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1,042,096

1,042,096 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.).

1,042,096 (one million forty-two thousand ninety-six) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 11 × 31 × 191. Its proper divisors sum to 1,243,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE6B0.

Abundant Number Evil Number Gapful Number Harshad / Niven 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
6,902,401
Square (n²)
1,085,964,073,216
Cube (n³)
1,131,678,816,842,100,736
Divisor count
40
σ(n) — sum of divisors
2,285,568
φ(n) — Euler's totient
456,000
Sum of prime factors
241

Primality

Prime factorization: 2 4 × 11 × 31 × 191

Nearest primes: 1,042,091 (−5) · 1,042,099 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 31 · 44 · 62 · 88 · 124 · 176 · 191 · 248 · 341 · 382 · 496 · 682 · 764 · 1364 · 1528 · 2101 · 2728 · 3056 · 4202 · 5456 · 5921 · 8404 · 11842 · 16808 · 23684 · 33616 · 47368 · 65131 · 94736 · 130262 · 260524 · 521048 (half) · 1042096
Aliquot sum (sum of proper divisors): 1,243,472
Factor pairs (a × b = 1,042,096)
1 × 1042096
2 × 521048
4 × 260524
8 × 130262
11 × 94736
16 × 65131
22 × 47368
31 × 33616
44 × 23684
62 × 16808
88 × 11842
124 × 8404
176 × 5921
191 × 5456
248 × 4202
341 × 3056
382 × 2728
496 × 2101
682 × 1528
764 × 1364
First multiples
1,042,096 · 2,084,192 (double) · 3,126,288 · 4,168,384 · 5,210,480 · 6,252,576 · 7,294,672 · 8,336,768 · 9,378,864 · 10,420,960

Sums & aliquot sequence

As consecutive integers: 94,731 + 94,732 + … + 94,741 33,601 + 33,602 + … + 33,631 32,550 + 32,551 + … + 32,581 5,361 + 5,362 + … + 5,551
Aliquot sequence: 1,042,096 1,243,472 1,375,408 1,481,552 1,613,488 1,614,480 4,295,856 7,163,728 9,835,184 10,163,536 10,214,810 9,042,022 5,754,050 5,031,346 2,515,676 2,188,324 1,659,576 — unresolved within range

Continued fraction of √n

√1,042,096 = [1020; (1, 4, 1, 11, 4, 24, 1, 24, 1, 1, 3, 1, 1, 1, 3, 2, 15, 1, 1, 1, 3, 81, 2, 1, …)]

Representations

In words
one million forty-two thousand ninety-six
Ordinal
1042096th
Binary
11111110011010110000
Octal
3763260
Hexadecimal
0xFE6B0
Base64
D+aw
One's complement
4,293,925,199 (32-bit)
Scientific notation
1.042096 × 10⁶
As a duration
1,042,096 s = 12 days, 1 hour, 28 minutes, 16 seconds
In other bases
ternary (3) 1221221111011
quaternary (4) 3332122300
quinary (5) 231321341
senary (6) 34200304
septenary (7) 11600116
nonary (9) 1857434
undecimal (11) 651a40
duodecimal (12) 423094
tridecimal (13) 2a6433
tetradecimal (14) 1d1ab6
pentadecimal (15) 158b81

As an angle

1,042,096° = 2,894 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬二千零九十六
Chinese (financial)
壹佰零肆萬貳仟零玖拾陸
In other modern scripts
Eastern Arabic ١٠٤٢٠٩٦ Devanagari १०४२०९६ Bengali ১০৪২০৯৬ Tamil ௧௦௪௨௦௯௬ Thai ๑๐๔๒๐๙๖ Tibetan ༡༠༤༢༠༩༦ Khmer ១០៤២០៩៦ Lao ໑໐໔໒໐໙໖ Burmese ၁၀၄၂၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042096, here are decompositions:

  • 5 + 1042091 = 1042096
  • 53 + 1042043 = 1042096
  • 113 + 1041983 = 1042096
  • 227 + 1041869 = 1042096
  • 233 + 1041863 = 1042096
  • 239 + 1041857 = 1042096
  • 317 + 1041779 = 1042096
  • 359 + 1041737 = 1042096

Showing the first eight; more decompositions exist.

Hex color
#0FE6B0
RGB(15, 230, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.176.

Address
0.15.230.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.230.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 2096 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2096-04-01 (DMMYYYY (Euro, single-digit day))
  • 2096-10-04 (MMDYYYY (US, single-digit day))
  • 2096-04-10 (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 1,042,096 and was likely granted around 1912.

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

Position in π

The digit sequence 1042096 first appears in π at position 626,272 of the decimal expansion (the 626,272ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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