Live analysis

1,004,117

1,004,117 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.).

1,004,117 (one million four thousand one hundred seventeen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5255.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,004,105 1,004,106 1,004,107 1,004,108 1,004,109 1,004,110 1,004,111 1,004,112 1,004,113 1,004,114 1,004,115 1,004,116 1,004,117 1,004,118 1,004,119 1,004,120 1,004,121 1,004,122 1,004,123 1,004,124 1,004,125 1,004,126 1,004,127 1,004,128 1,004,129

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 7,114,001
Square (n²): 1,008,250,949,689
Cube (n³): 1,012,401,918,848,869,613
Divisor count: 2
σ(n) — sum of divisors: 1,004,118
φ(n) — Euler's totient: 1,004,116

Primality

1,004,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004117

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,117)

1 × 1004117

First multiples

1,004,117 · 2,008,234 (double) · 3,012,351 · 4,016,468 · 5,020,585 · 6,024,702 · 7,028,819 · 8,032,936 · 9,037,053 · 10,041,170

Sums & aliquot sequence

As a sum of two squares: 46² + 1,001²

As consecutive integers: 502,058 + 502,059

Continued fraction of √n

√1,004,117 = [1002; (17, 1, 2, 1, 3, 2, 2, 1, 1, 1, 2, 4, 1, 9, 1, 5, 2, 53, 1, 2, 2, 1, 1, 1, …)]

Representations

In words: one million four thousand one hundred seventeen
Ordinal: 1004117th
Binary: 11110101001001010101
Octal: 3651125
Hexadecimal: 0xF5255
Base64: D1JV
One's complement: 4,293,963,178 (32-bit)
Scientific notation: 1.004117 × 10⁶
As a duration: 1,004,117 s = 11 days, 14 hours, 55 minutes, 17 seconds

In other bases

ternary (3) 1220000101112

quaternary (4) 3311021111

quinary (5) 224112432

senary (6) 33304405

septenary (7) 11351312

nonary (9) 1800345

undecimal (11) 626454

duodecimal (12) 405105

tridecimal (13) 29206a

tetradecimal (14) 1c1d09

pentadecimal (15) 14c7b2

As an angle

1,004,117° = 2,789 × 360° + 77°

77° ≈ 1.344 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千一百一十七
Chinese (financial): 壹佰萬肆仟壹佰壹拾柒

In other modern scripts

Eastern Arabic ١٠٠٤١١٧ Devanagari १००४११७ Bengali ১০০৪১১৭ Tamil ௧௦௦௪௧௧௭ Thai ๑๐๐๔๑๑๗ Tibetan ༡༠༠༤༡༡༧ Khmer ១០០៤១១៧ Lao ໑໐໐໔໑໑໗ Burmese ၁၀၀၄၁၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,089 (gap of 28)
Next prime: 1,004,119 (gap of 2)

Pair status: twin with 1004119.

Hex color

#0F5255

RGB(15, 82, 85)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.85.

Address: 0.15.82.85
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.85

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 1,004,117 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 US1,004,117 on Google Patents ↗ Look up on USPTO ↗