Live analysis

1,004,664

1,004,664 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.).

1,004,664 (one million four thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 41 × 1,021. Its proper divisors sum to 1,570,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5478.

Abundant Number Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,652 1,004,653 1,004,654 1,004,655 1,004,656 1,004,657 1,004,658 1,004,659 1,004,660 1,004,661 1,004,662 1,004,663 1,004,664 1,004,665 1,004,666 1,004,667 1,004,668 1,004,669 1,004,670 1,004,671 1,004,672 1,004,673 1,004,674 1,004,675 1,004,676

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,664,001
Square (n²): 1,009,349,752,896
Cube (n³): 1,014,057,360,143,506,944
Divisor count: 32
σ(n) — sum of divisors: 2,575,440
φ(n) — Euler's totient: 326,400
Sum of prime factors: 1,071

Primality

Prime factorization: 2 ³ × 3 × 41 × 1021

Nearest primes: 1,004,659 (−5) · 1,004,669 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 41 · 82 · 123 · 164 · 246 · 328 · 492 · 984 · 1021 · 2042 · 3063 · 4084 · 6126 · 8168 · 12252 · 24504 · 41861 · 83722 · 125583 · 167444 · 251166 · 334888 · 502332 (half) · 1004664

Aliquot sum (sum of proper divisors): 1,570,776

Factor pairs (a × b = 1,004,664)

1 × 1004664

2 × 502332

3 × 334888

4 × 251166

6 × 167444

8 × 125583

12 × 83722

24 × 41861

41 × 24504

82 × 12252

123 × 8168

164 × 6126

246 × 4084

328 × 3063

492 × 2042

984 × 1021

First multiples

1,004,664 · 2,009,328 (double) · 3,013,992 · 4,018,656 · 5,023,320 · 6,027,984 · 7,032,648 · 8,037,312 · 9,041,976 · 10,046,640

Sums & aliquot sequence

As consecutive integers: 334,887 + 334,888 + 334,889 62,784 + 62,785 + … + 62,799 24,484 + 24,485 + … + 24,524 20,907 + 20,908 + … + 20,954

Aliquot sequence: 1,004,664 → 1,570,776 → 2,356,224 → 4,521,696 → 8,501,664 → 15,690,336 → 25,832,208 → 41,156,560 → 55,194,416 → 52,310,608 → 63,931,952 → 77,631,904 → 98,643,104 → 123,304,384 → 171,132,416 → 249,819,808 → 312,275,264 — unresolved within range

Continued fraction of √n

√1,004,664 = [1002; (3, 27, 7, 1, 4, 1, 2, 2, 3, 16, 3, 1, 1, 1, 2, 2, 2, 79, 1, 3, 2, 2, 4, 4, …)]

Representations

In words: one million four thousand six hundred sixty-four
Ordinal: 1004664th
Binary: 11110101010001111000
Octal: 3652170
Hexadecimal: 0xF5478
Base64: D1R4
One's complement: 4,293,962,631 (32-bit)
Scientific notation: 1.004664 × 10⁶
As a duration: 1,004,664 s = 11 days, 15 hours, 4 minutes, 24 seconds

In other bases

ternary (3) 1220001010210

quaternary (4) 3311101320

quinary (5) 224122124

senary (6) 33311120

septenary (7) 11353023

nonary (9) 1801123

undecimal (11) 626901

duodecimal (12) 4054a0

tridecimal (13) 29239b

tetradecimal (14) 1c21ba

pentadecimal (15) 14ca29

As an angle

1,004,664° = 2,790 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬四千六百六十四
Chinese (financial): 壹佰萬肆仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٤٦٦٤ Devanagari १००४६६४ Bengali ১০০৪৬৬৪ Tamil ௧௦௦௪௬௬௪ Thai ๑๐๐๔๖๖๔ Tibetan ༡༠༠༤༦༦༤ Khmer ១០០៤៦៦៤ Lao ໑໐໐໔໖໖໔ Burmese ၁၀၀၄၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004664, here are decompositions:

5 + 1004659 = 1004664
7 + 1004657 = 1004664
13 + 1004651 = 1004664
97 + 1004567 = 1004664
103 + 1004561 = 1004664
113 + 1004551 = 1004664
127 + 1004537 = 1004664
137 + 1004527 = 1004664

Showing the first eight; more decompositions exist.

Hex color

#0F5478

RGB(15, 84, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.84.120.

Address: 0.15.84.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.84.120

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 1,004,664 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 US1,004,664 on Google Patents ↗ Look up on USPTO ↗