Live analysis

1,004,864

1,004,864 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.).

1,004,864 (one million four thousand eight hundred sixty-four) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 2,243. Its proper divisors sum to 1,275,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5540.

Abundant Number Gapful Number Happy Number Odious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,852 1,004,853 1,004,854 1,004,855 1,004,856 1,004,857 1,004,858 1,004,859 1,004,860 1,004,861 1,004,862 1,004,863 1,004,864 1,004,865 1,004,866 1,004,867 1,004,868 1,004,869 1,004,870 1,004,871 1,004,872 1,004,873 1,004,874 1,004,875 1,004,876

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,684,001
Square (n²): 1,009,751,658,496
Cube (n³): 1,014,663,090,562,924,544
Divisor count: 28
σ(n) — sum of divisors: 2,279,904
φ(n) — Euler's totient: 430,464
Sum of prime factors: 2,262

Primality

Prime factorization: 2 ⁶ × 7 × 2243

Nearest primes: 1,004,797 (−67) · 1,004,873 (+9)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 · 448 · 2243 · 4486 · 8972 · 15701 · 17944 · 31402 · 35888 · 62804 · 71776 · 125608 · 143552 · 251216 · 502432 (half) · 1004864

Aliquot sum (sum of proper divisors): 1,275,040

Factor pairs (a × b = 1,004,864)

1 × 1004864

2 × 502432

4 × 251216

7 × 143552

8 × 125608

14 × 71776

16 × 62804

28 × 35888

32 × 31402

56 × 17944

64 × 15701

112 × 8972

224 × 4486

448 × 2243

First multiples

1,004,864 · 2,009,728 (double) · 3,014,592 · 4,019,456 · 5,024,320 · 6,029,184 · 7,034,048 · 8,038,912 · 9,043,776 · 10,048,640

Sums & aliquot sequence

As consecutive integers: 143,549 + 143,550 + … + 143,555 7,787 + 7,788 + … + 7,914 674 + 675 + … + 1,569

Aliquot sequence: 1,004,864 → 1,275,040 → 1,974,248 → 1,727,482 → 981,158 → 490,582 → 245,294 → 182,890 → 146,330 → 117,082 → 83,654 → 43,114 → 21,560 → 40,000 → 59,187 → 20,893 → 1,247 — unresolved within range

Continued fraction of √n

√1,004,864 = [1002; (2, 3, 42, 2, 1, 2, 3, 2, 1, 2, 6, 1, 1, 1, 1, 2, 8, 1, 2, 1, 2, 3, 1, 6, …)]

Representations

In words: one million four thousand eight hundred sixty-four
Ordinal: 1004864th
Binary: 11110101010101000000
Octal: 3652500
Hexadecimal: 0xF5540
Base64: D1VA
One's complement: 4,293,962,431 (32-bit)
Scientific notation: 1.004864 × 10⁶
As a duration: 1,004,864 s = 11 days, 15 hours, 7 minutes, 44 seconds

In other bases

ternary (3) 1220001102012

quaternary (4) 3311111000

quinary (5) 224123424

senary (6) 33312052

septenary (7) 11353430

nonary (9) 1801365

undecimal (11) 626a73

duodecimal (12) 405628

tridecimal (13) 2924c3

tetradecimal (14) 1c22c0

pentadecimal (15) 14cb0e

As an angle

1,004,864° = 2,791 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬四千八百六十四
Chinese (financial): 壹佰萬肆仟捌佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٤٨٦٤ Devanagari १००४८६४ Bengali ১০০৪৮৬৪ Tamil ௧௦௦௪௮௬௪ Thai ๑๐๐๔๘๖๔ Tibetan ༡༠༠༤༨༦༤ Khmer ១០០៤៨៦៤ Lao ໑໐໐໔໘໖໔ Burmese ၁၀၀၄၈၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004864, here are decompositions:

67 + 1004797 = 1004864
103 + 1004761 = 1004864
127 + 1004737 = 1004864
193 + 1004671 = 1004864
313 + 1004551 = 1004864
337 + 1004527 = 1004864
463 + 1004401 = 1004864
541 + 1004323 = 1004864

Showing the first eight; more decompositions exist.

Hex color

#0F5540

RGB(15, 85, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.64.

Address: 0.15.85.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.64

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 1,004,864 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 US1,004,864 on Google Patents ↗ Look up on USPTO ↗