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

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

Representations

In words
four thousand eighty
Ordinal
4080th
Binary
111111110000
Octal
7760
Hexadecimal
0xFF0
Base64
D/A=
One's complement
61,455 (16-bit)
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

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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000004080
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up on FedACH (official) ↗ Search Google for routing number 000004080 ↗
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 ↗