Live analysis

2,241

2,241 is a composite number, odd.

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.).

2,241 (two thousand two hundred forty-one) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3³ × 83. Written other ways, in Roman numerals it is MMCCXLI and in binary, 100011000001.

Arithmetic Number Deficient Number Evil Number Harshad / Niven Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

2,229 2,230 2,231 2,232 2,233 2,234 2,235 2,236 2,237 2,238 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

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 9
Digit product: 16
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 1,422
Recamán's sequence: a(3,269) = 2,241
Square (n²): 5,022,081
Cube (n³): 11,254,483,521
Divisor count: 8
σ(n) — sum of divisors: 3,360
φ(n) — Euler's totient: 1,476
Sum of prime factors: 92

Primality

Prime factorization: 3 ³ × 83

Nearest primes: 2,239 (−2) · 2,243 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 9 · 27 · 83 · 249 · 747 · 2241

Aliquot sum (sum of proper divisors): 1,119

Factor pairs (a × b = 2,241)

1 × 2241

3 × 747

9 × 249

27 × 83

First multiples

2,241 · 4,482 (double) · 6,723 · 8,964 · 11,205 · 13,446 · 15,687 · 17,928 · 20,169 · 22,410

Sums & aliquot sequence

As consecutive integers: 1,120 + 1,121 746 + 747 + 748 371 + 372 + 373 + 374 + 375 + 376 245 + 246 + … + 253

Aliquot sequence: 2,241 → 1,119 → 377 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,241 = [47; (2, 1, 18, 3, 1, 2, 1, 3, 18, 1, 2, 94)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: two thousand two hundred forty-one
Ordinal: 2241st
Roman numeral: MMCCXLI
Binary: 100011000001
Octal: 4301
Hexadecimal: 0x8C1
Base64: CME=
One's complement: 63,294 (16-bit)
Scientific notation: 2.241 × 10³
As a duration: 2,241 s = 37 minutes, 21 seconds

In other bases

ternary (3) 10002000

quaternary (4) 203001

quinary (5) 32431

senary (6) 14213

septenary (7) 6351

nonary (9) 3060

undecimal (11) 1758

duodecimal (12) 1369

tridecimal (13) 1035

tetradecimal (14) b61

pentadecimal (15) 9e6

As an angle

2,241° = 6 × 360° + 81°

81° ≈ 1.414 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵βσμαʹ
Mayan (base 20): 𝋥·𝋬·𝋡
Chinese: 二千二百四十一
Chinese (financial): 貳仟貳佰肆拾壹

In other modern scripts

Eastern Arabic ٢٢٤١ Devanagari २२४१ Bengali ২২৪১ Tamil ௨௨௪௧ Thai ๒๒๔๑ Tibetan ༢༢༤༡ Khmer ២២៤១ Lao ໒໒໔໑ Burmese ၂၂၄၁

Digit at this position in famous constants

π — Pi (π): Digit 2,241 = 4
e — Euler's number (e): Digit 2,241 = 6
φ — Golden ratio (φ): Digit 2,241 = 1
√2 — Pythagoras's (√2): Digit 2,241 = 9
ln 2 — Natural log of 2: Digit 2,241 = 3
γ — Euler-Mascheroni (γ): Digit 2,241 = 7

Also seen as

Unicode codepoint

ࣁ

Arabic Letter Tcheh With Small V

U+08C1

Other letter (Lo)

UTF-8 encoding: E0 A3 81 (3 bytes).

Lookup U+08C1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0008C1

RGB(0, 8, 193)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.193.

Address: 0.0.8.193
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.193

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

Musical pitch

Heard as a frequency, 2,241 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, -44¢)
Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, +20¢)

Position in π

The digit sequence 2241 first appears in π at position 4,580 of the decimal expansion (the 4,580ordinal-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 2241 on Pi Search ↗