Number

2,251

2,251 is a prime, odd.

2,251 (two thousand two hundred fifty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMCCLI and in binary, 100011001011.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

2,239 2,240 2,241 2,242 2,243 2,244 2,245 2,246 2,247 2,248 2,249 2,250 2,251 2,252 2,253 2,254 2,255 2,256 2,257 2,258 2,259 2,260 2,261 2,262 2,263

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 10
Digit product: 20
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 1,522
Recamán's sequence: a(3,249) = 2,251
Square (n²): 5,067,001
Cube (n³): 11,405,819,251
Divisor count: 2
σ(n) — sum of divisors: 2,252
φ(n) — Euler's totient: 2,250

Primality

2,251 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 2251

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 2,251)

1 × 2251

First multiples

2,251 · 4,502 (double) · 6,753 · 9,004 · 11,255 · 13,506 · 15,757 · 18,008 · 20,259 · 22,510

Sums & aliquot sequence

As consecutive integers: 1,125 + 1,126

Continued fraction of √n

√2,251 = [47; (2, 4, 47, 4, 2, 94)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: two thousand two hundred fifty-one
Ordinal: 2251st
Roman numeral: MMCCLI
Binary: 100011001011
Octal: 4313
Hexadecimal: 0x8CB
Base64: CMs=
One's complement: 63,284 (16-bit)
Scientific notation: 2.251 × 10³
As a duration: 2,251 s = 37 minutes, 31 seconds

In other bases

ternary (3) 10002101

quaternary (4) 203023

quinary (5) 33001

senary (6) 14231

septenary (7) 6364

nonary (9) 3071

undecimal (11) 1767

duodecimal (12) 1377

tridecimal (13) 1042

tetradecimal (14) b6b

pentadecimal (15) a01

Palindromic in base 14

As an angle

2,251° = 6 × 360° + 91°

91° ≈ 1.588 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵βσναʹ
Mayan (base 20): 𝋥·𝋬·𝋫
Chinese: 二千二百五十一
Chinese (financial): 貳仟貳佰伍拾壹

In other modern scripts

Eastern Arabic ٢٢٥١ Devanagari २२५१ Bengali ২২৫১ Tamil ௨௨௫௧ Thai ๒๒๕๑ Tibetan ༢༢༥༡ Khmer ២២៥១ Lao ໒໒໕໑ Burmese ၂၂၅၁

Digit at this position in famous constants

π — Pi (π): Digit 2,251 = 0
e — Euler's number (e): Digit 2,251 = 9
φ — Golden ratio (φ): Digit 2,251 = 3
√2 — Pythagoras's (√2): Digit 2,251 = 6
ln 2 — Natural log of 2: Digit 2,251 = 5
γ — Euler-Mascheroni (γ): Digit 2,251 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 2,243 (gap of 8)
Next prime: 2,267 (gap of 16)

Unicode codepoint

࣋

Arabic Small High Yeh Barree With Two Dots Below

U+08CB

Non-spacing mark (Mn)

UTF-8 encoding: E0 A3 8B (3 bytes).

Lookup U+08CB on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0008CB

RGB(0, 8, 203)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.203.

Address: 0.0.8.203
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.203

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

Musical pitch

Heard as a frequency, 2,251 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, +27¢)

Position in π

The digit sequence 2251 first appears in π at position 1,840 of the decimal expansion (the 1,840ordinal-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.

Look up 2251 on Pi Search ↗