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Number

42,689

42,689 is a prime, odd.

42,689 (forty-two thousand six hundred eighty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xA6C1.

Arithmetic Number Chen 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
29
Digit product
3,456
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
98,624
Recamán's sequence
a(73,214) = 42,689
Square (n²)
1,822,350,721
Cube (n³)
77,794,329,928,769
Divisor count
2
σ(n) — sum of divisors
42,690
φ(n) — Euler's totient
42,688

Primality

42,689 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 42689
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 42,689)
1 × 42689
First multiples
42,689 · 85,378 (double) · 128,067 · 170,756 · 213,445 · 256,134 · 298,823 · 341,512 · 384,201 · 426,890

Sums & aliquot sequence

As a sum of two squares: 92² + 185²
As consecutive integers: 21,344 + 21,345

Continued fraction of √n

√42,689 = [206; (1, 1, 1, 1, 2, 2, 3, 1, 1, 4, 7, 1, 1, 2, 1, 2, 1, 1, 2, 3, 4, 1, 6, 1, …)]

Representations

In words
forty-two thousand six hundred eighty-nine
Ordinal
42689th
Binary
1010011011000001
Octal
123301
Hexadecimal
0xA6C1
Base64
psE=
One's complement
22,846 (16-bit)
Scientific notation
4.2689 × 10⁴
As a duration
42,689 s = 11 hours, 51 minutes, 29 seconds
In other bases
ternary (3) 2011120002
quaternary (4) 22123001
quinary (5) 2331224
senary (6) 525345
septenary (7) 235313
nonary (9) 64502
undecimal (11) 2a089
duodecimal (12) 20855
tridecimal (13) 1657a
tetradecimal (14) 117b3
pentadecimal (15) c9ae

As an angle

42,689° = 118 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβχπθʹ
Mayan (base 20)
𝋥·𝋦·𝋮·𝋩
Chinese
四萬二千六百八十九
Chinese (financial)
肆萬貳仟陸佰捌拾玖
In other modern scripts
Eastern Arabic ٤٢٦٨٩ Devanagari ४२६८९ Bengali ৪২৬৮৯ Tamil ௪௨௬௮௯ Thai ๔๒๖๘๙ Tibetan ༤༢༦༨༩ Khmer ៤២៦៨៩ Lao ໔໒໖໘໙ Burmese ၄၂၆၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 42,689 = 3
e — Euler's number (e)
Digit 42,689 = 9
φ — Golden ratio (φ)
Digit 42,689 = 4
√2 — Pythagoras's (√2)
Digit 42,689 = 5
ln 2 — Natural log of 2
Digit 42,689 = 4
γ — Euler-Mascheroni (γ)
Digit 42,689 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 42,683 (gap of 6)
  • Next prime: 42,697 (gap of 8)

Pair status: sexy with 42683.

Unicode codepoint
Bamum Letter Yuq
U+A6C1
Other letter (Lo)

UTF-8 encoding: EA 9B 81 (3 bytes).

Hex color
#00A6C1
RGB(0, 166, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.166.193.

Address
0.0.166.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.166.193

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

Position in π

The digit sequence 42689 first appears in π at position 96,020 of the decimal expansion (the 96,020ordinal-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.