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558,121

558,121 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.).

558,121 (five hundred fifty-eight thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x88429.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
400
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
121,855
Recamán's sequence
a(195,754) = 558,121
Square (n²)
311,499,050,641
Cube (n³)
173,854,161,642,805,561
Divisor count
2
σ(n) — sum of divisors
558,122
φ(n) — Euler's totient
558,120

Primality

558,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 558121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 558,121)
1 × 558121
First multiples
558,121 · 1,116,242 (double) · 1,674,363 · 2,232,484 · 2,790,605 · 3,348,726 · 3,906,847 · 4,464,968 · 5,023,089 · 5,581,210

Sums & aliquot sequence

As a sum of two squares: 261² + 700²
As consecutive integers: 279,060 + 279,061

Continued fraction of √n

√558,121 = [747; (13, 2, 1, 16, 8, 1, 5, 62, 11, 1, 1, 3, 3, 1, 4, 1, 22, 1, 8, 10, 3, 1, 3, 1, …)]

Representations

In words
five hundred fifty-eight thousand one hundred twenty-one
Ordinal
558121st
Binary
10001000010000101001
Octal
2102051
Hexadecimal
0x88429
Base64
CIQp
One's complement
4,294,409,174 (32-bit)
Scientific notation
5.58121 × 10⁵
As a duration
558,121 s = 6 days, 11 hours, 2 minutes, 1 second
In other bases
ternary (3) 1001100121011
quaternary (4) 2020100221
quinary (5) 120324441
senary (6) 15543521
septenary (7) 4513114
nonary (9) 1040534
undecimal (11) 351363
duodecimal (12) 22aba1
tridecimal (13) 167065
tetradecimal (14) 10757b
pentadecimal (15) b0581

As an angle

558,121° = 1,550 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵φνηρκαʹ
Chinese
五十五萬八千一百二十一
Chinese (financial)
伍拾伍萬捌仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ٥٥٨١٢١ Devanagari ५५८१२१ Bengali ৫৫৮১২১ Tamil ௫௫௮௧௨௧ Thai ๕๕๘๑๒๑ Tibetan ༥༥༨༡༢༡ Khmer ៥៥៨១២១ Lao ໕໕໘໑໒໑ Burmese ၅၅၈၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#088429
RGB(8, 132, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.132.41.

Address
0.8.132.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.132.41

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 558,121 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 558121 first appears in π at position 348,702 of the decimal expansion (the 348,702ordinal-suffix:nd 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.