Live analysis

1,016,023

1,016,023 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.).

1,016,023 (one million sixteen 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, 0xF80D7.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,016,011 1,016,012 1,016,013 1,016,014 1,016,015 1,016,016 1,016,017 1,016,018 1,016,019 1,016,020 1,016,021 1,016,022 1,016,023 1,016,024 1,016,025 1,016,026 1,016,027 1,016,028 1,016,029 1,016,030 1,016,031 1,016,032 1,016,033 1,016,034 1,016,035

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 3,206,101
Recamán's sequence: a(365,945) = 1,016,023
Square (n²): 1,032,302,736,529
Cube (n³): 1,048,843,323,276,404,167
Divisor count: 2
σ(n) — sum of divisors: 1,016,024
φ(n) — Euler's totient: 1,016,022

Primality

1,016,023 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1016023

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,016,023)

1 × 1016023

First multiples

1,016,023 · 2,032,046 (double) · 3,048,069 · 4,064,092 · 5,080,115 · 6,096,138 · 7,112,161 · 8,128,184 · 9,144,207 · 10,160,230

Sums & aliquot sequence

As consecutive integers: 508,011 + 508,012

Continued fraction of √n

√1,016,023 = [1007; (1, 48, 5, 1, 6, 1, 18, 1, 8, 3, 1, 10, 2, 1, 1, 1, 1, 1, 14, 2, 2, 1, 5, 2, …)]

Representations

In words: one million sixteen thousand twenty-three
Ordinal: 1016023rd
Binary: 11111000000011010111
Octal: 3700327
Hexadecimal: 0xF80D7
Base64: D4DX
One's complement: 4,293,951,272 (32-bit)
Scientific notation: 1.016023 × 10⁶
As a duration: 1,016,023 s = 11 days, 18 hours, 13 minutes, 43 seconds

In other bases

ternary (3) 1220121201111

quaternary (4) 3320003113

quinary (5) 230003043

senary (6) 33435451

septenary (7) 11431111

nonary (9) 1817644

undecimal (11) 634398

duodecimal (12) 40bb87

tridecimal (13) 2975c8

tetradecimal (14) 1c63b1

pentadecimal (15) 15109d

As an angle

1,016,023° = 2,822 × 360° + 103°

103° ≈ 1.798 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺
Chinese: 一百零一萬六千零二十三
Chinese (financial): 壹佰零壹萬陸仟零貳拾參

In other modern scripts

Eastern Arabic ١٠١٦٠٢٣ Devanagari १०१६०२३ Bengali ১০১৬০২৩ Tamil ௧௦௧௬௦௨௩ Thai ๑๐๑๖๐๒๓ Tibetan ༡༠༡༦༠༢༣ Khmer ១០១៦០២៣ Lao ໑໐໑໖໐໒໓ Burmese ၁၀၁၆၀၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,016,011 (gap of 12)
Next prime: 1,016,027 (gap of 4)

Pair status: cousin with 1016027.

Hex color

#0F80D7

RGB(15, 128, 215)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.215.

Address: 0.15.128.215
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.215

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 6023 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6023-10-01 (MMDYYYY (US, single-digit day))
6023-01-10 (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 1,016,023 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,016,023 on Google Patents ↗ Look up on USPTO ↗