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1,065,137

1,065,137 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.).

1,065,137 (one million sixty-five 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, 0x1040B1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
7,315,601
Square (n²)
1,134,516,828,769
Cube (n³)
1,208,415,851,444,526,353
Divisor count
2
σ(n) — sum of divisors
1,065,138
φ(n) — Euler's totient
1,065,136

Primality

1,065,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1065137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,065,137)
1 × 1065137
First multiples
1,065,137 · 2,130,274 (double) · 3,195,411 · 4,260,548 · 5,325,685 · 6,390,822 · 7,455,959 · 8,521,096 · 9,586,233 · 10,651,370

Sums & aliquot sequence

As a sum of two squares: 239² + 1,004²
As consecutive integers: 532,568 + 532,569

Continued fraction of √n

√1,065,137 = [1032; (18, 3, 1, 3, 6, 8, 15, 1, 1, 1, 2, 1, 2, 1, 3, 2, 128, 1, 1, 3, 3, 2, 2, 1, …)]

Representations

In words
one million sixty-five thousand one hundred thirty-seven
Ordinal
1065137th
Binary
100000100000010110001
Octal
4040261
Hexadecimal
0x1040B1
Base64
EECx
One's complement
4,293,902,158 (32-bit)
Scientific notation
1.065137 × 10⁶
As a duration
1,065,137 s = 12 days, 7 hours, 52 minutes, 17 seconds
In other bases
ternary (3) 2000010002112
quaternary (4) 10010002301
quinary (5) 233041022
senary (6) 34455105
septenary (7) 12024233
nonary (9) 2003075
undecimal (11) 668287
duodecimal (12) 434495
tridecimal (13) 2b3a78
tetradecimal (14) 1da253
pentadecimal (15) 1608e2

As an angle

1,065,137° = 2,958 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零六萬五千一百三十七
Chinese (financial)
壹佰零陸萬伍仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠٦٥١٣٧ Devanagari १०६५१३७ Bengali ১০৬৫১৩৭ Tamil ௧௦௬௫௧௩௭ Thai ๑๐๖๕๑๓๗ Tibetan ༡༠༦༥༡༣༧ Khmer ១០៦៥១៣៧ Lao ໑໐໖໕໑໓໗ Burmese ၁၀၆၅၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1065133.

Hex color
#1040B1
RGB(16, 64, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.64.177.

Address
0.16.64.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.64.177

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 6, 5137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5137-06-01 (DMMYYYY (Euro, single-digit day))
  • 5137-10-06 (MMDYYYY (US, single-digit day))
  • 5137-06-10 (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 1,065,137 and was likely granted around 1913.

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

Position in π

The digit sequence 1065137 first appears in π at position 24,317 of the decimal expansion (the 24,317ordinal-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.