytes).

Lookup U+0F88 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F88

RGB(0, 15, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.136.

Address: 0.0.15.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.136

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

Musical pitch

Heard as a frequency, 3,976 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, +49¢ — about midway to C8)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +12¢)

Position in π

The digit sequence 3976 first appears in π at position 4,700 of the decimal expansion (the 4,700ordinal-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 3976 on Pi Search ↗