Live analysis

1,004,161

1,004,161 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.).

1,004,161 (one million four thousand one hundred sixty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5281.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,004,149 1,004,150 1,004,151 1,004,152 1,004,153 1,004,154 1,004,155 1,004,156 1,004,157 1,004,158 1,004,159 1,004,160 1,004,161 1,004,162 1,004,163 1,004,164 1,004,165 1,004,166 1,004,167 1,004,168 1,004,169 1,004,170 1,004,171 1,004,172 1,004,173

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 1,614,001
Square (n²): 1,008,339,313,921
Cube (n³): 1,012,535,013,806,225,281
Divisor count: 2
σ(n) — sum of divisors: 1,004,162
φ(n) — Euler's totient: 1,004,160

Primality

1,004,161 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004161

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,161)

1 × 1004161

First multiples

1,004,161 · 2,008,322 (double) · 3,012,483 · 4,016,644 · 5,020,805 · 6,024,966 · 7,029,127 · 8,033,288 · 9,037,449 · 10,041,610

Sums & aliquot sequence

As a sum of two squares: 560² + 831²

As consecutive integers: 502,080 + 502,081

Continued fraction of √n

√1,004,161 = [1002; (12, 1, 3, 3, 1, 27, 14, 5, 1, 1, 1, 1, 1, 5, 2, 1, 11, 2, 5, 1, 12, 11, 1, 5, …)]

Representations

In words: one million four thousand one hundred sixty-one
Ordinal: 1004161st
Binary: 11110101001010000001
Octal: 3651201
Hexadecimal: 0xF5281
Base64: D1KB
One's complement: 4,293,963,134 (32-bit)
Scientific notation: 1.004161 × 10⁶
As a duration: 1,004,161 s = 11 days, 14 hours, 56 minutes, 1 second

In other bases

ternary (3) 1220000110011

quaternary (4) 3311022001

quinary (5) 224113121

senary (6) 33304521

septenary (7) 11351404

nonary (9) 1800404

undecimal (11) 626494

duodecimal (12) 405141

tridecimal (13) 2920a2

tetradecimal (14) 1c1d3b

pentadecimal (15) 14c7e1

As an angle

1,004,161° = 2,789 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬四千一百六十一
Chinese (financial): 壹佰萬肆仟壹佰陸拾壹

In other modern scripts

Eastern Arabic ١٠٠٤١٦١ Devanagari १००४१६१ Bengali ১০০৪১৬১ Tamil ௧௦௦௪௧௬௧ Thai ๑๐๐๔๑๖๑ Tibetan ༡༠༠༤༡༦༡ Khmer ១០០៤១៦១ Lao ໑໐໐໔໑໖໑ Burmese ၁၀၀၄၁၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,141 (gap of 20)
Next prime: 1,004,167 (gap of 6)

Pair status: sexy with 1004167.

Hex color

#0F5281

RGB(15, 82, 129)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.129.

Address: 0.15.82.129
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.129

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 1,004,161 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 US1,004,161 on Google Patents ↗ Look up on USPTO ↗