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1,056,048

1,056,048 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.).

1,056,048 (one million fifty-six thousand forty-eight) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 7² × 449. Its proper divisors sum to 2,124,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101D30.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
8,406,501
Square (n²)
1,115,237,378,304
Cube (n³)
1,177,744,202,883,182,592
Divisor count
60
σ(n) — sum of divisors
3,180,600
φ(n) — Euler's totient
301,056
Sum of prime factors
474

Primality

Prime factorization: 2 4 × 3 × 7 2 × 449

Nearest primes: 1,056,047 (−1) · 1,056,049 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 49 · 56 · 84 · 98 · 112 · 147 · 168 · 196 · 294 · 336 · 392 · 449 · 588 · 784 · 898 · 1176 · 1347 · 1796 · 2352 · 2694 · 3143 · 3592 · 5388 · 6286 · 7184 · 9429 · 10776 · 12572 · 18858 · 21552 · 22001 · 25144 · 37716 · 44002 · 50288 · 66003 · 75432 · 88004 · 132006 · 150864 · 176008 · 264012 · 352016 · 528024 (half) · 1056048
Aliquot sum (sum of proper divisors): 2,124,552
Factor pairs (a × b = 1,056,048)
1 × 1056048
2 × 528024
3 × 352016
4 × 264012
6 × 176008
7 × 150864
8 × 132006
12 × 88004
14 × 75432
16 × 66003
21 × 50288
24 × 44002
28 × 37716
42 × 25144
48 × 22001
49 × 21552
56 × 18858
84 × 12572
98 × 10776
112 × 9429
147 × 7184
168 × 6286
196 × 5388
294 × 3592
336 × 3143
392 × 2694
449 × 2352
588 × 1796
784 × 1347
898 × 1176
First multiples
1,056,048 · 2,112,096 (double) · 3,168,144 · 4,224,192 · 5,280,240 · 6,336,288 · 7,392,336 · 8,448,384 · 9,504,432 · 10,560,480

Sums & aliquot sequence

As consecutive integers: 352,015 + 352,016 + 352,017 150,861 + 150,862 + … + 150,867 50,278 + 50,279 + … + 50,298 32,986 + 32,987 + … + 33,017
Aliquot sequence: 1,056,048 → 2,124,552 → 3,186,888 → 5,444,472 → 9,796,488 → 18,145,272 → 27,217,968 → 44,735,760 → 111,504,240 → 265,065,408 → 500,470,272 → 1,018,807,488 → 1,911,268,440 → 4,516,416,360 → 10,538,308,440 — keeps growing

Continued fraction of √n

√1,056,048 = [1027; (1, 1, 1, 3, 1, 4, 1, 9, 1, 4, 1, 1, 1, 1, 1, 1, 2, 2, 4, 5, 1, 1, 1, 1, …)]

Representations

In words
one million fifty-six thousand forty-eight
Ordinal
1056048th
Binary
100000001110100110000
Octal
4016460
Hexadecimal
0x101D30
Base64
EB0w
One's complement
4,293,911,247 (32-bit)
Scientific notation
1.056048 × 10⁶
As a duration
1,056,048 s = 12 days, 5 hours, 20 minutes, 48 seconds
In other bases
ternary (3) 1222122121220
quaternary (4) 10001310300
quinary (5) 232243143
senary (6) 34345040
septenary (7) 11655600
nonary (9) 1878556
undecimal (11) 661474
duodecimal (12) 42b180
tridecimal (13) 2ac8a6
tetradecimal (14) 1d6c00
pentadecimal (15) 15cd83

As an angle

1,056,048° = 2,933 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬六千零四十八
Chinese (financial)
壹佰零伍萬陸仟零肆拾捌
In other modern scripts
Eastern Arabic ١٠٥٦٠٤٨ Devanagari १०५६०४८ Bengali ১০৫৬০৪৮ Tamil ௧௦௫௬௦௪௮ Thai ๑๐๕๖๐๔๘ Tibetan ༡༠༥༦༠༤༨ Khmer ១០៥៦០៤៨ Lao ໑໐໕໖໐໔໘ Burmese ၁၀၅၆၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056048, here are decompositions:

  • 29 + 1056019 = 1056048
  • 41 + 1056007 = 1056048
  • 67 + 1055981 = 1056048
  • 79 + 1055969 = 1056048
  • 89 + 1055959 = 1056048
  • 101 + 1055947 = 1056048
  • 109 + 1055939 = 1056048
  • 131 + 1055917 = 1056048

Showing the first eight; more decompositions exist.

Hex color
#101D30
RGB(16, 29, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.48.

Address
0.16.29.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 6048 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6048-05-01 (DMMYYYY (Euro, single-digit day))
  • 6048-10-05 (MMDYYYY (US, single-digit day))
  • 6048-05-10 (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 1,056,048 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°.