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4,292

4,292 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.).

4,292 (four thousand two hundred ninety-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 29 × 37. Written other ways, in hexadecimal, 0x10C4.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
2,924
Recamán's sequence
a(1,356) = 4,292
Square (n²)
18,421,264
Cube (n³)
79,064,065,088
Divisor count
12
σ(n) — sum of divisors
7,980
φ(n) — Euler's totient
2,016
Sum of prime factors
70

Primality

Prime factorization: 2 2 × 29 × 37

Nearest primes: 4,289 (−3) · 4,297 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 29 · 37 · 58 · 74 · 116 · 148 · 1073 · 2146 (half) · 4292
Aliquot sum (sum of proper divisors): 3,688
Factor pairs (a × b = 4,292)
1 × 4292
2 × 2146
4 × 1073
29 × 148
37 × 116
58 × 74
First multiples
4,292 · 8,584 (double) · 12,876 · 17,168 · 21,460 · 25,752 · 30,044 · 34,336 · 38,628 · 42,920

Sums & aliquot sequence

As a sum of two squares: 14² + 64² = 34² + 56²
As consecutive integers: 533 + 534 + … + 540 134 + 135 + … + 162 98 + 99 + … + 134
Aliquot sequence: 4,292 3,688 3,242 1,624 1,976 2,224 2,116 1,755 1,605 987 549 257 1 0 — terminates at zero

Continued fraction of √n

√4,292 = [65; (1, 1, 18, 4, 1, 1, 1, 2, 32, 2, 1, 1, 1, 4, 18, 1, 1, 130)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four thousand two hundred ninety-two
Ordinal
4292nd
Binary
1000011000100
Octal
10304
Hexadecimal
0x10C4
Base64
EMQ=
One's complement
61,243 (16-bit)
Scientific notation
4.292 × 10³
As a duration
4,292 s = 1 hour, 11 minutes, 32 seconds
In other bases
ternary (3) 12212222
quaternary (4) 1003010
quinary (5) 114132
senary (6) 31512
septenary (7) 15341
nonary (9) 5788
undecimal (11) 3252
duodecimal (12) 2598
tridecimal (13) 1c52
tetradecimal (14) 17c8
pentadecimal (15) 1412

As an angle

4,292° = 11 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵δσϟβʹ
Mayan (base 20)
𝋪·𝋮·𝋬
Chinese
四千二百九十二
Chinese (financial)
肆仟貳佰玖拾貳
In other modern scripts
Eastern Arabic ٤٢٩٢ Devanagari ४२९२ Bengali ৪২৯২ Tamil ௪௨௯௨ Thai ๔๒๙๒ Tibetan ༤༢༩༢ Khmer ៤២៩២ Lao ໔໒໙໒ Burmese ၄၂၉၂

Digit at this position in famous constants

π — Pi (π)
Digit 4,292 = 2
e — Euler's number (e)
Digit 4,292 = 3
φ — Golden ratio (φ)
Digit 4,292 = 0
√2 — Pythagoras's (√2)
Digit 4,292 = 9
ln 2 — Natural log of 2
Digit 4,292 = 6
γ — Euler-Mascheroni (γ)
Digit 4,292 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4292, here are decompositions:

  • 3 + 4289 = 4292
  • 19 + 4273 = 4292
  • 31 + 4261 = 4292
  • 61 + 4231 = 4292
  • 73 + 4219 = 4292
  • 139 + 4153 = 4292
  • 163 + 4129 = 4292
  • 181 + 4111 = 4292

Showing the first eight; more decompositions exist.

Unicode codepoint
Georgian Capital Letter Har
U+10C4
Uppercase letter (Lu)

UTF-8 encoding: E1 83 84 (3 bytes).

Hex color
#0010C4
RGB(0, 16, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.196.

Address
0.0.16.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.196

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

Musical pitch

Heard as a frequency, 4,292 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +43¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -19¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +45¢ — about midway to D8)
Position in π

The digit sequence 4292 first appears in π at position 38,612 of the decimal expansion (the 38,612ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.