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4,396

4,396 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.).

4,396 (four thousand three hundred ninety-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 157. Its proper divisors sum to 4,452, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x112C.

Abundant Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
22
Digit product
648
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
6,934
Recamán's sequence
a(13,915) = 4,396
Square (n²)
19,324,816
Cube (n³)
84,951,891,136
Divisor count
12
σ(n) — sum of divisors
8,848
φ(n) — Euler's totient
1,872
Sum of prime factors
168

Primality

Prime factorization: 2 2 × 7 × 157

Nearest primes: 4,391 (−5) · 4,397 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 157 · 314 · 628 · 1099 · 2198 (half) · 4396
Aliquot sum (sum of proper divisors): 4,452
Factor pairs (a × b = 4,396)
1 × 4396
2 × 2198
4 × 1099
7 × 628
14 × 314
28 × 157
First multiples
4,396 · 8,792 (double) · 13,188 · 17,584 · 21,980 · 26,376 · 30,772 · 35,168 · 39,564 · 43,960

Sums & aliquot sequence

As consecutive integers: 625 + 626 + … + 631 546 + 547 + … + 553 51 + 52 + … + 106
Aliquot sequence: 4,396 4,452 7,644 14,700 34,776 80,424 137,586 149,838 194,898 230,478 236,082 371,310 519,906 535,038 688,002 884,670 1,298,658 — unresolved within range

Continued fraction of √n

√4,396 = [66; (3, 3, 3, 1, 43, 2, 3, 3, 2, 1, 1, 14, 6, 1, 10, 5, 4, 1, 2, 1, 1, 32, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
four thousand three hundred ninety-six
Ordinal
4396th
Binary
1000100101100
Octal
10454
Hexadecimal
0x112C
Base64
ESw=
One's complement
61,139 (16-bit)
Scientific notation
4.396 × 10³
As a duration
4,396 s = 1 hour, 13 minutes, 16 seconds
In other bases
ternary (3) 20000211
quaternary (4) 1010230
quinary (5) 120041
senary (6) 32204
septenary (7) 15550
nonary (9) 6024
undecimal (11) 3337
duodecimal (12) 2664
tridecimal (13) 2002
tetradecimal (14) 1860
pentadecimal (15) 1481
Palindromic in base 13

As an angle

4,396° = 12 × 360° + 76°
76° ≈ 1.326 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δτϟϛʹ
Mayan (base 20)
𝋪·𝋳·𝋰
Chinese
四千三百九十六
Chinese (financial)
肆仟參佰玖拾陸
In other modern scripts
Eastern Arabic ٤٣٩٦ Devanagari ४३९६ Bengali ৪৩৯৬ Tamil ௪௩௯௬ Thai ๔๓๙๖ Tibetan ༤༣༩༦ Khmer ៤៣៩៦ Lao ໔໓໙໖ Burmese ၄၃၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 4,396 = 9
e — Euler's number (e)
Digit 4,396 = 1
φ — Golden ratio (φ)
Digit 4,396 = 8
√2 — Pythagoras's (√2)
Digit 4,396 = 3
ln 2 — Natural log of 2
Digit 4,396 = 1
γ — Euler-Mascheroni (γ)
Digit 4,396 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4396, here are decompositions:

  • 5 + 4391 = 4396
  • 23 + 4373 = 4396
  • 47 + 4349 = 4396
  • 59 + 4337 = 4396
  • 107 + 4289 = 4396
  • 113 + 4283 = 4396
  • 137 + 4259 = 4396
  • 167 + 4229 = 4396

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Choseong Kapyeounssangpieup
U+112C
Other letter (Lo)

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

Hex color
#00112C
RGB(0, 17, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.44.

Address
0.0.17.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.17.44

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

Musical pitch

Heard as a frequency, 4,396 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -15¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +22¢)
  • Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -14¢)
Position in π

The digit sequence 4396 first appears in π at position 5,933 of the decimal expansion (the 5,933ordinal-suffix:rd 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