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Number

42,013

42,013 is a prime, odd.

42,013 (forty-two thousand thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xA41D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
16 bits
Reversed
31,024
Recamán's sequence
a(151,597) = 42,013
Square (n²)
1,765,092,169
Cube (n³)
74,156,817,296,197
Divisor count
2
σ(n) — sum of divisors
42,014
φ(n) — Euler's totient
42,012

Primality

42,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 42013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 42,013)
1 × 42013
First multiples
42,013 · 84,026 (double) · 126,039 · 168,052 · 210,065 · 252,078 · 294,091 · 336,104 · 378,117 · 420,130

Sums & aliquot sequence

As a sum of two squares: 53² + 198²
As consecutive integers: 21,006 + 21,007

Continued fraction of √n

√42,013 = [204; (1, 33, 6, 11, 4, 1, 1, 14, 1, 1, 1, 2, 4, 31, 3, 3, 1, 1, 1, 6, 12, 3, 1, 2, …)]

Representations

In words
forty-two thousand thirteen
Ordinal
42013th
Binary
1010010000011101
Octal
122035
Hexadecimal
0xA41D
Base64
pB0=
One's complement
23,522 (16-bit)
Scientific notation
4.2013 × 10⁴
As a duration
42,013 s = 11 hours, 40 minutes, 13 seconds
In other bases
ternary (3) 2010122001
quaternary (4) 22100131
quinary (5) 2321023
senary (6) 522301
septenary (7) 233326
nonary (9) 63561
undecimal (11) 29624
duodecimal (12) 20391
tridecimal (13) 1617a
tetradecimal (14) 1144d
pentadecimal (15) c6ad

As an angle

42,013° = 116 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵μβιγʹ
Mayan (base 20)
𝋥·𝋥·𝋠·𝋭
Chinese
四萬二千零一十三
Chinese (financial)
肆萬貳仟零壹拾參
In other modern scripts
Eastern Arabic ٤٢٠١٣ Devanagari ४२०१३ Bengali ৪২০১৩ Tamil ௪௨௦௧௩ Thai ๔๒๐๑๓ Tibetan ༤༢༠༡༣ Khmer ៤២០១៣ Lao ໔໒໐໑໓ Burmese ၄၂၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 42,013 = 6
e — Euler's number (e)
Digit 42,013 = 7
φ — Golden ratio (φ)
Digit 42,013 = 9
√2 — Pythagoras's (√2)
Digit 42,013 = 9
ln 2 — Natural log of 2
Digit 42,013 = 9
γ — Euler-Mascheroni (γ)
Digit 42,013 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 41,999 (gap of 14)
  • Next prime: 42,017 (gap of 4)

Pair status: cousin with 42017.

Unicode codepoint
Yi Syllable Jjiex
U+A41D
Other letter (Lo)

UTF-8 encoding: EA 90 9D (3 bytes).

Hex color
#00A41D
RGB(0, 164, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.29.

Address
0.0.164.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.29

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

Position in π

The digit sequence 42013 first appears in π at position 90,269 of the decimal expansion (the 90,269ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.