Live analysis

1,004,077

1,004,077 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.).

1,004,077 (one million four 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, 0xF522D.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,065 1,004,066 1,004,067 1,004,068 1,004,069 1,004,070 1,004,071 1,004,072 1,004,073 1,004,074 1,004,075 1,004,076 1,004,077 1,004,078 1,004,079 1,004,080 1,004,081 1,004,082 1,004,083 1,004,084 1,004,085 1,004,086 1,004,087 1,004,088 1,004,089

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 7,704,001
Square (n²): 1,008,170,621,929
Cube (n³): 1,012,280,933,554,604,533
Divisor count: 2
σ(n) — sum of divisors: 1,004,078
φ(n) — Euler's totient: 1,004,076

Primality

1,004,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004077

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,077)

1 × 1004077

First multiples

1,004,077 · 2,008,154 (double) · 3,012,231 · 4,016,308 · 5,020,385 · 6,024,462 · 7,028,539 · 8,032,616 · 9,036,693 · 10,040,770

Sums & aliquot sequence

As a sum of two squares: 669² + 746²

As consecutive integers: 502,038 + 502,039

Continued fraction of √n

√1,004,077 = [1002; (27, 2, 4, 1, 3, 3, 55, 2, 1, 3, 5, 5, 3, 6, 11, 6, 10, 2, 3, 1, 1, 1, 1, 1, …)]

Representations

In words: one million four thousand seventy-seven
Ordinal: 1004077th
Binary: 11110101001000101101
Octal: 3651055
Hexadecimal: 0xF522D
Base64: D1It
One's complement: 4,293,963,218 (32-bit)
Scientific notation: 1.004077 × 10⁶
As a duration: 1,004,077 s = 11 days, 14 hours, 54 minutes, 37 seconds

In other bases

ternary (3) 1220000100001

quaternary (4) 3311020231

quinary (5) 224112302

senary (6) 33304301

septenary (7) 11351224

nonary (9) 1800301

undecimal (11) 626418

duodecimal (12) 405091

tridecimal (13) 292039

tetradecimal (14) 1c1cbb

pentadecimal (15) 14c787

As an angle

1,004,077° = 2,789 × 360° + 37°

37° ≈ 0.646 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零七十七
Chinese (financial): 壹佰萬肆仟零柒拾柒

In other modern scripts

Eastern Arabic ١٠٠٤٠٧٧ Devanagari १००४०७७ Bengali ১০০৪০৭৭ Tamil ௧௦௦௪௦௭௭ Thai ๑๐๐๔๐๗๗ Tibetan ༡༠༠༤༠༧༧ Khmer ១០០៤០៧៧ Lao ໑໐໐໔໐໗໗ Burmese ၁၀၀၄၀၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,063 (gap of 14)
Next prime: 1,004,089 (gap of 12)

Hex color

#0F522D

RGB(15, 82, 45)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.45.

Address: 0.15.82.45
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.45

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 1,004,077 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 US1,004,077 on Google Patents ↗ Look up on USPTO ↗