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1,053,589

1,053,589 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.).

1,053,589 (one million fifty-three thousand five hundred eighty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x101395.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
9,853,501
Square (n²)
1,110,049,780,921
Cube (n³)
1,169,536,238,630,775,469
Divisor count
2
σ(n) — sum of divisors
1,053,590
φ(n) — Euler's totient
1,053,588

Primality

1,053,589 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1053589
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,053,589)
1 × 1053589
First multiples
1,053,589 · 2,107,178 (double) · 3,160,767 · 4,214,356 · 5,267,945 · 6,321,534 · 7,375,123 · 8,428,712 · 9,482,301 · 10,535,890

Sums & aliquot sequence

As a sum of two squares: 183² + 1,010²
As consecutive integers: 526,794 + 526,795

Continued fraction of √n

√1,053,589 = [1026; (2, 4, 31, 2, 1, 3, 2, 1, 1, 7, 3, 3, 1, 2, 512, 1, 6, 4, 1, 7, 11, 11, 7, 1, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand five hundred eighty-nine
Ordinal
1053589th
Binary
100000001001110010101
Octal
4011625
Hexadecimal
0x101395
Base64
EBOV
One's complement
4,293,913,706 (32-bit)
Scientific notation
1.053589 × 10⁶
As a duration
1,053,589 s = 12 days, 4 hours, 39 minutes, 49 seconds
In other bases
ternary (3) 1222112020211
quaternary (4) 10001032111
quinary (5) 232203324
senary (6) 34325421
septenary (7) 11645455
nonary (9) 1875224
undecimal (11) 65a639
duodecimal (12) 429871
tridecimal (13) 2ab734
tetradecimal (14) 1d5d65
pentadecimal (15) 15c294

As an angle

1,053,589° = 2,926 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬三千五百八十九
Chinese (financial)
壹佰零伍萬參仟伍佰捌拾玖
In other modern scripts
Eastern Arabic ١٠٥٣٥٨٩ Devanagari १०५३५८९ Bengali ১০৫৩৫৮৯ Tamil ௧௦௫௩௫௮௯ Thai ๑๐๕๓๕๘๙ Tibetan ༡༠༥༣༥༨༩ Khmer ១០៥៣៥៨៩ Lao ໑໐໕໓໕໘໙ Burmese ၁၀၅၃၅၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1053593, sexy with 1053583.

Hex color
#101395
RGB(16, 19, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.19.149.

Address
0.16.19.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.19.149

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 3589 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3589-05-01 (DMMYYYY (Euro, single-digit day))
  • 3589-10-05 (MMDYYYY (US, single-digit day))
  • 3589-05-10 (DDMYYYY (Euro, single-digit month))
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 1,053,589 and was likely granted around 1912.

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.