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984,096

984,096 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.).

984,096 (nine hundred eighty-four thousand ninety-six) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 17 × 67. Its proper divisors sum to 2,100,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF0420.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
690,489
Square (n²)
968,444,937,216
Cube (n³)
953,042,788,934,516,736
Divisor count
96
σ(n) — sum of divisors
3,084,480
φ(n) — Euler's totient
304,128
Sum of prime factors
103

Primality

Prime factorization: 2 5 × 3 3 × 17 × 67

Nearest primes: 984,091 (−5) · 984,119 (+23)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 27 · 32 · 34 · 36 · 48 · 51 · 54 · 67 · 68 · 72 · 96 · 102 · 108 · 134 · 136 · 144 · 153 · 201 · 204 · 216 · 268 · 272 · 288 · 306 · 402 · 408 · 432 · 459 · 536 · 544 · 603 · 612 · 804 · 816 · 864 · 918 · 1072 · 1139 · 1206 · 1224 · 1608 · 1632 · 1809 · 1836 · 2144 · 2278 · 2412 · 2448 · 3216 · 3417 · 3618 · 3672 · 4556 · 4824 · 4896 · 6432 · 6834 · 7236 · 7344 · 9112 · 9648 · 10251 · 13668 · 14472 · 14688 · 18224 · 19296 · 20502 · 27336 · 28944 · 30753 · 36448 · 41004 · 54672 · 57888 · 61506 · 82008 · 109344 · 123012 · 164016 · 246024 · 328032 · 492048 (half) · 984096
Aliquot sum (sum of proper divisors): 2,100,384
Factor pairs (a × b = 984,096)
1 × 984096
2 × 492048
3 × 328032
4 × 246024
6 × 164016
8 × 123012
9 × 109344
12 × 82008
16 × 61506
17 × 57888
18 × 54672
24 × 41004
27 × 36448
32 × 30753
34 × 28944
36 × 27336
48 × 20502
51 × 19296
54 × 18224
67 × 14688
68 × 14472
72 × 13668
96 × 10251
102 × 9648
108 × 9112
134 × 7344
136 × 7236
144 × 6834
153 × 6432
201 × 4896
204 × 4824
216 × 4556
268 × 3672
272 × 3618
288 × 3417
306 × 3216
402 × 2448
408 × 2412
432 × 2278
459 × 2144
536 × 1836
544 × 1809
603 × 1632
612 × 1608
804 × 1224
816 × 1206
864 × 1139
918 × 1072
First multiples
984,096 · 1,968,192 (double) · 2,952,288 · 3,936,384 · 4,920,480 · 5,904,576 · 6,888,672 · 7,872,768 · 8,856,864 · 9,840,960

Sums & aliquot sequence

As consecutive integers: 328,031 + 328,032 + 328,033 109,340 + 109,341 + … + 109,348 57,880 + 57,881 + … + 57,896 36,435 + 36,436 + … + 36,461
Aliquot sequence: 984,096 2,100,384 5,520,096 10,582,704 24,772,176 58,972,464 109,204,272 196,416,420 376,933,980 678,481,332 964,760,268 1,418,765,604 1,909,982,364 2,596,720,116 3,462,293,516 3,217,691,068 2,457,006,100 — unresolved within range

Continued fraction of √n

√984,096 = [992; (62, 1984)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-four thousand ninety-six
Ordinal
984096th
Binary
11110000010000100000
Octal
3602040
Hexadecimal
0xF0420
Base64
DwQg
One's complement
4,293,983,199 (32-bit)
Scientific notation
9.84096 × 10⁵
As a duration
984,096 s = 11 days, 9 hours, 21 minutes, 36 seconds
In other bases
ternary (3) 1211222221000
quaternary (4) 3300100200
quinary (5) 222442341
senary (6) 33032000
septenary (7) 11236041
nonary (9) 1758830
undecimal (11) 612403
duodecimal (12) 3b5600
tridecimal (13) 285c09
tetradecimal (14) 1b88c8
pentadecimal (15) 1468b6

As an angle

984,096° = 2,733 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπδϟϛʹ
Chinese
九十八萬四千零九十六
Chinese (financial)
玖拾捌萬肆仟零玖拾陸
In other modern scripts
Eastern Arabic ٩٨٤٠٩٦ Devanagari ९८४०९६ Bengali ৯৮৪০৯৬ Tamil ௯௮௪௦௯௬ Thai ๙๘๔๐๙๖ Tibetan ༩༨༤༠༩༦ Khmer ៩៨៤០៩៦ Lao ໙໘໔໐໙໖ Burmese ၉၈၄၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 984096, here are decompositions:

  • 5 + 984091 = 984096
  • 13 + 984083 = 984096
  • 37 + 984059 = 984096
  • 59 + 984037 = 984096
  • 79 + 984017 = 984096
  • 89 + 984007 = 984096
  • 103 + 983993 = 984096
  • 109 + 983987 = 984096

Showing the first eight; more decompositions exist.

Hex color
#0F0420
RGB(15, 4, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.4.32.

Address
0.15.4.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.4.32

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 984,096 and was likely granted around 1910.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.