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557,021

557,021 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.).

557,021 (five hundred fifty-seven 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, 0x87FDD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
120,755
Square (n²)
310,272,394,441
Cube (n³)
172,828,239,423,920,261
Divisor count
2
σ(n) — sum of divisors
557,022
φ(n) — Euler's totient
557,020

Primality

557,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 557021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 557,021)
1 × 557021
First multiples
557,021 · 1,114,042 (double) · 1,671,063 · 2,228,084 · 2,785,105 · 3,342,126 · 3,899,147 · 4,456,168 · 5,013,189 · 5,570,210

Sums & aliquot sequence

As a sum of two squares: 214² + 715²
As consecutive integers: 278,510 + 278,511

Continued fraction of √n

√557,021 = [746; (2, 1, 21, 3, 1, 1, 14, 1, 4, 2, 31, 3, 3, 1, 1, 2, 22, 1, 1, 2, 1, 6, 14, 2, …)]

Period length 59 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-seven thousand twenty-one
Ordinal
557021st
Binary
10000111111111011101
Octal
2077735
Hexadecimal
0x87FDD
Base64
CH/d
One's complement
4,294,410,274 (32-bit)
Scientific notation
5.57021 × 10⁵
As a duration
557,021 s = 6 days, 10 hours, 43 minutes, 41 seconds
In other bases
ternary (3) 1001022002102
quaternary (4) 2013333131
quinary (5) 120311041
senary (6) 15534445
septenary (7) 4506653
nonary (9) 1038072
undecimal (11) 350553
duodecimal (12) 22a425
tridecimal (13) 1666ca
tetradecimal (14) 106dd3
pentadecimal (15) b009b

As an angle

557,021° = 1,547 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵φνζκαʹ
Chinese
五十五萬七千零二十一
Chinese (financial)
伍拾伍萬柒仟零貳拾壹
In other modern scripts
Eastern Arabic ٥٥٧٠٢١ Devanagari ५५७०२१ Bengali ৫৫৭০২১ Tamil ௫௫௭௦௨௧ Thai ๕๕๗๐๒๑ Tibetan ༥༥༧༠༢༡ Khmer ៥៥៧០២១ Lao ໕໕໗໐໒໑ Burmese ၅၅၇၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 557017, sexy with 557027.

Hex color
#087FDD
RGB(8, 127, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.127.221.

Address
0.8.127.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.127.221

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 557,021 and was likely granted around 1895.

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

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.