Live analysis

4,011

4,011 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.).

4,011 (four thousand eleven) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 7 × 191. Written other ways, in binary, 111110101011.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,999 4,000 4,001 4,002 4,003 4,004 4,005 4,006 4,007 4,008 4,009 4,010 4,011 4,012 4,013 4,014 4,015 4,016 4,017 4,018 4,019 4,020 4,021 4,022 4,023

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 1,104
Recamán's sequence: a(14,369) = 4,011
Square (n²): 16,088,121
Cube (n³): 64,529,453,331
Divisor count: 8
σ(n) — sum of divisors: 6,144
φ(n) — Euler's totient: 2,280
Sum of prime factors: 201

Primality

Prime factorization: 3 × 7 × 191

Nearest primes: 4,007 (−4) · 4,013 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 7 · 21 · 191 · 573 · 1337 · 4011

Aliquot sum (sum of proper divisors): 2,133

Factor pairs (a × b = 4,011)

1 × 4011

3 × 1337

7 × 573

21 × 191

First multiples

4,011 · 8,022 (double) · 12,033 · 16,044 · 20,055 · 24,066 · 28,077 · 32,088 · 36,099 · 40,110

Sums & aliquot sequence

As consecutive integers: 2,005 + 2,006 1,336 + 1,337 + 1,338 666 + 667 + 668 + 669 + 670 + 671 570 + 571 + … + 576

Aliquot sequence: 4,011 → 2,133 → 1,067 → 109 → 1 → 0 — terminates at zero

Continued fraction of √n

√4,011 = [63; (3, 126)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: four thousand eleven
Ordinal: 4011th
Binary: 111110101011
Octal: 7653
Hexadecimal: 0xFAB
Base64: D6s=
One's complement: 61,524 (16-bit)
Scientific notation: 4.011 × 10³
As a duration: 4,011 s = 1 hour, 6 minutes, 51 seconds

In other bases

ternary (3) 12111120

quaternary (4) 332223

quinary (5) 112021

senary (6) 30323

septenary (7) 14460

nonary (9) 5446

undecimal (11) 3017

duodecimal (12) 23a3

tridecimal (13) 1a97

tetradecimal (14) 1667

pentadecimal (15) 12c6

As an angle

4,011° = 11 × 360° + 51°

51° ≈ 0.89 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓏺
Greek (Milesian): ͵διαʹ
Mayan (base 20): 𝋪·𝋠·𝋫
Chinese: 四千零一十一
Chinese (financial): 肆仟零壹拾壹

In other modern scripts

Eastern Arabic ٤٠١١ Devanagari ४०११ Bengali ৪০১১ Tamil ௪௦௧௧ Thai ๔๐๑๑ Tibetan ༤༠༡༡ Khmer ៤០១១ Lao ໔໐໑໑ Burmese ၄၀၁၁

Digit at this position in famous constants

π — Pi (π): Digit 4,011 = 5
e — Euler's number (e): Digit 4,011 = 6
φ — Golden ratio (φ): Digit 4,011 = 4
√2 — Pythagoras's (√2): Digit 4,011 = 2
ln 2 — Natural log of 2: Digit 4,011 = 7
γ — Euler-Mascheroni (γ): Digit 4,011 = 6

Also seen as

Unicode codepoint

ྫ

Tibetan Subjoined Letter Dza

U+0FAB

Non-spacing mark (Mn)

UTF-8 encoding: E0 BE AB (3 bytes).

Lookup U+0FAB on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000FAB

RGB(0, 15, 171)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.171.

Address: 0.0.15.171
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.171

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

Musical pitch

Heard as a frequency, 4,011 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +27¢)

Position in π

The digit sequence 4011 first appears in π at position 3,251 of the decimal expansion (the 3,251ordinal-suffix:st 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 4011 on Pi Search ↗