Live analysis

3,676

3,676 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.).

3,676 (three thousand six hundred seventy-six) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 919. Written other ways, in Roman numerals it is MMMDCLXXVI and in binary, 111001011100.

Centered Triangular Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

3,664 3,665 3,666 3,667 3,668 3,669 3,670 3,671 3,672 3,673 3,674 3,675 3,676 3,677 3,678 3,679 3,680 3,681 3,682 3,683 3,684 3,685 3,686 3,687 3,688

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 22
Digit product: 756
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 6,763
Recamán's sequence: a(29,124) = 3,676
Square (n²): 13,512,976
Cube (n³): 49,673,699,776
Divisor count: 6
σ(n) — sum of divisors: 6,440
φ(n) — Euler's totient: 1,836
Sum of prime factors: 923

Primality

Prime factorization: 2 ² × 919

Nearest primes: 3,673 (−3) · 3,677 (+1)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 919 · 1838 (half) · 3676

Aliquot sum (sum of proper divisors): 2,764

Factor pairs (a × b = 3,676)

1 × 3676

2 × 1838

4 × 919

First multiples

3,676 · 7,352 (double) · 11,028 · 14,704 · 18,380 · 22,056 · 25,732 · 29,408 · 33,084 · 36,760

Sums & aliquot sequence

As consecutive integers: 456 + 457 + … + 463

Aliquot sequence: 3,676 → 2,764 → 2,080 → 3,212 → 3,004 → 2,260 → 2,528 → 2,512 → 2,386 → 1,196 → 1,156 → 993 → 335 → 73 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,676 = [60; (1, 1, 1, 2, 2, 1, 2, 1, 3, 5, 1, 1, 39, 1, 7, 9, 4, 1, 16, 1, 1, 12, 1, 23, …)]

Representations

In words: three thousand six hundred seventy-six
Ordinal: 3676th
Roman numeral: MMMDCLXXVI
Binary: 111001011100
Octal: 7134
Hexadecimal: 0xE5C
Base64: Dlw=
One's complement: 61,859 (16-bit)
Scientific notation: 3.676 × 10³
As a duration: 3,676 s = 1 hour, 1 minute, 16 seconds

In other bases

ternary (3) 12001011

quaternary (4) 321130

quinary (5) 104201

senary (6) 25004

septenary (7) 13501

nonary (9) 5034

undecimal (11) 2842

duodecimal (12) 2164

tridecimal (13) 189a

tetradecimal (14) 14a8

pentadecimal (15) 1151

As an angle

3,676° = 10 × 360° + 76°

76° ≈ 1.326 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γχοϛʹ
Mayan (base 20): 𝋩·𝋣·𝋰
Chinese: 三千六百七十六
Chinese (financial): 參仟陸佰柒拾陸

In other modern scripts

Eastern Arabic ٣٦٧٦ Devanagari ३६७६ Bengali ৩৬৭৬ Tamil ௩௬௭௬ Thai ๓๖๗๖ Tibetan ༣༦༧༦ Khmer ៣៦៧៦ Lao ໓໖໗໖ Burmese ၃၆၇၆

Digit at this position in famous constants

π — Pi (π): Digit 3,676 = 4
e — Euler's number (e): Digit 3,676 = 1
φ — Golden ratio (φ): Digit 3,676 = 8
√2 — Pythagoras's (√2): Digit 3,676 = 4
ln 2 — Natural log of 2: Digit 3,676 = 9
γ — Euler-Mascheroni (γ): Digit 3,676 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3676, here are decompositions:

3 + 3673 = 3676
5 + 3671 = 3676
17 + 3659 = 3676
53 + 3623 = 3676
59 + 3617 = 3676
83 + 3593 = 3676
137 + 3539 = 3676
149 + 3527 = 3676

Showing the first eight; more decompositions exist.

Hex color

#000E5C

RGB(0, 14, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.92.

Address: 0.0.14.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.92

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

Musical pitch

Heard as a frequency, 3,676 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -25¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +13¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -24¢)

Position in π

The digit sequence 3676 first appears in π at position 36,005 of the decimal expansion (the 36,005ordinal-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 3676 on Pi Search ↗