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Number

42,071

42,071 is a prime, odd.

42,071 (forty-two thousand seventy-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xA457.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
17,024
Recamán's sequence
a(151,481) = 42,071
Square (n²)
1,769,969,041
Cube (n³)
74,464,367,523,911
Divisor count
2
σ(n) — sum of divisors
42,072
φ(n) — Euler's totient
42,070

Primality

42,071 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 42071
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 42,071)
1 × 42071
First multiples
42,071 · 84,142 (double) · 126,213 · 168,284 · 210,355 · 252,426 · 294,497 · 336,568 · 378,639 · 420,710

Sums & aliquot sequence

As consecutive integers: 21,035 + 21,036

Continued fraction of √n

√42,071 = [205; (8, 1, 10, 1, 4, 1, 17, 205, 17, 1, 4, 1, 10, 1, 8, 410)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
forty-two thousand seventy-one
Ordinal
42071st
Binary
1010010001010111
Octal
122127
Hexadecimal
0xA457
Base64
pFc=
One's complement
23,464 (16-bit)
Scientific notation
4.2071 × 10⁴
As a duration
42,071 s = 11 hours, 41 minutes, 11 seconds
In other bases
ternary (3) 2010201012
quaternary (4) 22101113
quinary (5) 2321241
senary (6) 522435
septenary (7) 233441
nonary (9) 63635
undecimal (11) 29677
duodecimal (12) 2041b
tridecimal (13) 161c3
tetradecimal (14) 11491
pentadecimal (15) c6eb

As an angle

42,071° = 116 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵μβοαʹ
Mayan (base 20)
𝋥·𝋥·𝋣·𝋫
Chinese
四萬二千零七十一
Chinese (financial)
肆萬貳仟零柒拾壹
In other modern scripts
Eastern Arabic ٤٢٠٧١ Devanagari ४२०७१ Bengali ৪২০৭১ Tamil ௪௨௦௭௧ Thai ๔๒๐๗๑ Tibetan ༤༢༠༧༡ Khmer ៤២០៧១ Lao ໔໒໐໗໑ Burmese ၄၂၀၇၁

Digit at this position in famous constants

π — Pi (π)
Digit 42,071 = 1
e — Euler's number (e)
Digit 42,071 = 8
φ — Golden ratio (φ)
Digit 42,071 = 3
√2 — Pythagoras's (√2)
Digit 42,071 = 6
ln 2 — Natural log of 2
Digit 42,071 = 3
γ — Euler-Mascheroni (γ)
Digit 42,071 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 42,061 (gap of 10)
  • Next prime: 42,073 (gap of 2)

Pair status: twin with 42073.

Unicode codepoint
Yi Syllable Nyo
U+A457
Other letter (Lo)

UTF-8 encoding: EA 91 97 (3 bytes).

Hex color
#00A457
RGB(0, 164, 87)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.87.

Address
0.0.164.87
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.87

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

Position in π

The digit sequence 42071 first appears in π at position 175,869 of the decimal expansion (the 175,869ordinal-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.