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1,049,137

1,049,137 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.).

1,049,137 (one million forty-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, 0x100231.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
7,319,401
Square (n²)
1,100,688,444,769
Cube (n³)
1,154,772,972,879,614,353
Divisor count
2
σ(n) — sum of divisors
1,049,138
φ(n) — Euler's totient
1,049,136

Primality

1,049,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1049137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,049,137)
1 × 1049137
First multiples
1,049,137 · 2,098,274 (double) · 3,147,411 · 4,196,548 · 5,245,685 · 6,294,822 · 7,343,959 · 8,393,096 · 9,442,233 · 10,491,370

Sums & aliquot sequence

As a sum of two squares: 239² + 996²
As consecutive integers: 524,568 + 524,569

Continued fraction of √n

√1,049,137 = [1024; (3, 1, 1, 1, 6, 2, 10, 4, 1, 7, 1, 84, 2, 7, 1, 3, 4, 2, 15, 1, 1, 3, 1, 8, …)]

Representations

In words
one million forty-nine thousand one hundred thirty-seven
Ordinal
1049137th
Binary
100000000001000110001
Octal
4001061
Hexadecimal
0x100231
Base64
EAIx
One's complement
4,293,918,158 (32-bit)
Scientific notation
1.049137 × 10⁶
As a duration
1,049,137 s = 12 days, 3 hours, 25 minutes, 37 seconds
In other bases
ternary (3) 1222022010221
quaternary (4) 10000020301
quinary (5) 232033022
senary (6) 34253041
septenary (7) 11626465
nonary (9) 1868127
undecimal (11) 657261
duodecimal (12) 427181
tridecimal (13) 2a96bb
tetradecimal (14) 1d44a5
pentadecimal (15) 15acc7

As an angle

1,049,137° = 2,914 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬九千一百三十七
Chinese (financial)
壹佰零肆萬玖仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠٤٩١٣٧ Devanagari १०४९१३७ Bengali ১০৪৯১৩৭ Tamil ௧௦௪௯௧௩௭ Thai ๑๐๔๙๑๓๗ Tibetan ༡༠༤༩༡༣༧ Khmer ១០៤៩១៣៧ Lao ໑໐໔໙໑໓໗ Burmese ၁၀၄၉၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1049141, sexy with 1049131.

Hex color
#100231
RGB(16, 2, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.2.49.

Address
0.16.2.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.2.49

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 9137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9137-04-01 (DMMYYYY (Euro, single-digit day))
  • 9137-10-04 (MMDYYYY (US, single-digit day))
  • 9137-04-10 (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 1,049,137 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.