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4,236

4,236 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.).

4,236 (four thousand two hundred thirty-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 353. Its proper divisors sum to 5,676, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x108C.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
144
Digital root
6
Palindrome
No
Bit width
13 bits
Reversed
6,324
Recamán's sequence
a(1,296) = 4,236
Square (n²)
17,943,696
Cube (n³)
76,009,496,256
Divisor count
12
σ(n) — sum of divisors
9,912
φ(n) — Euler's totient
1,408
Sum of prime factors
360

Primality

Prime factorization: 2 2 × 3 × 353

Nearest primes: 4,231 (−5) · 4,241 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 353 · 706 · 1059 · 1412 · 2118 (half) · 4236
Aliquot sum (sum of proper divisors): 5,676
Factor pairs (a × b = 4,236)
1 × 4236
2 × 2118
3 × 1412
4 × 1059
6 × 706
12 × 353
First multiples
4,236 · 8,472 (double) · 12,708 · 16,944 · 21,180 · 25,416 · 29,652 · 33,888 · 38,124 · 42,360

Sums & aliquot sequence

As consecutive integers: 1,411 + 1,412 + 1,413 526 + 527 + … + 533 165 + 166 + … + 188
Aliquot sequence: 4,236 5,676 9,108 17,100 39,320 49,240 61,640 85,240 106,640 155,248 156,240 462,768 775,248 1,296,048 2,481,488 2,482,480 5,517,008 — unresolved within range

Continued fraction of √n

√4,236 = [65; (11, 1, 4, 1, 2, 1, 7, 1, 15, 2, 1, 1, 2, 5, 1, 4, 2, 1, 3, 32, 3, 1, 2, 4, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
four thousand two hundred thirty-six
Ordinal
4236th
Binary
1000010001100
Octal
10214
Hexadecimal
0x108C
Base64
EIw=
One's complement
61,299 (16-bit)
Scientific notation
4.236 × 10³
As a duration
4,236 s = 1 hour, 10 minutes, 36 seconds
In other bases
ternary (3) 12210220
quaternary (4) 1002030
quinary (5) 113421
senary (6) 31340
septenary (7) 15231
nonary (9) 5726
undecimal (11) 3201
duodecimal (12) 2550
tridecimal (13) 1c0b
tetradecimal (14) 1788
pentadecimal (15) 13c6

As an angle

4,236° = 11 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δσλϛʹ
Mayan (base 20)
𝋪·𝋫·𝋰
Chinese
四千二百三十六
Chinese (financial)
肆仟貳佰參拾陸
In other modern scripts
Eastern Arabic ٤٢٣٦ Devanagari ४२३६ Bengali ৪২৩৬ Tamil ௪௨௩௬ Thai ๔๒๓๖ Tibetan ༤༢༣༦ Khmer ៤២៣៦ Lao ໔໒໓໖ Burmese ၄၂၃၆

Digit at this position in famous constants

π — Pi (π)
Digit 4,236 = 3
e — Euler's number (e)
Digit 4,236 = 8
φ — Golden ratio (φ)
Digit 4,236 = 1
√2 — Pythagoras's (√2)
Digit 4,236 = 3
ln 2 — Natural log of 2
Digit 4,236 = 7
γ — Euler-Mascheroni (γ)
Digit 4,236 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4236, here are decompositions:

  • 5 + 4231 = 4236
  • 7 + 4229 = 4236
  • 17 + 4219 = 4236
  • 19 + 4217 = 4236
  • 59 + 4177 = 4236
  • 79 + 4157 = 4236
  • 83 + 4153 = 4236
  • 97 + 4139 = 4236

Showing the first eight; more decompositions exist.

Unicode codepoint
Myanmar Sign Shan Council Tone-3
U+108C
Spacing combining mark (Mc)

UTF-8 encoding: E1 82 8C (3 bytes).

Hex color
#00108C
RGB(0, 16, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.140.

Address
0.0.16.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.140

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

Musical pitch

Heard as a frequency, 4,236 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +21¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -42¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +22¢)
Position in π

The digit sequence 4236 first appears in π at position 7,480 of the decimal expansion (the 7,480ordinal-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°.