Live analysis

1,033,061

1,033,061 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.).

1,033,061 (one million thirty-three thousand sixty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFC365.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

1,033,049 1,033,050 1,033,051 1,033,052 1,033,053 1,033,054 1,033,055 1,033,056 1,033,057 1,033,058 1,033,059 1,033,060 1,033,061 1,033,062 1,033,063 1,033,064 1,033,065 1,033,066 1,033,067 1,033,068 1,033,069 1,033,070 1,033,071 1,033,072 1,033,073

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 1,603,301
Recamán's sequence: a(379,809) = 1,033,061
Square (n²): 1,067,215,029,721
Cube (n³): 1,102,498,225,818,605,981
Divisor count: 2
σ(n) — sum of divisors: 1,033,062
φ(n) — Euler's totient: 1,033,060

Primality

1,033,061 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1033061

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,033,061)

1 × 1033061

First multiples

1,033,061 · 2,066,122 (double) · 3,099,183 · 4,132,244 · 5,165,305 · 6,198,366 · 7,231,427 · 8,264,488 · 9,297,549 · 10,330,610

Sums & aliquot sequence

As a sum of two squares: 145² + 1,006²

As consecutive integers: 516,530 + 516,531

Continued fraction of √n

√1,033,061 = [1016; (2, 1, 1, 9, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 6, 1, 57, 4, 1, 2, 1, 2, 1, 3, …)]

Representations

In words: one million thirty-three thousand sixty-one
Ordinal: 1033061st
Binary: 11111100001101100101
Octal: 3741545
Hexadecimal: 0xFC365
Base64: D8Nl
One's complement: 4,293,934,234 (32-bit)
Scientific notation: 1.033061 × 10⁶
As a duration: 1,033,061 s = 11 days, 22 hours, 57 minutes, 41 seconds

In other bases

ternary (3) 1221111002112

quaternary (4) 3330031211

quinary (5) 231024221

senary (6) 34050405

septenary (7) 11531561

nonary (9) 1844075

undecimal (11) 646177

duodecimal (12) 419a05

tridecimal (13) 2a22a3

tetradecimal (14) 1cc6a1

pentadecimal (15) 15615b

As an angle

1,033,061° = 2,869 × 360° + 221°

221° ≈ 3.857 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese: 一百零三萬三千零六十一
Chinese (financial): 壹佰零參萬參仟零陸拾壹

In other modern scripts

Eastern Arabic ١٠٣٣٠٦١ Devanagari १०३३०६१ Bengali ১০৩৩০৬১ Tamil ௧௦௩௩௦௬௧ Thai ๑๐๓๓๐๖๑ Tibetan ༡༠༣༣༠༦༡ Khmer ១០៣៣០៦១ Lao ໑໐໓໓໐໖໑ Burmese ၁၀၃၃၀၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,033,057 (gap of 4)
Next prime: 1,033,063 (gap of 2)

Pair status: twin with 1033063, cousin with 1033057.

Hex color

#0FC365

RGB(15, 195, 101)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.195.101.

Address: 0.15.195.101
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.195.101

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 3, 3061 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

3061-03-01 (DMMYYYY (Euro, single-digit day))
3061-10-03 (MMDYYYY (US, single-digit day))
3061-03-10 (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 1,033,061 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,033,061 on Google Patents ↗ Look up on USPTO ↗