Live analysis

1,005,041

1,005,041 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.).

1,005,041 (one million five thousand forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF55F1.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,005,029 1,005,030 1,005,031 1,005,032 1,005,033 1,005,034 1,005,035 1,005,036 1,005,037 1,005,038 1,005,039 1,005,040 1,005,041 1,005,042 1,005,043 1,005,044 1,005,045 1,005,046 1,005,047 1,005,048 1,005,049 1,005,050 1,005,051 1,005,052 1,005,053

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 1,405,001
Square (n²): 1,010,107,411,681
Cube (n³): 1,015,199,363,143,283,921
Divisor count: 2
σ(n) — sum of divisors: 1,005,042
φ(n) — Euler's totient: 1,005,040

Primality

1,005,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1005041

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,005,041)

1 × 1005041

First multiples

1,005,041 · 2,010,082 (double) · 3,015,123 · 4,020,164 · 5,025,205 · 6,030,246 · 7,035,287 · 8,040,328 · 9,045,369 · 10,050,410

Sums & aliquot sequence

As a sum of two squares: 71² + 1,000²

As consecutive integers: 502,520 + 502,521

Continued fraction of √n

√1,005,041 = [1002; (1, 1, 13, 1, 12, 3, 1, 5, 1, 1, 22, 4, 11, 6, 1, 8, 1, 2, 1, 3, 3, 2, 3, 1, …)]

Representations

In words: one million five thousand forty-one
Ordinal: 1005041st
Binary: 11110101010111110001
Octal: 3652761
Hexadecimal: 0xF55F1
Base64: D1Xx
One's complement: 4,293,962,254 (32-bit)
Scientific notation: 1.005041 × 10⁶
As a duration: 1,005,041 s = 11 days, 15 hours, 10 minutes, 41 seconds

In other bases

ternary (3) 1220001122202

quaternary (4) 3311113301

quinary (5) 224130131

senary (6) 33312545

septenary (7) 11354102

nonary (9) 1801582

undecimal (11) 627114

duodecimal (12) 405755

tridecimal (13) 2925cb

tetradecimal (14) 1c23a9

pentadecimal (15) 14cbcb

As an angle

1,005,041° = 2,791 × 360° + 281°

281° ≈ 4.904 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬五千零四十一
Chinese (financial): 壹佰萬伍仟零肆拾壹

In other modern scripts

Eastern Arabic ١٠٠٥٠٤١ Devanagari १००५०४१ Bengali ১০০৫০৪১ Tamil ௧௦௦௫௦௪௧ Thai ๑๐๐๕๐๔๑ Tibetan ༡༠༠༥༠༤༡ Khmer ១០០៥០៤១ Lao ໑໐໐໕໐໔໑ Burmese ၁၀၀၅၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,005,029 (gap of 12)
Next prime: 1,005,049 (gap of 8)

Hex color

#0F55F1

RGB(15, 85, 241)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.241.

Address: 0.15.85.241
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.241

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 1,005,041 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 US1,005,041 on Google Patents ↗ Look up on USPTO ↗