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558,401

558,401 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.).

558,401 (five hundred fifty-eight thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x88541.

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
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
104,855
Recamán's sequence
a(195,194) = 558,401
Square (n²)
311,811,676,801
Cube (n³)
174,115,952,137,355,201
Divisor count
2
σ(n) — sum of divisors
558,402
φ(n) — Euler's totient
558,400

Primality

558,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 558401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 558,401)
1 × 558401
First multiples
558,401 · 1,116,802 (double) · 1,675,203 · 2,233,604 · 2,792,005 · 3,350,406 · 3,908,807 · 4,467,208 · 5,025,609 · 5,584,010

Sums & aliquot sequence

As a sum of two squares: 185² + 724²
As consecutive integers: 279,200 + 279,201

Continued fraction of √n

√558,401 = [747; (3, 1, 4, 3, 6, 7, 1, 1, 1, 298, 3, 1, 24, 1, 1, 2, 1, 1, 2, 13, 1, 58, 1, 5, …)]

Representations

In words
five hundred fifty-eight thousand four hundred one
Ordinal
558401st
Binary
10001000010101000001
Octal
2102501
Hexadecimal
0x88541
Base64
CIVB
One's complement
4,294,408,894 (32-bit)
Scientific notation
5.58401 × 10⁵
As a duration
558,401 s = 6 days, 11 hours, 6 minutes, 41 seconds
In other bases
ternary (3) 1001100222112
quaternary (4) 2020111001
quinary (5) 120332101
senary (6) 15545105
septenary (7) 4513664
nonary (9) 1040875
undecimal (11) 351598
duodecimal (12) 22b195
tridecimal (13) 16721c
tetradecimal (14) 1076db
pentadecimal (15) b06bb

As an angle

558,401° = 1,551 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φνηυαʹ
Chinese
五十五萬八千四百零一
Chinese (financial)
伍拾伍萬捌仟肆佰零壹
In other modern scripts
Eastern Arabic ٥٥٨٤٠١ Devanagari ५५८४०१ Bengali ৫৫৮৪০১ Tamil ௫௫௮௪௦௧ Thai ๕๕๘๔๐๑ Tibetan ༥༥༨༤༠༡ Khmer ៥៥៨៤០១ Lao ໕໕໘໔໐໑ Burmese ၅၅၈၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#088541
RGB(8, 133, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.133.65.

Address
0.8.133.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.133.65

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 558,401 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 558401 first appears in π at position 81,496 of the decimal expansion (the 81,496ordinal-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.