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542,021

542,021 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

542,021 (five hundred forty-two thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x84545.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
120,245
Square (n²)
293,786,764,441
Cube (n³)
159,238,595,849,075,261
Divisor count
2
σ(n) — sum of divisors
542,022
φ(n) — Euler's totient
542,020

Primality

542,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 542021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 542,021)
1 × 542021
First multiples
542,021 · 1,084,042 (double) · 1,626,063 · 2,168,084 · 2,710,105 · 3,252,126 · 3,794,147 · 4,336,168 · 4,878,189 · 5,420,210

Sums & aliquot sequence

As a sum of two squares: 511² + 530²
As consecutive integers: 271,010 + 271,011

Continued fraction of √n

√542,021 = [736; (4, 1, 1, 7, 1, 6, 16, 28, 3, 1, 13, 1, 34, 1, 51, 1, 1, 1, 1, 2, 16, 6, 3, 1, …)]

Representations

In words
five hundred forty-two thousand twenty-one
Ordinal
542021st
Binary
10000100010101000101
Octal
2042505
Hexadecimal
0x84545
Base64
CEVF
One's complement
4,294,425,274 (32-bit)
Scientific notation
5.42021 × 10⁵
As a duration
542,021 s = 6 days, 6 hours, 33 minutes, 41 seconds
In other bases
ternary (3) 1000112111212
quaternary (4) 2010111011
quinary (5) 114321041
senary (6) 15341205
septenary (7) 4415144
nonary (9) 1015455
undecimal (11) 340257
duodecimal (12) 221805
tridecimal (13) 15c92c
tetradecimal (14) 10175b
pentadecimal (15) aa8eb
Palindromic in base 7

As an angle

542,021° = 1,505 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵φμβκαʹ
Chinese
五十四萬二千零二十一
Chinese (financial)
伍拾肆萬貳仟零貳拾壹
In other modern scripts
Eastern Arabic ٥٤٢٠٢١ Devanagari ५४२०२१ Bengali ৫৪২০২১ Tamil ௫௪௨௦௨௧ Thai ๕๔๒๐๒๑ Tibetan ༥༤༢༠༢༡ Khmer ៥៤២០២១ Lao ໕໔໒໐໒໑ Burmese ၅၄၂၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 542023.

Hex color
#084545
RGB(8, 69, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.69.69.

Address
0.8.69.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.69.69

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 542,021 and was likely granted around 1895.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 542021 first appears in π at position 4,349 of the decimal expansion (the 4,349ordinal-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.