Live analysis

984,004

984,004 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.).

984,004 (nine hundred eighty-four thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 113 × 311. Its proper divisors sum to 1,007,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF03C4.

Abundant Number Arithmetic Number Cube-Free Odious Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

983,992 983,993 983,994 983,995 983,996 983,997 983,998 983,999 984,000 984,001 984,002 984,003 984,004 984,005 984,006 984,007 984,008 984,009 984,010 984,011 984,012 984,013 984,014 984,015 984,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 400,489
Square (n²): 968,263,872,016
Cube (n³): 952,775,523,119,232,064
Divisor count: 24
σ(n) — sum of divisors: 1,991,808
φ(n) — Euler's totient: 416,640
Sum of prime factors: 435

Primality

Prime factorization: 2 ² × 7 × 113 × 311

Nearest primes: 983,993 (−11) · 984,007 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 113 · 226 · 311 · 452 · 622 · 791 · 1244 · 1582 · 2177 · 3164 · 4354 · 8708 · 35143 · 70286 · 140572 · 246001 · 492002 (half) · 984004

Aliquot sum (sum of proper divisors): 1,007,804

Factor pairs (a × b = 984,004)

1 × 984004

2 × 492002

4 × 246001

7 × 140572

14 × 70286

28 × 35143

113 × 8708

226 × 4354

311 × 3164

452 × 2177

622 × 1582

791 × 1244

First multiples

984,004 · 1,968,008 (double) · 2,952,012 · 3,936,016 · 4,920,020 · 5,904,024 · 6,888,028 · 7,872,032 · 8,856,036 · 9,840,040

Sums & aliquot sequence

As consecutive integers: 140,569 + 140,570 + … + 140,575 122,997 + 122,998 + … + 123,004 17,544 + 17,545 + … + 17,599 8,652 + 8,653 + … + 8,764

Aliquot sequence: 984,004 → 1,007,804 → 1,007,860 → 1,524,236 → 1,524,292 → 1,902,908 → 1,902,964 → 2,241,036 → 4,233,796 → 4,385,402 → 3,384,154 → 1,708,154 → 1,220,134 → 624,434 → 312,220 → 356,084 → 267,070 — unresolved within range

Continued fraction of √n

√984,004 = [991; (1, 32, 15, 8, 1, 3, 63, 1, 2, 1, 6, 6, 9, 15, 2, 1, 1, 3, 1, 1, 3, 1, 1, 4, …)]

Representations

In words: nine hundred eighty-four thousand four
Ordinal: 984004th
Binary: 11110000001111000100
Octal: 3601704
Hexadecimal: 0xF03C4
Base64: DwPE
One's complement: 4,293,983,291 (32-bit)
Scientific notation: 9.84004 × 10⁵
As a duration: 984,004 s = 11 days, 9 hours, 20 minutes, 4 seconds

In other bases

ternary (3) 1211222210121

quaternary (4) 3300033010

quinary (5) 222442004

senary (6) 33031324

septenary (7) 11235550

nonary (9) 1758717

undecimal (11) 61232a

duodecimal (12) 3b5544

tridecimal (13) 285b68

tetradecimal (14) 1b8860

pentadecimal (15) 146854

As an angle

984,004° = 2,733 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπδδʹ
Chinese: 九十八萬四千零四
Chinese (financial): 玖拾捌萬肆仟零肆

In other modern scripts

Eastern Arabic ٩٨٤٠٠٤ Devanagari ९८४००४ Bengali ৯৮৪০০৪ Tamil ௯௮௪௦௦௪ Thai ๙๘๔๐๐๔ Tibetan ༩༨༤༠༠༤ Khmer ៩៨៤០០៤ Lao ໙໘໔໐໐໔ Burmese ၉၈၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 984004, here are decompositions:

11 + 983993 = 984004
17 + 983987 = 984004
53 + 983951 = 984004
191 + 983813 = 984004
227 + 983777 = 984004
233 + 983771 = 984004
491 + 983513 = 984004
557 + 983447 = 984004

Showing the first eight; more decompositions exist.

Hex color

#0F03C4

RGB(15, 3, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.3.196.

Address: 0.15.3.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.3.196

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 984,004 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US984,004 on Google Patents ↗ Look up on USPTO ↗