Live analysis

984,064

984,064 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.).

984,064 (nine hundred eighty-four thousand sixty-four) is an even 6-digit number. It is a composite number with 33 divisors, and factors as 2¹⁰ × 31². Its proper divisors sum to 1,048,607, more than the number itself, making it an abundant number. It is a perfect square (992²). Written other ways, in hexadecimal, 0xF0400.

Abundant Number Harshad / Niven Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

984,052 984,053 984,054 984,055 984,056 984,057 984,058 984,059 984,060 984,061 984,062 984,063 984,064 984,065 984,066 984,067 984,068 984,069 984,070 984,071 984,072 984,073 984,074 984,075 984,076

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 31
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 460,489
Square (n²): 968,381,956,096
Cube (n³): 952,949,821,243,654,144
Square root (√n): 992
Divisor count: 33
σ(n) — sum of divisors: 2,032,671
φ(n) — Euler's totient: 476,160
Sum of prime factors: 82

Primality

Prime factorization: 2 ¹⁰ × 31 ²

Nearest primes: 984,059 (−5) · 984,083 (+19)

Divisors & multiples

All divisors (33)

1 · 2 · 4 · 8 · 16 · 31 · 32 · 62 · 64 · 124 · 128 · 248 · 256 · 496 · 512 · 961 · 992 · 1024 · 1922 · 1984 · 3844 · 3968 · 7688 · 7936 · 15376 · 15872 · 30752 · 31744 · 61504 · 123008 · 246016 · 492032 (half) · 984064

Aliquot sum (sum of proper divisors): 1,048,607

Factor pairs (a × b = 984,064)

1 × 984064

2 × 492032

4 × 246016

8 × 123008

16 × 61504

31 × 31744

32 × 30752

62 × 15872

64 × 15376

124 × 7936

128 × 7688

248 × 3968

256 × 3844

496 × 1984

512 × 1922

961 × 1024

992 × 992

First multiples

984,064 · 1,968,128 (double) · 2,952,192 · 3,936,256 · 4,920,320 · 5,904,384 · 6,888,448 · 7,872,512 · 8,856,576 · 9,840,640

Sums & aliquot sequence

As a sum of two squares: 0² + 992²

As consecutive integers: 31,729 + 31,730 + … + 31,759 544 + 545 + … + 1,504

Aliquot sequence: 984,064 → 1,048,607 → 170,593 → 5,535 → 4,545 → 3,411 → 1,529 → 151 → 1 → 0 — terminates at zero

Representations

In words: nine hundred eighty-four thousand sixty-four
Ordinal: 984064th
Binary: 11110000010000000000
Octal: 3602000
Hexadecimal: 0xF0400
Base64: DwQA
One's complement: 4,293,983,231 (32-bit)
Scientific notation: 9.84064 × 10⁵
As a duration: 984,064 s = 11 days, 9 hours, 21 minutes, 4 seconds

In other bases

ternary (3) 1211222212211

quaternary (4) 3300100000

quinary (5) 222442224

senary (6) 33031504

septenary (7) 11235664

nonary (9) 1758784

undecimal (11) 612384

duodecimal (12) 3b5594

tridecimal (13) 285bb3

tetradecimal (14) 1b88a4

pentadecimal (15) 146894

As an angle

984,064° = 2,733 × 360° + 184°

184° ≈ 3.211 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπδξδʹ
Chinese: 九十八萬四千零六十四
Chinese (financial): 玖拾捌萬肆仟零陸拾肆

In other modern scripts

Eastern Arabic ٩٨٤٠٦٤ Devanagari ९८४०६४ Bengali ৯৮৪০৬৪ Tamil ௯௮௪௦௬௪ Thai ๙๘๔๐๖๔ Tibetan ༩༨༤༠༦༤ Khmer ៩៨៤០៦៤ Lao ໙໘໔໐໖໔ Burmese ၉၈၄၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 984064, here are decompositions:

5 + 984059 = 984064
17 + 984047 = 984064
47 + 984017 = 984064
71 + 983993 = 984064
113 + 983951 = 984064
251 + 983813 = 984064
281 + 983783 = 984064
293 + 983771 = 984064

Showing the first eight; more decompositions exist.

Hex color

#0F0400

RGB(15, 4, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.4.0.

Address: 0.15.4.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.4.0

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 984,064 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 US984,064 on Google Patents ↗ Look up on USPTO ↗