Live analysis

8,401

8,401 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.).

8,401 (eight thousand four hundred one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 31 × 271. Written other ways, in hexadecimal, 0x20D1.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

8,389 8,390 8,391 8,392 8,393 8,394 8,395 8,396 8,397 8,398 8,399 8,400 8,401 8,402 8,403 8,404 8,405 8,406 8,407 8,408 8,409 8,410 8,411 8,412 8,413

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 1,048
Recamán's sequence: a(2,929) = 8,401
Square (n²): 70,576,801
Cube (n³): 592,915,705,201
Divisor count: 4
σ(n) — sum of divisors: 8,704
φ(n) — Euler's totient: 8,100
Sum of prime factors: 302

Primality

Prime factorization: 31 × 271

Nearest primes: 8,389 (−12) · 8,419 (+18)

Divisors & multiples

All divisors (4)

1 · 31 · 271 · 8401

Aliquot sum (sum of proper divisors): 303

Factor pairs (a × b = 8,401)

1 × 8401

31 × 271

First multiples

8,401 · 16,802 (double) · 25,203 · 33,604 · 42,005 · 50,406 · 58,807 · 67,208 · 75,609 · 84,010

Sums & aliquot sequence

As consecutive integers: 4,200 + 4,201 256 + 257 + … + 286 105 + 106 + … + 166

Aliquot sequence: 8,401 → 303 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√8,401 = [91; (1, 1, 1, 10, 1, 3, 1, 3, 1, 2, 13, 1, 2, 1, 7, 1, 60, 4, 1, 1, 3, 3, 1, 3, …)]

Representations

In words: eight thousand four hundred one
Ordinal: 8401st
Binary: 10000011010001
Octal: 20321
Hexadecimal: 0x20D1
Base64: INE=
One's complement: 57,134 (16-bit)
Scientific notation: 8.401 × 10³
As a duration: 8,401 s = 2 hours, 20 minutes, 1 second

In other bases

ternary (3) 102112011

quaternary (4) 2003101

quinary (5) 232101

senary (6) 102521

septenary (7) 33331

nonary (9) 12464

undecimal (11) 6348

duodecimal (12) 4a41

tridecimal (13) 3a93

tetradecimal (14) 30c1

pentadecimal (15) 2751

As an angle

8,401° = 23 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵ηυαʹ
Mayan (base 20): 𝋡·𝋡·𝋠·𝋡
Chinese: 八千四百零一
Chinese (financial): 捌仟肆佰零壹

In other modern scripts

Eastern Arabic ٨٤٠١ Devanagari ८४०१ Bengali ৮৪০১ Tamil ௮௪௦௧ Thai ๘๔๐๑ Tibetan ༨༤༠༡ Khmer ៨៤០១ Lao ໘໔໐໑ Burmese ၈၄၀၁

Digit at this position in famous constants

π — Pi (π): Digit 8,401 = 8
e — Euler's number (e): Digit 8,401 = 5
φ — Golden ratio (φ): Digit 8,401 = 4
√2 — Pythagoras's (√2): Digit 8,401 = 0
ln 2 — Natural log of 2: Digit 8,401 = 8
γ — Euler-Mascheroni (γ): Digit 8,401 = 7

Also seen as

Unicode codepoint

⃑

Combining Right Harpoon Above

U+20D1

Non-spacing mark (Mn)

UTF-8 encoding: E2 83 91 (3 bytes).

Lookup U+20D1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0020D1

RGB(0, 32, 209)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.209.

Address: 0.0.32.209
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.32.209

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

Musical pitch

Heard as a frequency, 8,401 Hz is closest to:

Concert pitch (A4 = 440 Hz): C9 (8372 Hz, +6¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +44¢)
Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, +7¢)

Position in π

The digit sequence 8401 first appears in π at position 14,612 of the decimal expansion (the 14,612ordinal-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.

Look up 8401 on Pi Search ↗