Live analysis

1,004,137

1,004,137 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.).

1,004,137 (one million four thousand one hundred thirty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5269.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,004,125 1,004,126 1,004,127 1,004,128 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

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 7,314,001
Square (n²): 1,008,291,114,769
Cube (n³): 1,012,462,415,110,799,353
Divisor count: 2
σ(n) — sum of divisors: 1,004,138
φ(n) — Euler's totient: 1,004,136

Primality

1,004,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004137

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,137)

1 × 1004137

First multiples

1,004,137 · 2,008,274 (double) · 3,012,411 · 4,016,548 · 5,020,685 · 6,024,822 · 7,028,959 · 8,033,096 · 9,037,233 · 10,041,370

Sums & aliquot sequence

As a sum of two squares: 516² + 859²

As consecutive integers: 502,068 + 502,069

Continued fraction of √n

√1,004,137 = [1002; (15, 14, 1, 2, 37, 2, 8, 1, 2, 1, 7, 3, 3, 1, 1, 1, 10, 1, 2, 6, 12, 2, 4, 4, …)]

Representations

In words: one million four thousand one hundred thirty-seven
Ordinal: 1004137th
Binary: 11110101001001101001
Octal: 3651151
Hexadecimal: 0xF5269
Base64: D1Jp
One's complement: 4,293,963,158 (32-bit)
Scientific notation: 1.004137 × 10⁶
As a duration: 1,004,137 s = 11 days, 14 hours, 55 minutes, 37 seconds

In other bases

ternary (3) 1220000102021

quaternary (4) 3311021221

quinary (5) 224113022

senary (6) 33304441

septenary (7) 11351341

nonary (9) 1800367

undecimal (11) 626472

duodecimal (12) 405121

tridecimal (13) 292084

tetradecimal (14) 1c1d21

pentadecimal (15) 14c7c7

As an angle

1,004,137° = 2,789 × 360° + 97°

97° ≈ 1.693 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千一百三十七
Chinese (financial): 壹佰萬肆仟壹佰參拾柒

In other modern scripts

Eastern Arabic ١٠٠٤١٣٧ Devanagari १००४१३७ Bengali ১০০৪১৩৭ Tamil ௧௦௦௪௧௩௭ Thai ๑๐๐๔๑๓๗ Tibetan ༡༠༠༤༡༣༧ Khmer ១០០៤១៣៧ Lao ໑໐໐໔໑໓໗ Burmese ၁၀၀၄၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,119 (gap of 18)
Next prime: 1,004,141 (gap of 4)

Pair status: cousin with 1004141.

Hex color

#0F5269

RGB(15, 82, 105)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.105.

Address: 0.15.82.105
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.105

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 1,004,137 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 US1,004,137 on Google Patents ↗ Look up on USPTO ↗