Live analysis

1,004,461

1,004,461 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.).

1,004,461 (one million four thousand four 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, 0xF53AD.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,004,449 1,004,450 1,004,451 1,004,452 1,004,453 1,004,454 1,004,455 1,004,456 1,004,457 1,004,458 1,004,459 1,004,460 1,004,461 1,004,462 1,004,463 1,004,464 1,004,465 1,004,466 1,004,467 1,004,468 1,004,469 1,004,470 1,004,471 1,004,472 1,004,473

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 1,644,001
Square (n²): 1,008,941,900,521
Cube (n³): 1,013,442,790,339,224,181
Divisor count: 2
σ(n) — sum of divisors: 1,004,462
φ(n) — Euler's totient: 1,004,460

Primality

1,004,461 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004461

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,461)

1 × 1004461

First multiples

1,004,461 · 2,008,922 (double) · 3,013,383 · 4,017,844 · 5,022,305 · 6,026,766 · 7,031,227 · 8,035,688 · 9,040,149 · 10,044,610

Sums & aliquot sequence

As a sum of two squares: 531² + 850²

As consecutive integers: 502,230 + 502,231

Continued fraction of √n

√1,004,461 = [1002; (4, 2, 1, 1, 2, 5, 1, 1, 25, 1, 4, 1, 19, 4, 1, 2, 2, 5, 2, 1, 5, 4, 1, 3, …)]

Representations

In words: one million four thousand four hundred sixty-one
Ordinal: 1004461st
Binary: 11110101001110101101
Octal: 3651655
Hexadecimal: 0xF53AD
Base64: D1Ot
One's complement: 4,293,962,834 (32-bit)
Scientific notation: 1.004461 × 10⁶
As a duration: 1,004,461 s = 11 days, 15 hours, 1 minute, 1 second

In other bases

ternary (3) 1220000212021

quaternary (4) 3311032231

quinary (5) 224120321

senary (6) 33310141

septenary (7) 11352313

nonary (9) 1800767

undecimal (11) 626737

duodecimal (12) 405351

tridecimal (13) 292273

tetradecimal (14) 1c20b3

pentadecimal (15) 14c941

As an angle

1,004,461° = 2,790 × 360° + 61°

61° ≈ 1.065 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬四千四百六十一
Chinese (financial): 壹佰萬肆仟肆佰陸拾壹

In other modern scripts

Eastern Arabic ١٠٠٤٤٦١ Devanagari १००४४६१ Bengali ১০০৪৪৬১ Tamil ௧௦௦௪௪௬௧ Thai ๑๐๐๔๔๖๑ Tibetan ༡༠༠༤༤༦༡ Khmer ១០០៤៤៦១ Lao ໑໐໐໔໔໖໑ Burmese ၁၀၀၄၄၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,453 (gap of 8)
Next prime: 1,004,477 (gap of 16)

Hex color

#0F53AD

RGB(15, 83, 173)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.173.

Address: 0.15.83.173
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.173

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 1,004,461 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 US1,004,461 on Google Patents ↗ Look up on USPTO ↗