Live analysis

1,004,064

1,004,064 is a composite number, even.

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.).

1,004,064 (one million four thousand sixty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 10,459. Its proper divisors sum to 1,631,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5220.

Abundant Number Arithmetic Number Evil Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,052 1,004,053 1,004,054 1,004,055 1,004,056 1,004,057 1,004,058 1,004,059 1,004,060 1,004,061 1,004,062 1,004,063 1,004,064 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,604,001
Square (n²): 1,008,144,516,096
Cube (n³): 1,012,241,615,409,414,144
Divisor count: 24
σ(n) — sum of divisors: 2,635,920
φ(n) — Euler's totient: 334,656
Sum of prime factors: 10,472

Primality

Prime factorization: 2 ⁵ × 3 × 10459

Nearest primes: 1,004,063 (−1) · 1,004,077 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 10459 · 20918 · 31377 · 41836 · 62754 · 83672 · 125508 · 167344 · 251016 · 334688 · 502032 (half) · 1004064

Aliquot sum (sum of proper divisors): 1,631,856

Factor pairs (a × b = 1,004,064)

1 × 1004064

2 × 502032

3 × 334688

4 × 251016

6 × 167344

8 × 125508

12 × 83672

16 × 62754

24 × 41836

32 × 31377

48 × 20918

96 × 10459

First multiples

1,004,064 · 2,008,128 (double) · 3,012,192 · 4,016,256 · 5,020,320 · 6,024,384 · 7,028,448 · 8,032,512 · 9,036,576 · 10,040,640

Sums & aliquot sequence

As consecutive integers: 334,687 + 334,688 + 334,689 15,657 + 15,658 + … + 15,720 5,134 + 5,135 + … + 5,325

Aliquot sequence: 1,004,064 → 1,631,856 → 2,583,896 → 2,953,144 → 2,584,016 → 2,596,084 → 2,186,316 → 3,843,708 → 6,217,476 → 8,289,996 → 14,439,732 → 21,235,404 → 29,803,668 → 40,416,300 → 89,523,300 → 169,498,316 → 181,420,084 — unresolved within range

Continued fraction of √n

√1,004,064 = [1002; (33, 2, 2, 79, 1, 3, 5, 3, 62, 3, 5, 3, 1, 79, 2, 2, 33, 2004)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million four thousand sixty-four
Ordinal: 1004064th
Binary: 11110101001000100000
Octal: 3651040
Hexadecimal: 0xF5220
Base64: D1Ig
One's complement: 4,293,963,231 (32-bit)
Scientific notation: 1.004064 × 10⁶
As a duration: 1,004,064 s = 11 days, 14 hours, 54 minutes, 24 seconds

In other bases

ternary (3) 1220000022120

quaternary (4) 3311020200

quinary (5) 224112224

senary (6) 33304240

septenary (7) 11351205

nonary (9) 1800276

undecimal (11) 626406

duodecimal (12) 405080

tridecimal (13) 292029

tetradecimal (14) 1c1cac

pentadecimal (15) 14c779

As an angle

1,004,064° = 2,789 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零六十四
Chinese (financial): 壹佰萬肆仟零陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٤٠٦٤ Devanagari १००४०६४ Bengali ১০০৪০৬৪ Tamil ௧௦௦௪௦௬௪ Thai ๑๐๐๔๐๖๔ Tibetan ༡༠༠༤༠༦༤ Khmer ១០០៤០៦៤ Lao ໑໐໐໔໐໖໔ Burmese ၁၀၀၄၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004064, here are decompositions:

7 + 1004057 = 1004064
11 + 1004053 = 1004064
31 + 1004033 = 1004064
37 + 1004027 = 1004064
101 + 1003963 = 1004064
107 + 1003957 = 1004064
151 + 1003913 = 1004064
157 + 1003907 = 1004064

Showing the first eight; more decompositions exist.

Hex color

#0F5220

RGB(15, 82, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.32.

Address: 0.15.82.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.32

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 1,004,064 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 US1,004,064 on Google Patents ↗ Look up on USPTO ↗