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1,048,991

1,048,991 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.).

1,048,991 (one million forty-eight thousand nine hundred ninety-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x10019F.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
32
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
1,998,401
Square (n²)
1,100,382,118,081
Cube (n³)
1,154,290,938,427,906,271
Divisor count
2
σ(n) — sum of divisors
1,048,992
φ(n) — Euler's totient
1,048,990

Primality

1,048,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1048991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,048,991)
1 × 1048991
First multiples
1,048,991 · 2,097,982 (double) · 3,146,973 · 4,195,964 · 5,244,955 · 6,293,946 · 7,342,937 · 8,391,928 · 9,440,919 · 10,489,910

Sums & aliquot sequence

As consecutive integers: 524,495 + 524,496

Continued fraction of √n

√1,048,991 = [1024; (4, 1, 14, 2, 18, 7, 4, 4, 11, 4, 1, 4, 3, 3, 1, 1, 4, 5, 21, 2, 1, 2, 3, 7, …)]

Representations

In words
one million forty-eight thousand nine hundred ninety-one
Ordinal
1048991st
Binary
100000000000110011111
Octal
4000637
Hexadecimal
0x10019F
Base64
EAGf
One's complement
4,293,918,304 (32-bit)
Scientific notation
1.048991 × 10⁶
As a duration
1,048,991 s = 12 days, 3 hours, 23 minutes, 11 seconds
In other bases
ternary (3) 1222021221112
quaternary (4) 10000012133
quinary (5) 232031431
senary (6) 34252235
septenary (7) 11626166
nonary (9) 1867845
undecimal (11) 657139
duodecimal (12) 42707b
tridecimal (13) 2a9608
tetradecimal (14) 1d43dd
pentadecimal (15) 15ac2b

As an angle

1,048,991° = 2,913 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零四萬八千九百九十一
Chinese (financial)
壹佰零肆萬捌仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ١٠٤٨٩٩١ Devanagari १०४८९९१ Bengali ১০৪৮৯৯১ Tamil ௧௦௪௮௯௯௧ Thai ๑๐๔๘๙๙๑ Tibetan ༡༠༤༨༩༩༡ Khmer ១០៤៨៩៩១ Lao ໑໐໔໘໙໙໑ Burmese ၁၀၄၈၉၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#10019F
RGB(16, 1, 159)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.1.159.

Address
0.16.1.159
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.1.159

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 8991 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8991-04-01 (DMMYYYY (Euro, single-digit day))
  • 8991-10-04 (MMDYYYY (US, single-digit day))
  • 8991-04-10 (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 1,048,991 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.