Live analysis

4,080

4,080 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.).

4,080 (four thousand eighty) is an even 4-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 17. Its proper divisors sum to 9,312, more than the number itself, making it an abundant number. Written other ways, in binary, 111111110000.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

4,068 4,069 4,070 4,071 4,072 4,073 4,074 4,075 4,076 4,077 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 804
Recamán's sequence: a(14,231) = 4,080
Square (n²): 16,646,400
Cube (n³): 67,917,312,000
Divisor count: 40
σ(n) — sum of divisors: 13,392
φ(n) — Euler's totient: 1,024
Sum of prime factors: 33

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 17

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

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 30 · 34 · 40 · 48 · 51 · 60 · 68 · 80 · 85 · 102 · 120 · 136 · 170 · 204 · 240 · 255 · 272 · 340 · 408 · 510 · 680 · 816 · 1020 · 1360 · 2040 (half) · 4080

Aliquot sum (sum of proper divisors): 9,312

Factor pairs (a × b = 4,080)

1 × 4080

2 × 2040

3 × 1360

4 × 1020

5 × 816

6 × 680

8 × 510

10 × 408

12 × 340

15 × 272

16 × 255

17 × 240

20 × 204

24 × 170

30 × 136

34 × 120

40 × 102

48 × 85

51 × 80

60 × 68

First multiples

4,080 · 8,160 (double) · 12,240 · 16,320 · 20,400 · 24,480 · 28,560 · 32,640 · 36,720 · 40,800

Sums & aliquot sequence

As consecutive integers: 1,359 + 1,360 + 1,361 814 + 815 + 816 + 817 + 818 265 + 266 + … + 279 232 + 233 + … + 248

Aliquot sequence: 4,080 → 9,312 → 15,384 → 23,136 → 37,848 → 62,952 → 100,728 → 172,272 → 289,504 → 292,616 → 264,184 → 231,176 → 261,304 → 235,496 → 206,074 → 182,726 → 93,298 — unresolved within range

Continued fraction of √n

√4,080 = [63; (1, 6, 1, 126)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: four thousand eighty
Ordinal: 4080th
Binary: 111111110000
Octal: 7760
Hexadecimal: 0xFF0
Base64: D/A=
One's complement: 61,455 (16-bit)
Scientific notation: 4.08 × 10³
As a duration: 4,080 s = 1 hour, 8 minutes

In other bases

ternary (3) 12121010

quaternary (4) 333300

quinary (5) 112310

senary (6) 30520

septenary (7) 14616

nonary (9) 5533

undecimal (11) 307a

duodecimal (12) 2440

tridecimal (13) 1b1b

tetradecimal (14) 16b6

pentadecimal (15) 1320

As an angle

4,080° = 11 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δπʹ
Mayan (base 20): 𝋪·𝋤·𝋠
Chinese: 四千零八十
Chinese (financial): 肆仟零捌拾

In other modern scripts

Eastern Arabic ٤٠٨٠ Devanagari ४०८० Bengali ৪০৮০ Tamil ௪௦௮௦ Thai ๔๐๘๐ Tibetan ༤༠༨༠ Khmer ៤០៨០ Lao ໔໐໘໐ Burmese ၄၀၈၀

Digit at this position in famous constants

π — Pi (π): Digit 4,080 = 2
e — Euler's number (e): Digit 4,080 = 2
φ — Golden ratio (φ): Digit 4,080 = 3
√2 — Pythagoras's (√2): Digit 4,080 = 6
ln 2 — Natural log of 2: Digit 4,080 = 6
γ — Euler-Mascheroni (γ): Digit 4,080 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4080, here are decompositions:

7 + 4073 = 4080
23 + 4057 = 4080
29 + 4051 = 4080
31 + 4049 = 4080
53 + 4027 = 4080
59 + 4021 = 4080
61 + 4019 = 4080
67 + 4013 = 4080

Showing the first eight; more decompositions exist.

Hex color

#000FF0

RGB(0, 15, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.240.

Address: 0.0.15.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.240

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

Musical pitch

Heard as a frequency, 4,080 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -44¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -7¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -43¢)

Position in π

The digit sequence 4080 first appears in π at position 8,502 of the decimal expansion (the 8,502ordinal-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 4080 on Pi Search ↗