Live analysis

4,014

4,014 is a composite number, even.

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.).

4,014 (four thousand fourteen) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 223. Its proper divisors sum to 4,722, more than the number itself, making it an abundant number. Written other ways, in binary, 111110101110.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 4,024 4,025 4,026

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 4,104
Recamán's sequence: a(14,363) = 4,014
Square (n²): 16,112,196
Cube (n³): 64,674,354,744
Divisor count: 12
σ(n) — sum of divisors: 8,736
φ(n) — Euler's totient: 1,332
Sum of prime factors: 231

Primality

Prime factorization: 2 × 3 ² × 223

Nearest primes: 4,013 (−1) · 4,019 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 223 · 446 · 669 · 1338 · 2007 (half) · 4014

Aliquot sum (sum of proper divisors): 4,722

Factor pairs (a × b = 4,014)

1 × 4014

2 × 2007

3 × 1338

6 × 669

9 × 446

18 × 223

First multiples

4,014 · 8,028 (double) · 12,042 · 16,056 · 20,070 · 24,084 · 28,098 · 32,112 · 36,126 · 40,140

Sums & aliquot sequence

As consecutive integers: 1,337 + 1,338 + 1,339 1,002 + 1,003 + 1,004 + 1,005 442 + 443 + … + 450 329 + 330 + … + 340

Aliquot sequence: 4,014 → 4,722 → 4,734 → 5,562 → 6,918 → 6,930 → 15,534 → 18,162 → 21,228 → 30,852 → 47,226 → 52,998 → 65,106 → 75,996 → 116,196 → 167,388 → 279,492 — unresolved within range

Continued fraction of √n

√4,014 = [63; (2, 1, 4, 4, 1, 5, 1, 6, 5, 2, 1, 3, 25, 14, 25, 3, 1, 2, 5, 6, 1, 5, 1, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: four thousand fourteen
Ordinal: 4014th
Binary: 111110101110
Octal: 7656
Hexadecimal: 0xFAE
Base64: D64=
One's complement: 61,521 (16-bit)
Scientific notation: 4.014 × 10³
As a duration: 4,014 s = 1 hour, 6 minutes, 54 seconds

In other bases

ternary (3) 12111200

quaternary (4) 332232

quinary (5) 112024

senary (6) 30330

septenary (7) 14463

nonary (9) 5450

undecimal (11) 301a

duodecimal (12) 23a6

tridecimal (13) 1a9a

tetradecimal (14) 166a

pentadecimal (15) 12c9

As an angle

4,014° = 11 × 360° + 54°

54° ≈ 0.942 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵διδʹ
Mayan (base 20): 𝋪·𝋠·𝋮
Chinese: 四千零一十四
Chinese (financial): 肆仟零壹拾肆

In other modern scripts

Eastern Arabic ٤٠١٤ Devanagari ४०१४ Bengali ৪০১৪ Tamil ௪௦௧௪ Thai ๔๐๑๔ Tibetan ༤༠༡༤ Khmer ៤០១៤ Lao ໔໐໑໔ Burmese ၄၀၁၄

Digit at this position in famous constants

π — Pi (π): Digit 4,014 = 1
e — Euler's number (e): Digit 4,014 = 0
φ — Golden ratio (φ): Digit 4,014 = 8
√2 — Pythagoras's (√2): Digit 4,014 = 1
ln 2 — Natural log of 2: Digit 4,014 = 1
γ — Euler-Mascheroni (γ): Digit 4,014 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4014, here are decompositions:

7 + 4007 = 4014
11 + 4003 = 4014
13 + 4001 = 4014
47 + 3967 = 4014
67 + 3947 = 4014
71 + 3943 = 4014
83 + 3931 = 4014
97 + 3917 = 4014

Showing the first eight; more decompositions exist.

Unicode codepoint

ྮ

Tibetan Subjoined Letter Zha

U+0FAE

Non-spacing mark (Mn)

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

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

Hex color

#000FAE

RGB(0, 15, 174)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.174.

Address: 0.0.15.174
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.174

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

Musical pitch

Heard as a frequency, 4,014 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +27¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -35¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +29¢)

Position in π

The digit sequence 4014 first appears in π at position 2,664 of the decimal expansion (the 2,664ordinal-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 4014 on Pi Search ↗