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1,048,721

1,048,721 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.).

1,048,721 (one million forty-eight thousand seven hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x100091.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean 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
1,278,401
Square (n²)
1,099,815,735,841
Cube (n³)
1,153,399,858,306,909,361
Divisor count
2
σ(n) — sum of divisors
1,048,722
φ(n) — Euler's totient
1,048,720

Primality

1,048,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1048721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,048,721)
1 × 1048721
First multiples
1,048,721 · 2,097,442 (double) · 3,146,163 · 4,194,884 · 5,243,605 · 6,292,326 · 7,341,047 · 8,389,768 · 9,438,489 · 10,487,210

Sums & aliquot sequence

As a sum of two squares: 136² + 1,015²
As consecutive integers: 524,360 + 524,361

Continued fraction of √n

√1,048,721 = [1024; (14, 8, 41, 1, 2, 13, 7, 4, 1, 2, 9, 1, 1, 1, 2, 1, 3, 1, 2, 4, 1, 24, 1, 3, …)]

Representations

In words
one million forty-eight thousand seven hundred twenty-one
Ordinal
1048721st
Binary
100000000000010010001
Octal
4000221
Hexadecimal
0x100091
Base64
EACR
One's complement
4,293,918,574 (32-bit)
Scientific notation
1.048721 × 10⁶
As a duration
1,048,721 s = 12 days, 3 hours, 18 minutes, 41 seconds
In other bases
ternary (3) 1222021120112
quaternary (4) 10000002101
quinary (5) 232024341
senary (6) 34251105
septenary (7) 11625332
nonary (9) 1867515
undecimal (11) 656a13
duodecimal (12) 426a95
tridecimal (13) 2a945b
tetradecimal (14) 1d4289
pentadecimal (15) 15aaeb

As an angle

1,048,721° = 2,913 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零四萬八千七百二十一
Chinese (financial)
壹佰零肆萬捌仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٤٨٧٢١ Devanagari १०४८७२१ Bengali ১০৪৮৭২১ Tamil ௧௦௪௮௭௨௧ Thai ๑๐๔๘๗๒๑ Tibetan ༡༠༤༨༧༢༡ Khmer ១០៤៨៧២១ Lao ໑໐໔໘໗໒໑ Burmese ၁၀၄၈၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1048717.

Hex color
#100091
RGB(16, 0, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.0.145.

Address
0.16.0.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.0.145

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 8721 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8721-04-01 (DMMYYYY (Euro, single-digit day))
  • 8721-10-04 (MMDYYYY (US, single-digit day))
  • 8721-04-10 (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 1,048,721 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.