number.wiki
Live analysis

1,052,801

1,052,801 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.).

1,052,801 (one million fifty-two thousand eight hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x101081.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
1,082,501
Square (n²)
1,108,389,945,601
Cube (n³)
1,166,914,043,118,678,401
Divisor count
2
σ(n) — sum of divisors
1,052,802
φ(n) — Euler's totient
1,052,800

Primality

1,052,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1052801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,052,801)
1 × 1052801
First multiples
1,052,801 · 2,105,602 (double) · 3,158,403 · 4,211,204 · 5,264,005 · 6,316,806 · 7,369,607 · 8,422,408 · 9,475,209 · 10,528,010

Sums & aliquot sequence

As a sum of two squares: 65² + 1,024²
As consecutive integers: 526,400 + 526,401

Continued fraction of √n

√1,052,801 = [1026; (16, 2, 2, 2, 38, 3, 3, 2, 1, 157, 6, 3, 4, 31, 2, 1, 17, 1, 1, 1, 7, 12, 82, 410, …)]

Representations

In words
one million fifty-two thousand eight hundred one
Ordinal
1052801st
Binary
100000001000010000001
Octal
4010201
Hexadecimal
0x101081
Base64
EBCB
One's complement
4,293,914,494 (32-bit)
Scientific notation
1.052801 × 10⁶
As a duration
1,052,801 s = 12 days, 4 hours, 26 minutes, 41 seconds
In other bases
ternary (3) 1222111011122
quaternary (4) 10001002001
quinary (5) 232142201
senary (6) 34322025
septenary (7) 11643251
nonary (9) 1874148
undecimal (11) 659a92
duodecimal (12) 429315
tridecimal (13) 2ab279
tetradecimal (14) 1d5961
pentadecimal (15) 15be1b

As an angle

1,052,801° = 2,924 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese
一百零五萬二千八百零一
Chinese (financial)
壹佰零伍萬貳仟捌佰零壹
In other modern scripts
Eastern Arabic ١٠٥٢٨٠١ Devanagari १०५२८०१ Bengali ১০৫২৮০১ Tamil ௧௦௫௨௮௦௧ Thai ๑๐๕๒๘๐๑ Tibetan ༡༠༥༢༨༠༡ Khmer ១០៥២៨០១ Lao ໑໐໕໒໘໐໑ Burmese ၁၀၅၂၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1052803, cousin with 1052797.

Hex color
#101081
RGB(16, 16, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.16.129.

Address
0.16.16.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.16.129

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 2801 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2801-05-01 (DMMYYYY (Euro, single-digit day))
  • 2801-10-05 (MMDYYYY (US, single-digit day))
  • 2801-05-10 (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 1,052,801 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.