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1,001,023

1,001,023 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.).

1,001,023 (one million one thousand twenty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF463F.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
3,201,001
Square (n²)
1,002,047,046,529
Cube (n³)
1,003,072,140,657,599,167
Divisor count
2
σ(n) — sum of divisors
1,001,024
φ(n) — Euler's totient
1,001,022

Primality

1,001,023 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1001023
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,001,023)
1 × 1001023
First multiples
1,001,023 · 2,002,046 (double) · 3,003,069 · 4,004,092 · 5,005,115 · 6,006,138 · 7,007,161 · 8,008,184 · 9,009,207 · 10,010,230

Sums & aliquot sequence

As consecutive integers: 500,511 + 500,512

Continued fraction of √n

√1,001,023 = [1000; (1, 1, 21, 2, 22, 1, 1, 21, 181, 1, 6, 2, 1, 1, 3, 6, 1, 1, 4, 2, 1, 1, 1, 2, …)]

Representations

In words
one million one thousand twenty-three
Ordinal
1001023rd
Binary
11110100011000111111
Octal
3643077
Hexadecimal
0xF463F
Base64
D0Y/
One's complement
4,293,966,272 (32-bit)
Scientific notation
1.001023 × 10⁶
As a duration
1,001,023 s = 11 days, 14 hours, 3 minutes, 43 seconds
In other bases
ternary (3) 1212212010221
quaternary (4) 3310120333
quinary (5) 224013043
senary (6) 33242211
septenary (7) 11336302
nonary (9) 1785127
undecimal (11) 6240a1
duodecimal (12) 403367
tridecimal (13) 29082a
tetradecimal (14) 1c0b39
pentadecimal (15) 14b8ed

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬一千零二十三
Chinese (financial)
壹佰萬壹仟零貳拾參
In other modern scripts
Eastern Arabic ١٠٠١٠٢٣ Devanagari १००१०२३ Bengali ১০০১০২৩ Tamil ௧௦௦௧௦௨௩ Thai ๑๐๐๑๐๒๓ Tibetan ༡༠༠༡༠༢༣ Khmer ១០០១០២៣ Lao ໑໐໐໑໐໒໓ Burmese ၁၀၀၁၀၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1001027, sexy with 1001017.

Hex color
#0F463F
RGB(15, 70, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.63.

Address
0.15.70.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.70.63

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

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 1,001,023 and was likely granted around 1911.

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.