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1,059,137

1,059,137 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.).

1,059,137 (one million fifty-nine thousand one hundred thirty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x102941.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
7,319,501
Square (n²)
1,121,771,184,769
Cube (n³)
1,188,109,367,322,684,353
Divisor count
2
σ(n) — sum of divisors
1,059,138
φ(n) — Euler's totient
1,059,136

Primality

1,059,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1059137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,059,137)
1 × 1059137
First multiples
1,059,137 · 2,118,274 (double) · 3,177,411 · 4,236,548 · 5,295,685 · 6,354,822 · 7,413,959 · 8,473,096 · 9,532,233 · 10,591,370

Sums & aliquot sequence

As a sum of two squares: 596² + 839²
As consecutive integers: 529,568 + 529,569

Continued fraction of √n

√1,059,137 = [1029; (6, 1, 20, 2, 1, 3, 5, 1, 17, 1, 1, 6, 3, 1, 8, 8, 1, 6, 1, 14, 1, 1, 1, 1, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one million fifty-nine thousand one hundred thirty-seven
Ordinal
1059137th
Binary
100000010100101000001
Octal
4024501
Hexadecimal
0x102941
Base64
EClB
One's complement
4,293,908,158 (32-bit)
Scientific notation
1.059137 × 10⁶
As a duration
1,059,137 s = 12 days, 6 hours, 12 minutes, 17 seconds
In other bases
ternary (3) 1222210212022
quaternary (4) 10002211001
quinary (5) 232343022
senary (6) 34411225
septenary (7) 12000602
nonary (9) 1883768
undecimal (11) 663822
duodecimal (12) 430b15
tridecimal (13) 2b1111
tetradecimal (14) 1d7da9
pentadecimal (15) 15dc42

As an angle

1,059,137° = 2,942 × 360° + 17°
17° ≈ 0.297 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬九千一百三十七
Chinese (financial)
壹佰零伍萬玖仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠٥٩١٣٧ Devanagari १०५९१३७ Bengali ১০৫৯১৩৭ Tamil ௧௦௫௯௧௩௭ Thai ๑๐๕๙๑๓๗ Tibetan ༡༠༥༩༡༣༧ Khmer ១០៥៩១៣៧ Lao ໑໐໕໙໑໓໗ Burmese ၁၀၅၉၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1059131.

Hex color
#102941
RGB(16, 41, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.41.65.

Address
0.16.41.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.41.65

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 9137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9137-05-01 (DMMYYYY (Euro, single-digit day))
  • 9137-10-05 (MMDYYYY (US, single-digit day))
  • 9137-05-10 (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 1,059,137 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.