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1,007,023

1,007,023 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.).

1,007,023 (one million seven 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, 0xF5DAF.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
3,207,001
Square (n²)
1,014,095,322,529
Cube (n³)
1,021,217,313,979,121,167
Divisor count
2
σ(n) — sum of divisors
1,007,024
φ(n) — Euler's totient
1,007,022

Primality

1,007,023 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1007023
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,007,023)
1 × 1007023
First multiples
1,007,023 · 2,014,046 (double) · 3,021,069 · 4,028,092 · 5,035,115 · 6,042,138 · 7,049,161 · 8,056,184 · 9,063,207 · 10,070,230

Sums & aliquot sequence

As consecutive integers: 503,511 + 503,512

Continued fraction of √n

√1,007,023 = [1003; (1, 1, 46, 5, 1, 2, 1, 2, 3, 1, 5, 77, 51, 2, 4, 2, 1, 1, 2, 1, 3, 6, 1, 6, …)]

Representations

In words
one million seven thousand twenty-three
Ordinal
1007023rd
Binary
11110101110110101111
Octal
3656657
Hexadecimal
0xF5DAF
Base64
D12v
One's complement
4,293,960,272 (32-bit)
Scientific notation
1.007023 × 10⁶
As a duration
1,007,023 s = 11 days, 15 hours, 43 minutes, 43 seconds
In other bases
ternary (3) 1220011101011
quaternary (4) 3311312233
quinary (5) 224211043
senary (6) 33330051
septenary (7) 11362633
nonary (9) 1804334
undecimal (11) 628656
duodecimal (12) 406927
tridecimal (13) 293494
tetradecimal (14) 1c2dc3
pentadecimal (15) 14d59d

As an angle

1,007,023° = 2,797 × 360° + 103°
103° ≈ 1.798 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬七千零二十三
Chinese (financial)
壹佰萬柒仟零貳拾參
In other modern scripts
Eastern Arabic ١٠٠٧٠٢٣ Devanagari १००७०२३ Bengali ১০০৭০২৩ Tamil ௧௦௦௭௦௨௩ Thai ๑๐๐๗๐๒๓ Tibetan ༡༠༠༧༠༢༣ Khmer ១០០៧០២៣ Lao ໑໐໐໗໐໒໓ Burmese ၁၀၀၇၀၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1007021.

Hex color
#0F5DAF
RGB(15, 93, 175)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.175.

Address
0.15.93.175
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.93.175

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 1,007,023 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.