Live analysis

1,005,029

1,005,029 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.).

1,005,029 (one million five thousand twenty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF55E5.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,005,017 1,005,018 1,005,019 1,005,020 1,005,021 1,005,022 1,005,023 1,005,024 1,005,025 1,005,026 1,005,027 1,005,028 1,005,029 1,005,030 1,005,031 1,005,032 1,005,033 1,005,034 1,005,035 1,005,036 1,005,037 1,005,038 1,005,039 1,005,040 1,005,041

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 9,205,001
Square (n²): 1,010,083,290,841
Cube (n³): 1,015,162,999,710,639,389
Divisor count: 2
σ(n) — sum of divisors: 1,005,030
φ(n) — Euler's totient: 1,005,028

Primality

1,005,029 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1005029

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,005,029)

1 × 1005029

First multiples

1,005,029 · 2,010,058 (double) · 3,015,087 · 4,020,116 · 5,025,145 · 6,030,174 · 7,035,203 · 8,040,232 · 9,045,261 · 10,050,290

Sums & aliquot sequence

As a sum of two squares: 95² + 998²

As consecutive integers: 502,514 + 502,515

Continued fraction of √n

√1,005,029 = [1002; (1, 1, 21, 1, 1, 7, 18, 3, 1, 4, 1, 1, 1, 6, 2, 2, 2, 1, 1, 56, 1, 2, 2, 1, …)]

Representations

In words: one million five thousand twenty-nine
Ordinal: 1005029th
Binary: 11110101010111100101
Octal: 3652745
Hexadecimal: 0xF55E5
Base64: D1Xl
One's complement: 4,293,962,266 (32-bit)
Scientific notation: 1.005029 × 10⁶
As a duration: 1,005,029 s = 11 days, 15 hours, 10 minutes, 29 seconds

In other bases

ternary (3) 1220001122022

quaternary (4) 3311113211

quinary (5) 224130104

senary (6) 33312525

septenary (7) 11354054

nonary (9) 1801568

undecimal (11) 627103

duodecimal (12) 405745

tridecimal (13) 2925bc

tetradecimal (14) 1c239b

pentadecimal (15) 14cbbe

As an angle

1,005,029° = 2,791 × 360° + 269°

269° ≈ 4.695 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬五千零二十九
Chinese (financial): 壹佰萬伍仟零貳拾玖

In other modern scripts

Eastern Arabic ١٠٠٥٠٢٩ Devanagari १००५०२९ Bengali ১০০৫০২৯ Tamil ௧௦௦௫௦௨௯ Thai ๑๐๐๕๐๒๙ Tibetan ༡༠༠༥༠༢༩ Khmer ១០០៥០២៩ Lao ໑໐໐໕໐໒໙ Burmese ၁၀၀၅၀၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,005,019 (gap of 10)
Next prime: 1,005,041 (gap of 12)

Hex color

#0F55E5

RGB(15, 85, 229)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.229.

Address: 0.15.85.229
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.229

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 1,005,029 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 US1,005,029 on Google Patents ↗ Look up on USPTO ↗