Live analysis

1,055,077

1,055,077 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.).

1,055,077 (one million fifty-five thousand seventy-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x101965.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,055,065 1,055,066 1,055,067 1,055,068 1,055,069 1,055,070 1,055,071 1,055,072 1,055,073 1,055,074 1,055,075 1,055,076 1,055,077 1,055,078 1,055,079 1,055,080 1,055,081 1,055,082 1,055,083 1,055,084 1,055,085 1,055,086 1,055,087 1,055,088 1,055,089

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 21 bits
Reversed: 7,705,501
Square (n²): 1,113,187,475,929
Cube (n³): 1,174,498,502,540,741,533
Divisor count: 2
σ(n) — sum of divisors: 1,055,078
φ(n) — Euler's totient: 1,055,076

Primality

1,055,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1055077

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,055,077)

1 × 1055077

First multiples

1,055,077 · 2,110,154 (double) · 3,165,231 · 4,220,308 · 5,275,385 · 6,330,462 · 7,385,539 · 8,440,616 · 9,495,693 · 10,550,770

Sums & aliquot sequence

As a sum of two squares: 49² + 1,026²

As consecutive integers: 527,538 + 527,539

Continued fraction of √n

√1,055,077 = [1027; (5, 1, 9, 3, 2, 24, 38, 1, 2, 1, 1, 2, 1, 8, 3, 2, 4, 9, 1, 1, 1, 1, 10, 3, …)]

Representations

In words: one million fifty-five thousand seventy-seven
Ordinal: 1055077th
Binary: 100000001100101100101
Octal: 4014545
Hexadecimal: 0x101965
Base64: EBll
One's complement: 4,293,912,218 (32-bit)
Scientific notation: 1.055077 × 10⁶
As a duration: 1,055,077 s = 12 days, 5 hours, 4 minutes, 37 seconds

In other bases

ternary (3) 1222121021221

quaternary (4) 10001211211

quinary (5) 232230302

senary (6) 34340341

septenary (7) 11653012

nonary (9) 1877257

undecimal (11) 660771

duodecimal (12) 42a6b1

tridecimal (13) 2ac30a

tetradecimal (14) 1d6709

pentadecimal (15) 15c937

As an angle

1,055,077° = 2,930 × 360° + 277°

277° ≈ 4.835 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零五萬五千零七十七
Chinese (financial): 壹佰零伍萬伍仟零柒拾柒

In other modern scripts

Eastern Arabic ١٠٥٥٠٧٧ Devanagari १०५५०७७ Bengali ১০৫৫০৭৭ Tamil ௧௦௫௫௦௭௭ Thai ๑๐๕๕๐๗๗ Tibetan ༡༠༥༥༠༧༧ Khmer ១០៥៥០៧៧ Lao ໑໐໕໕໐໗໗ Burmese ၁၀၅၅၀၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,055,063 (gap of 14)
Next prime: 1,055,083 (gap of 6)

Pair status: sexy with 1055083.

Hex color

#101965

RGB(16, 25, 101)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.101.

Address: 0.16.25.101
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.25.101

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 5077 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

5077-05-01 (DMMYYYY (Euro, single-digit day))
5077-10-05 (MMDYYYY (US, single-digit day))
5077-05-10 (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 1,055,077 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 US1,055,077 on Google Patents ↗ Look up on USPTO ↗