Number
4,013
4,013 is a prime, odd.
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 3,104
- Recamán's sequence
- a(14,365) = 4,013
- Square (n²)
- 16,104,169
- Cube (n³)
- 64,626,030,197
- Divisor count
- 2
- σ(n) — sum of divisors
- 4,014
- φ(n) — Euler's totient
- 4,012
Primality
4,013 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Aliquot sum (sum of proper divisors):
1
First multiples
Sums & aliquot sequence
As a sum of two squares:
13² + 62²
As consecutive integers:
2,006 + 2,007
Representations
- In words
- four thousand thirteen
- Ordinal
- 4013th
- Binary
- 111110101101
- Octal
- 7655
- Hexadecimal
- 0xFAD
- Base64
- D60=
- One's complement
- 61,522 (16-bit)
In other bases
ternary (3)
12111122
quaternary (4)
332231
quinary (5)
112023
senary (6)
30325
septenary (7)
14462
nonary (9)
5448
undecimal (11)
3019
duodecimal (12)
23a5
tridecimal (13)
1a99
tetradecimal (14)
1669
pentadecimal (15)
12c8
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵διγʹ
- Mayan (base 20)
- 𝋪·𝋠·𝋭
- Chinese
- 四千零一十三
- Chinese (financial)
- 肆仟零壹拾參
In other modern scripts
Eastern Arabic
٤٠١٣
Devanagari
४०१३
Bengali
৪০১৩
Tamil
௪௦௧௩
Thai
๔๐๑๓
Tibetan
༤༠༡༣
Khmer
៤០១៣
Lao
໔໐໑໓
Burmese
၄၀၁၃
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,013 = 7
- e — Euler's number (e)
- Digit 4,013 = 7
- φ — Golden ratio (φ)
- Digit 4,013 = 6
- √2 — Pythagoras's (√2)
- Digit 4,013 = 2
- ln 2 — Natural log of 2
- Digit 4,013 = 1
- γ — Euler-Mascheroni (γ)
- Digit 4,013 = 0
Also seen as
Prime neighborhood
Unicode codepoint
ྭ
Tibetan Subjoined Letter Wa
U+0FAD
Non-spacing mark (Mn)
UTF-8 encoding: E0 BE AD (3 bytes).
Hex color
#000FAD
RGB(0, 15, 173)
IPv4 address
As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.173.
- Address
- 0.0.15.173
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.15.173
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Position in π
The digit sequence 4013 first appears in π at position 2,078 of the decimal expansion (the 2,078ordinal-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.