Live analysis

1,016,441

1,016,441 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.).

1,016,441 (one million sixteen thousand four 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, 0xF8279.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,016,429 1,016,430 1,016,431 1,016,432 1,016,433 1,016,434 1,016,435 1,016,436 1,016,437 1,016,438 1,016,439 1,016,440 1,016,441 1,016,442 1,016,443 1,016,444 1,016,445 1,016,446 1,016,447 1,016,448 1,016,449 1,016,450 1,016,451 1,016,452 1,016,453

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 1,446,101
Square (n²): 1,033,152,306,481
Cube (n³): 1,050,138,363,551,854,121
Divisor count: 2
σ(n) — sum of divisors: 1,016,442
φ(n) — Euler's totient: 1,016,440

Primality

1,016,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1016441

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,016,441)

1 × 1016441

First multiples

1,016,441 · 2,032,882 (double) · 3,049,323 · 4,065,764 · 5,082,205 · 6,098,646 · 7,115,087 · 8,131,528 · 9,147,969 · 10,164,410

Sums & aliquot sequence

As a sum of two squares: 640² + 779²

As consecutive integers: 508,220 + 508,221

Continued fraction of √n

√1,016,441 = [1008; (5, 2, 1, 6, 1, 11, 1, 2, 1, 2, 1, 4, 7, 1, 19, 1, 10, 155, 69, 1, 1, 10, 18, 1, …)]

Representations

In words: one million sixteen thousand four hundred forty-one
Ordinal: 1016441st
Binary: 11111000001001111001
Octal: 3701171
Hexadecimal: 0xF8279
Base64: D4J5
One's complement: 4,293,950,854 (32-bit)
Scientific notation: 1.016441 × 10⁶
As a duration: 1,016,441 s = 11 days, 18 hours, 20 minutes, 41 seconds

In other bases

ternary (3) 1220122021222

quaternary (4) 3320021321

quinary (5) 230011231

senary (6) 33441425

septenary (7) 11432246

nonary (9) 1818258

undecimal (11) 634738

duodecimal (12) 410275

tridecimal (13) 29785a

tetradecimal (14) 1c65cd

pentadecimal (15) 15127b

As an angle

1,016,441° = 2,823 × 360° + 161°

161° ≈ 2.81 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Chinese: 一百零一萬六千四百四十一
Chinese (financial): 壹佰零壹萬陸仟肆佰肆拾壹

In other modern scripts

Eastern Arabic ١٠١٦٤٤١ Devanagari १०१६४४१ Bengali ১০১৬৪৪১ Tamil ௧௦௧௬௪௪௧ Thai ๑๐๑๖๔๔๑ Tibetan ༡༠༡༦༤༤༡ Khmer ១០១៦៤៤១ Lao ໑໐໑໖໔໔໑ Burmese ၁၀၁၆၄၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,016,423 (gap of 18)
Next prime: 1,016,453 (gap of 12)

Hex color

#0F8279

RGB(15, 130, 121)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.130.121.

Address: 0.15.130.121
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.130.121

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 6441 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6441-10-01 (MMDYYYY (US, single-digit day))
6441-01-10 (DDMYYYY (Euro, single-digit month))

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 1,016,441 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 US1,016,441 on Google Patents ↗ Look up on USPTO ↗