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4,256

4,256 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.).

4,256 (four thousand two hundred fifty-six) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 19. Its proper divisors sum to 5,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10A0.

Abundant Number Arithmetic Number Octagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
240
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
6,524
Recamán's sequence
a(28,664) = 4,256
Square (n²)
18,113,536
Cube (n³)
77,091,209,216
Divisor count
24
σ(n) — sum of divisors
10,080
φ(n) — Euler's totient
1,728
Sum of prime factors
36

Primality

Prime factorization: 2 5 × 7 × 19

Nearest primes: 4,253 (−3) · 4,259 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 19 · 28 · 32 · 38 · 56 · 76 · 112 · 133 · 152 · 224 · 266 · 304 · 532 · 608 · 1064 · 2128 (half) · 4256
Aliquot sum (sum of proper divisors): 5,824
Factor pairs (a × b = 4,256)
1 × 4256
2 × 2128
4 × 1064
7 × 608
8 × 532
14 × 304
16 × 266
19 × 224
28 × 152
32 × 133
38 × 112
56 × 76
First multiples
4,256 · 8,512 (double) · 12,768 · 17,024 · 21,280 · 25,536 · 29,792 · 34,048 · 38,304 · 42,560

Sums & aliquot sequence

As consecutive integers: 605 + 606 + … + 611 215 + 216 + … + 233 35 + 36 + … + 98
Aliquot sequence: 4,256 5,824 8,400 22,352 25,264 23,716 29,351 4,849 387 185 43 1 0 — terminates at zero

Continued fraction of √n

√4,256 = [65; (4, 4, 1, 31, 1, 4, 4, 130)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four thousand two hundred fifty-six
Ordinal
4256th
Binary
1000010100000
Octal
10240
Hexadecimal
0x10A0
Base64
EKA=
One's complement
61,279 (16-bit)
Scientific notation
4.256 × 10³
As a duration
4,256 s = 1 hour, 10 minutes, 56 seconds
In other bases
ternary (3) 12211122
quaternary (4) 1002200
quinary (5) 114011
senary (6) 31412
septenary (7) 15260
nonary (9) 5748
undecimal (11) 321a
duodecimal (12) 2568
tridecimal (13) 1c25
tetradecimal (14) 17a0
pentadecimal (15) 13db

As an angle

4,256° = 11 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δσνϛʹ
Mayan (base 20)
𝋪·𝋬·𝋰
Chinese
四千二百五十六
Chinese (financial)
肆仟貳佰伍拾陸
In other modern scripts
Eastern Arabic ٤٢٥٦ Devanagari ४२५६ Bengali ৪২৫৬ Tamil ௪௨௫௬ Thai ๔๒๕๖ Tibetan ༤༢༥༦ Khmer ៤២៥៦ Lao ໔໒໕໖ Burmese ၄၂၅၆

Digit at this position in famous constants

π — Pi (π)
Digit 4,256 = 0
e — Euler's number (e)
Digit 4,256 = 0
φ — Golden ratio (φ)
Digit 4,256 = 2
√2 — Pythagoras's (√2)
Digit 4,256 = 6
ln 2 — Natural log of 2
Digit 4,256 = 0
γ — Euler-Mascheroni (γ)
Digit 4,256 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4256, here are decompositions:

  • 3 + 4253 = 4256
  • 13 + 4243 = 4256
  • 37 + 4219 = 4256
  • 79 + 4177 = 4256
  • 97 + 4159 = 4256
  • 103 + 4153 = 4256
  • 127 + 4129 = 4256
  • 157 + 4099 = 4256

Showing the first eight; more decompositions exist.

Unicode codepoint
Georgian Capital Letter An
U+10A0
Uppercase letter (Lu)

UTF-8 encoding: E1 82 A0 (3 bytes).

Hex color
#0010A0
RGB(0, 16, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.160.

Address
0.0.16.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.160

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

Musical pitch

Heard as a frequency, 4,256 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +29¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -34¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +30¢)
Position in π

The digit sequence 4256 first appears in π at position 1,749 of the decimal expansion (the 1,749ordinal-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.