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4,368

4,368 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.).

4,368 (four thousand three hundred sixty-eight) is an even 4-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 13. Its proper divisors sum to 9,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1110.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
13 bits
Reversed
8,634
Recamán's sequence
a(13,971) = 4,368
Square (n²)
19,079,424
Cube (n³)
83,338,924,032
Divisor count
40
σ(n) — sum of divisors
13,888
φ(n) — Euler's totient
1,152
Sum of prime factors
31

Primality

Prime factorization: 2 4 × 3 × 7 × 13

Nearest primes: 4,363 (−5) · 4,373 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 13 · 14 · 16 · 21 · 24 · 26 · 28 · 39 · 42 · 48 · 52 · 56 · 78 · 84 · 91 · 104 · 112 · 156 · 168 · 182 · 208 · 273 · 312 · 336 · 364 · 546 · 624 · 728 · 1092 · 1456 · 2184 (half) · 4368
Aliquot sum (sum of proper divisors): 9,520
Factor pairs (a × b = 4,368)
1 × 4368
2 × 2184
3 × 1456
4 × 1092
6 × 728
7 × 624
8 × 546
12 × 364
13 × 336
14 × 312
16 × 273
21 × 208
24 × 182
26 × 168
28 × 156
39 × 112
42 × 104
48 × 91
52 × 84
56 × 78
First multiples
4,368 · 8,736 (double) · 13,104 · 17,472 · 21,840 · 26,208 · 30,576 · 34,944 · 39,312 · 43,680

Sums & aliquot sequence

As consecutive integers: 1,455 + 1,456 + 1,457 621 + 622 + … + 627 330 + 331 + … + 342 198 + 199 + … + 218
Aliquot sequence: 4,368 9,520 17,264 19,192 16,808 17,752 20,408 17,872 16,786 14,894 9,514 5,174 3,226 1,616 1,546 776 694 — unresolved within range

Continued fraction of √n

√4,368 = [66; (11, 132)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four thousand three hundred sixty-eight
Ordinal
4368th
Binary
1000100010000
Octal
10420
Hexadecimal
0x1110
Base64
ERA=
One's complement
61,167 (16-bit)
Scientific notation
4.368 × 10³
As a duration
4,368 s = 1 hour, 12 minutes, 48 seconds
In other bases
ternary (3) 12222210
quaternary (4) 1010100
quinary (5) 114433
senary (6) 32120
septenary (7) 15510
nonary (9) 5883
undecimal (11) 3311
duodecimal (12) 2640
tridecimal (13) 1cb0
tetradecimal (14) 1840
pentadecimal (15) 1463

As an angle

4,368° = 12 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δτξηʹ
Mayan (base 20)
𝋪·𝋲·𝋨
Chinese
四千三百六十八
Chinese (financial)
肆仟參佰陸拾捌
In other modern scripts
Eastern Arabic ٤٣٦٨ Devanagari ४३६८ Bengali ৪৩৬৮ Tamil ௪௩௬௮ Thai ๔๓๖๘ Tibetan ༤༣༦༨ Khmer ៤៣៦៨ Lao ໔໓໖໘ Burmese ၄၃၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 4,368 = 0
e — Euler's number (e)
Digit 4,368 = 7
φ — Golden ratio (φ)
Digit 4,368 = 6
√2 — Pythagoras's (√2)
Digit 4,368 = 1
ln 2 — Natural log of 2
Digit 4,368 = 0
γ — Euler-Mascheroni (γ)
Digit 4,368 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4368, here are decompositions:

  • 5 + 4363 = 4368
  • 11 + 4357 = 4368
  • 19 + 4349 = 4368
  • 29 + 4339 = 4368
  • 31 + 4337 = 4368
  • 41 + 4327 = 4368
  • 71 + 4297 = 4368
  • 79 + 4289 = 4368

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Choseong Thieuth
U+1110
Other letter (Lo)

UTF-8 encoding: E1 84 90 (3 bytes).

Hex color
#001110
RGB(0, 17, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.16.

Address
0.0.17.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.17.16

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

Musical pitch

Heard as a frequency, 4,368 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -26¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +11¢)
  • Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -25¢)
Position in π

The digit sequence 4368 first appears in π at position 15,419 of the decimal expansion (the 15,419ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.