number.wiki
Number

42,611

42,611 is a prime, odd.

42,611 (forty-two thousand six hundred eleven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xA673.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
48
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
11,624
Recamán's sequence
a(12,090) = 42,611
Square (n²)
1,815,697,321
Cube (n³)
77,368,678,545,131
Divisor count
2
σ(n) — sum of divisors
42,612
φ(n) — Euler's totient
42,610

Primality

42,611 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 42611
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 42,611)
1 × 42611
First multiples
42,611 · 85,222 (double) · 127,833 · 170,444 · 213,055 · 255,666 · 298,277 · 340,888 · 383,499 · 426,110

Sums & aliquot sequence

As consecutive integers: 21,305 + 21,306

Continued fraction of √n

√42,611 = [206; (2, 2, 1, 4, 11, 1, 1, 2, 2, 31, 2, 1, 15, 4, 1, 3, 1, 5, 9, 2, 2, 1, 205, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
forty-two thousand six hundred eleven
Ordinal
42611th
Binary
1010011001110011
Octal
123163
Hexadecimal
0xA673
Base64
pnM=
One's complement
22,924 (16-bit)
Scientific notation
4.2611 × 10⁴
As a duration
42,611 s = 11 hours, 50 minutes, 11 seconds
In other bases
ternary (3) 2011110012
quaternary (4) 22121303
quinary (5) 2330421
senary (6) 525135
septenary (7) 235142
nonary (9) 64405
undecimal (11) 2a018
duodecimal (12) 207ab
tridecimal (13) 1651a
tetradecimal (14) 11759
pentadecimal (15) c95b

As an angle

42,611° = 118 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺
Greek (Milesian)
͵μβχιαʹ
Mayan (base 20)
𝋥·𝋦·𝋪·𝋫
Chinese
四萬二千六百一十一
Chinese (financial)
肆萬貳仟陸佰壹拾壹
In other modern scripts
Eastern Arabic ٤٢٦١١ Devanagari ४२६११ Bengali ৪২৬১১ Tamil ௪௨௬௧௧ Thai ๔๒๖๑๑ Tibetan ༤༢༦༡༡ Khmer ៤២៦១១ Lao ໔໒໖໑໑ Burmese ၄၂၆၁၁

Digit at this position in famous constants

π — Pi (π)
Digit 42,611 = 3
e — Euler's number (e)
Digit 42,611 = 9
φ — Golden ratio (φ)
Digit 42,611 = 2
√2 — Pythagoras's (√2)
Digit 42,611 = 7
ln 2 — Natural log of 2
Digit 42,611 = 5
γ — Euler-Mascheroni (γ)
Digit 42,611 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 42,589 (gap of 22)
  • Next prime: 42,641 (gap of 30)
Unicode codepoint
Slavonic Asterisk
U+A673
Other punctuation (Po)

UTF-8 encoding: EA 99 B3 (3 bytes).

Hex color
#00A673
RGB(0, 166, 115)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.166.115.

Address
0.0.166.115
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.166.115

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

Position in π

The digit sequence 42611 first appears in π at position 30,619 of the decimal expansion (the 30,619ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.