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1,031,137

1,031,137 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.).

1,031,137 (one million thirty-one 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, 0xFBBE1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
7,311,301
Square (n²)
1,063,243,512,769
Cube (n³)
1,096,349,726,026,088,353
Divisor count
2
σ(n) — sum of divisors
1,031,138
φ(n) — Euler's totient
1,031,136

Primality

1,031,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1031137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,031,137)
1 × 1031137
First multiples
1,031,137 · 2,062,274 (double) · 3,093,411 · 4,124,548 · 5,155,685 · 6,186,822 · 7,217,959 · 8,249,096 · 9,280,233 · 10,311,370

Sums & aliquot sequence

As a sum of two squares: 356² + 951²
As consecutive integers: 515,568 + 515,569

Continued fraction of √n

√1,031,137 = [1015; (2, 4, 2, 2, 1, 1, 7, 3, 1, 8, 1, 3, 2, 11, 1, 1, 1, 4, 1, 1, 2, 3, 1, 2, …)]

Representations

In words
one million thirty-one thousand one hundred thirty-seven
Ordinal
1031137th
Binary
11111011101111100001
Octal
3735741
Hexadecimal
0xFBBE1
Base64
D7vh
One's complement
4,293,936,158 (32-bit)
Scientific notation
1.031137 × 10⁶
As a duration
1,031,137 s = 11 days, 22 hours, 25 minutes, 37 seconds
In other bases
ternary (3) 1221101110021
quaternary (4) 3323233201
quinary (5) 230444022
senary (6) 34033441
septenary (7) 11523142
nonary (9) 1841407
undecimal (11) 644788
duodecimal (12) 418881
tridecimal (13) 2a1453
tetradecimal (14) 1cbac9
pentadecimal (15) 1557c7

As an angle

1,031,137° = 2,864 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零三萬一千一百三十七
Chinese (financial)
壹佰零參萬壹仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠٣١١٣٧ Devanagari १०३११३७ Bengali ১০৩১১৩৭ Tamil ௧௦௩௧௧௩௭ Thai ๑๐๓๑๑๓๗ Tibetan ༡༠༣༡༡༣༧ Khmer ១០៣១១៣៧ Lao ໑໐໓໑໑໓໗ Burmese ၁၀၃၁၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1031141.

Hex color
#0FBBE1
RGB(15, 187, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.187.225.

Address
0.15.187.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.187.225

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 3, 1137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1137-03-01 (DMMYYYY (Euro, single-digit day))
  • 1137-10-03 (MMDYYYY (US, single-digit day))
  • 1137-03-10 (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 1,031,137 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.