Live analysis

1,004,141

1,004,141 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.).

1,004,141 (one million four thousand one hundred forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF526D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,004,129 1,004,130 1,004,131 1,004,132 1,004,133 1,004,134 1,004,135 1,004,136 1,004,137 1,004,138 1,004,139 1,004,140 1,004,141 1,004,142 1,004,143 1,004,144 1,004,145 1,004,146 1,004,147 1,004,148 1,004,149 1,004,150 1,004,151 1,004,152 1,004,153

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 1,414,001
Square (n²): 1,008,299,147,881
Cube (n³): 1,012,474,514,652,375,221
Divisor count: 2
σ(n) — sum of divisors: 1,004,142
φ(n) — Euler's totient: 1,004,140

Primality

1,004,141 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004141

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,141)

1 × 1004141

First multiples

1,004,141 · 2,008,282 (double) · 3,012,423 · 4,016,564 · 5,020,705 · 6,024,846 · 7,028,987 · 8,033,128 · 9,037,269 · 10,041,410

Sums & aliquot sequence

As a sum of two squares: 554² + 835²

As consecutive integers: 502,070 + 502,071

Continued fraction of √n

√1,004,141 = [1002; (14, 1, 1, 1, 2, 4, 2, 4, 1, 5, 4, 1, 1, 5, 4, 1, 1, 99, 1, 1, 1, 7, 1, 2, …)]

Representations

In words: one million four thousand one hundred forty-one
Ordinal: 1004141st
Binary: 11110101001001101101
Octal: 3651155
Hexadecimal: 0xF526D
Base64: D1Jt
One's complement: 4,293,963,154 (32-bit)
Scientific notation: 1.004141 × 10⁶
As a duration: 1,004,141 s = 11 days, 14 hours, 55 minutes, 41 seconds

In other bases

ternary (3) 1220000102102

quaternary (4) 3311021231

quinary (5) 224113031

senary (6) 33304445

septenary (7) 11351345

nonary (9) 1800372

undecimal (11) 626476

duodecimal (12) 405125

tridecimal (13) 292088

tetradecimal (14) 1c1d25

pentadecimal (15) 14c7cb

As an angle

1,004,141° = 2,789 × 360° + 101°

101° ≈ 1.763 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬四千一百四十一
Chinese (financial): 壹佰萬肆仟壹佰肆拾壹

In other modern scripts

Eastern Arabic ١٠٠٤١٤١ Devanagari १००४१४१ Bengali ১০০৪১৪১ Tamil ௧௦௦௪௧௪௧ Thai ๑๐๐๔๑๔๑ Tibetan ༡༠༠༤༡༤༡ Khmer ១០០៤១៤១ Lao ໑໐໐໔໑໔໑ Burmese ၁၀၀၄၁၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,137 (gap of 4)
Next prime: 1,004,161 (gap of 20)

Pair status: cousin with 1004137.

Hex color

#0F526D

RGB(15, 82, 109)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.109.

Address: 0.15.82.109
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.109

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 1,004,141 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 US1,004,141 on Google Patents ↗ Look up on USPTO ↗