Live analysis

4,090

4,090 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.).

4,090 (four thousand ninety) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 409. Written other ways, in binary, 111111111010.

Cake Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Self Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

4,078 4,079 4,080 4,081 4,082 4,083 4,084 4,085 4,086 4,087 4,088 4,089 4,090 4,091 4,092 4,093 4,094 4,095 4,096 4,097 4,098 4,099 4,100 4,101 4,102

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 904
Recamán's sequence: a(14,211) = 4,090
Square (n²): 16,728,100
Cube (n³): 68,417,929,000
Divisor count: 8
σ(n) — sum of divisors: 7,380
φ(n) — Euler's totient: 1,632
Sum of prime factors: 416

Primality

Prime factorization: 2 × 5 × 409

Nearest primes: 4,079 (−11) · 4,091 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 5 · 10 · 409 · 818 · 2045 (half) · 4090

Aliquot sum (sum of proper divisors): 3,290

Factor pairs (a × b = 4,090)

1 × 4090

2 × 2045

5 × 818

10 × 409

First multiples

4,090 · 8,180 (double) · 12,270 · 16,360 · 20,450 · 24,540 · 28,630 · 32,720 · 36,810 · 40,900

Sums & aliquot sequence

As a sum of two squares: 11² + 63² = 29² + 57²

As consecutive integers: 1,021 + 1,022 + 1,023 + 1,024 816 + 817 + 818 + 819 + 820 195 + 196 + … + 214

Aliquot sequence: 4,090 → 3,290 → 3,622 → 1,814 → 910 → 1,106 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 — unresolved within range

Continued fraction of √n

√4,090 = [63; (1, 20, 3, 13, 1, 7, 1, 1, 2, 12, 2, 1, 1, 7, 1, 13, 3, 20, 1, 126)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: four thousand ninety
Ordinal: 4090th
Binary: 111111111010
Octal: 7772
Hexadecimal: 0xFFA
Base64: D/o=
One's complement: 61,445 (16-bit)
Scientific notation: 4.09 × 10³
As a duration: 4,090 s = 1 hour, 8 minutes, 10 seconds

In other bases

ternary (3) 12121111

quaternary (4) 333322

quinary (5) 112330

senary (6) 30534

septenary (7) 14632

nonary (9) 5544

undecimal (11) 3089

duodecimal (12) 244a

tridecimal (13) 1b28

tetradecimal (14) 16c2

pentadecimal (15) 132a

As an angle

4,090° = 11 × 360° + 130°

130° ≈ 2.269 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δϟʹ
Mayan (base 20): 𝋪·𝋤·𝋪
Chinese: 四千零九十
Chinese (financial): 肆仟零玖拾

In other modern scripts

Eastern Arabic ٤٠٩٠ Devanagari ४०९० Bengali ৪০৯০ Tamil ௪௦௯௦ Thai ๔๐๙๐ Tibetan ༤༠༩༠ Khmer ៤០៩០ Lao ໔໐໙໐ Burmese ၄၀၉၀

Digit at this position in famous constants

π — Pi (π): Digit 4,090 = 6
e — Euler's number (e): Digit 4,090 = 0
φ — Golden ratio (φ): Digit 4,090 = 0
√2 — Pythagoras's (√2): Digit 4,090 = 6
ln 2 — Natural log of 2: Digit 4,090 = 7
γ — Euler-Mascheroni (γ): Digit 4,090 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4090, here are decompositions:

11 + 4079 = 4090
17 + 4073 = 4090
41 + 4049 = 4090
71 + 4019 = 4090
83 + 4007 = 4090
89 + 4001 = 4090
101 + 3989 = 4090
167 + 3923 = 4090

Showing the first eight; more decompositions exist.

Hex color

#000FFA

RGB(0, 15, 250)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.250.

Address: 0.0.15.250
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.250

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

Musical pitch

Heard as a frequency, 4,090 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -40¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -3¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -39¢)

Position in π

The digit sequence 4090 first appears in π at position 656 of the decimal expansion (the 656ordinal-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 4090 on Pi Search ↗