Live analysis

1,008,041

1,008,041 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.).

1,008,041 (one million eight 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, 0xF61A9.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

1,008,029 1,008,030 1,008,031 1,008,032 1,008,033 1,008,034 1,008,035 1,008,036 1,008,037 1,008,038 1,008,039 1,008,040 1,008,041 1,008,042 1,008,043 1,008,044 1,008,045 1,008,046 1,008,047 1,008,048 1,008,049 1,008,050 1,008,051 1,008,052 1,008,053

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 1,408,001
Recamán's sequence: a(349,369) = 1,008,041
Square (n²): 1,016,146,657,681
Cube (n³): 1,024,317,492,955,412,921
Divisor count: 2
σ(n) — sum of divisors: 1,008,042
φ(n) — Euler's totient: 1,008,040

Primality

1,008,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1008041

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,008,041)

1 × 1008041

First multiples

1,008,041 · 2,016,082 (double) · 3,024,123 · 4,032,164 · 5,040,205 · 6,048,246 · 7,056,287 · 8,064,328 · 9,072,369 · 10,080,410

Sums & aliquot sequence

As a sum of two squares: 5² + 1,004²

As consecutive integers: 504,020 + 504,021

Continued fraction of √n

√1,008,041 = [1004; (80, 3, 8, 3, 10, 1, 3, 2, 2, 2, 9, 1, 1, 1, 2, 250, 1, 1, 1, 2, 9, 1, 1, 1, …)]

Representations

In words: one million eight thousand forty-one
Ordinal: 1008041st
Binary: 11110110000110101001
Octal: 3660651
Hexadecimal: 0xF61A9
Base64: D2Gp
One's complement: 4,293,959,254 (32-bit)
Scientific notation: 1.008041 × 10⁶
As a duration: 1,008,041 s = 11 days, 16 hours, 41 seconds

In other bases

ternary (3) 1220012202212

quaternary (4) 3312012221

quinary (5) 224224131

senary (6) 33334505

septenary (7) 11365616

nonary (9) 1805685

undecimal (11) 6293a1

duodecimal (12) 407435

tridecimal (13) 293a98

tetradecimal (14) 1c350d

pentadecimal (15) 14da2b

As an angle

1,008,041° = 2,800 × 360° + 41°

41° ≈ 0.716 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬八千零四十一
Chinese (financial): 壹佰萬捌仟零肆拾壹

In other modern scripts

Eastern Arabic ١٠٠٨٠٤١ Devanagari १००८०४१ Bengali ১০০৮০৪১ Tamil ௧௦௦௮௦௪௧ Thai ๑๐๐๘๐๔๑ Tibetan ༡༠༠༨༠༤༡ Khmer ១០០៨០៤១ Lao ໑໐໐໘໐໔໑ Burmese ၁၀၀၈၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,008,037 (gap of 4)
Next prime: 1,008,043 (gap of 2)

Pair status: twin with 1008043, cousin with 1008037.

Hex color

#0F61A9

RGB(15, 97, 169)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.169.

Address: 0.15.97.169
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.169

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 1,008,041 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 US1,008,041 on Google Patents ↗ Look up on USPTO ↗