Live analysis

8,241

8,241 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.).

8,241 (eight thousand two hundred forty-one) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 41 × 67. Written other ways, in hexadecimal, 0x2031.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

8,229 8,230 8,231 8,232 8,233 8,234 8,235 8,236 8,237 8,238 8,239 8,240 8,241 8,242 8,243 8,244 8,245 8,246 8,247 8,248 8,249 8,250 8,251 8,252 8,253

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 15
Digit product: 64
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 1,428
Recamán's sequence: a(10,285) = 8,241
Square (n²): 67,914,081
Cube (n³): 559,679,941,521
Divisor count: 8
σ(n) — sum of divisors: 11,424
φ(n) — Euler's totient: 5,280
Sum of prime factors: 111

Primality

Prime factorization: 3 × 41 × 67

Nearest primes: 8,237 (−4) · 8,243 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 41 · 67 · 123 · 201 · 2747 · 8241

Aliquot sum (sum of proper divisors): 3,183

Factor pairs (a × b = 8,241)

1 × 8241

3 × 2747

41 × 201

67 × 123

First multiples

8,241 · 16,482 (double) · 24,723 · 32,964 · 41,205 · 49,446 · 57,687 · 65,928 · 74,169 · 82,410

Sums & aliquot sequence

As consecutive integers: 4,120 + 4,121 2,746 + 2,747 + 2,748 1,371 + 1,372 + 1,373 + 1,374 + 1,375 + 1,376 181 + 182 + … + 221

Aliquot sequence: 8,241 → 3,183 → 1,065 → 663 → 345 → 231 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√8,241 = [90; (1, 3, 1, 1, 5, 8, 2, 6, 1, 3, 1, 3, 1, 2, 1, 10, 1, 1, 1, 1, 2, 1, 21, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: eight thousand two hundred forty-one
Ordinal: 8241st
Binary: 10000000110001
Octal: 20061
Hexadecimal: 0x2031
Base64: IDE=
One's complement: 57,294 (16-bit)
Scientific notation: 8.241 × 10³
As a duration: 8,241 s = 2 hours, 17 minutes, 21 seconds

In other bases

ternary (3) 102022020

quaternary (4) 2000301

quinary (5) 230431

senary (6) 102053

septenary (7) 33012

nonary (9) 12266

undecimal (11) 6212

duodecimal (12) 4929

tridecimal (13) 399c

tetradecimal (14) 3009

pentadecimal (15) 2696

As an angle

8,241° = 22 × 360° + 321°

321° ≈ 5.603 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ησμαʹ
Mayan (base 20): 𝋡·𝋠·𝋬·𝋡
Chinese: 八千二百四十一
Chinese (financial): 捌仟貳佰肆拾壹

In other modern scripts

Eastern Arabic ٨٢٤١ Devanagari ८२४१ Bengali ৮২৪১ Tamil ௮௨௪௧ Thai ๘๒๔๑ Tibetan ༨༢༤༡ Khmer ៨២៤១ Lao ໘໒໔໑ Burmese ၈၂၄၁

Digit at this position in famous constants

π — Pi (π): Digit 8,241 = 3
e — Euler's number (e): Digit 8,241 = 2
φ — Golden ratio (φ): Digit 8,241 = 8
√2 — Pythagoras's (√2): Digit 8,241 = 2
ln 2 — Natural log of 2: Digit 8,241 = 3
γ — Euler-Mascheroni (γ): Digit 8,241 = 5

Also seen as

Unicode codepoint

‱

Per Ten Thousand Sign

U+2031

Other punctuation (Po)

UTF-8 encoding: E2 80 B1 (3 bytes).

Lookup U+2031 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002031

RGB(0, 32, 49)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.49.

Address: 0.0.32.49
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.32.49

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

Musical pitch

Heard as a frequency, 8,241 Hz is closest to:

Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -27¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +10¢)
Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -26¢)

Position in π

The digit sequence 8241 first appears in π at position 14,488 of the decimal expansion (the 14,488ordinal-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 8241 on Pi Search ↗