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1,042,384

1,042,384 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.).

1,042,384 (one million forty-two thousand three hundred eighty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 41 × 227. Its proper divisors sum to 1,332,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE7D0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
4,832,401
Square (n²)
1,086,564,403,456
Cube (n³)
1,132,617,349,132,079,104
Divisor count
40
σ(n) — sum of divisors
2,374,848
φ(n) — Euler's totient
433,920
Sum of prime factors
283

Primality

Prime factorization: 2 4 × 7 × 41 × 227

Nearest primes: 1,042,381 (−3) · 1,042,399 (+15)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 41 · 56 · 82 · 112 · 164 · 227 · 287 · 328 · 454 · 574 · 656 · 908 · 1148 · 1589 · 1816 · 2296 · 3178 · 3632 · 4592 · 6356 · 9307 · 12712 · 18614 · 25424 · 37228 · 65149 · 74456 · 130298 · 148912 · 260596 · 521192 (half) · 1042384
Aliquot sum (sum of proper divisors): 1,332,464
Factor pairs (a × b = 1,042,384)
1 × 1042384
2 × 521192
4 × 260596
7 × 148912
8 × 130298
14 × 74456
16 × 65149
28 × 37228
41 × 25424
56 × 18614
82 × 12712
112 × 9307
164 × 6356
227 × 4592
287 × 3632
328 × 3178
454 × 2296
574 × 1816
656 × 1589
908 × 1148
First multiples
1,042,384 · 2,084,768 (double) · 3,127,152 · 4,169,536 · 5,211,920 · 6,254,304 · 7,296,688 · 8,339,072 · 9,381,456 · 10,423,840

Sums & aliquot sequence

As consecutive integers: 148,909 + 148,910 + … + 148,915 32,559 + 32,560 + … + 32,590 25,404 + 25,405 + … + 25,444 4,542 + 4,543 + … + 4,765
Aliquot sequence: 1,042,384 1,332,464 1,618,240 2,542,280 3,619,120 5,241,920 7,241,164 7,241,220 18,341,064 39,041,976 58,563,024 104,364,048 165,243,200 244,834,720 378,086,600 510,072,700 615,558,380 — unresolved within range

Continued fraction of √n

√1,042,384 = [1020; (1, 34, 1, 4, 1, 2, 6, 35, 1, 1, 1, 226, 4, 1, 1, 3, 2, 2, 1, 4, 1, 5, 4, 3, …)]

Representations

In words
one million forty-two thousand three hundred eighty-four
Ordinal
1042384th
Binary
11111110011111010000
Octal
3763720
Hexadecimal
0xFE7D0
Base64
D+fQ
One's complement
4,293,924,911 (32-bit)
Scientific notation
1.042384 × 10⁶
As a duration
1,042,384 s = 12 days, 1 hour, 33 minutes, 4 seconds
In other bases
ternary (3) 1221221212211
quaternary (4) 3332133100
quinary (5) 231324014
senary (6) 34201504
septenary (7) 11601010
nonary (9) 1857784
undecimal (11) 652182
duodecimal (12) 423294
tridecimal (13) 2a65c5
tetradecimal (14) 1d1c40
pentadecimal (15) 158cc4

As an angle

1,042,384° = 2,895 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零四萬二千三百八十四
Chinese (financial)
壹佰零肆萬貳仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٤٢٣٨٤ Devanagari १०४२३८४ Bengali ১০৪২৩৮৪ Tamil ௧௦௪௨௩௮௪ Thai ๑๐๔๒๓๘๔ Tibetan ༡༠༤༢༣༨༤ Khmer ១០៤២៣៨៤ Lao ໑໐໔໒໓໘໔ Burmese ၁၀၄၂၃၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042384, here are decompositions:

  • 3 + 1042381 = 1042384
  • 11 + 1042373 = 1042384
  • 53 + 1042331 = 1042384
  • 113 + 1042271 = 1042384
  • 173 + 1042211 = 1042384
  • 191 + 1042193 = 1042384
  • 197 + 1042187 = 1042384
  • 251 + 1042133 = 1042384

Showing the first eight; more decompositions exist.

Hex color
#0FE7D0
RGB(15, 231, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.231.208.

Address
0.15.231.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.231.208

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 2384 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2384-04-01 (DMMYYYY (Euro, single-digit day))
  • 2384-10-04 (MMDYYYY (US, single-digit day))
  • 2384-04-10 (DDMYYYY (Euro, single-digit month))
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 1,042,384 and was likely granted around 1912.

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°.