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1,042,048

1,042,048 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.).

1,042,048 (one million forty-two thousand forty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 7 × 1,163. Its proper divisors sum to 1,332,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE680.

Abundant Number Arithmetic Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
8,402,401
Square (n²)
1,085,864,034,304
Cube (n³)
1,131,522,445,218,414,592
Divisor count
32
σ(n) — sum of divisors
2,374,560
φ(n) — Euler's totient
446,208
Sum of prime factors
1,184

Primality

Prime factorization: 2 7 × 7 × 1163

Nearest primes: 1,042,043 (−5) · 1,042,081 (+33)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 128 · 224 · 448 · 896 · 1163 · 2326 · 4652 · 8141 · 9304 · 16282 · 18608 · 32564 · 37216 · 65128 · 74432 · 130256 · 148864 · 260512 · 521024 (half) · 1042048
Aliquot sum (sum of proper divisors): 1,332,512
Factor pairs (a × b = 1,042,048)
1 × 1042048
2 × 521024
4 × 260512
7 × 148864
8 × 130256
14 × 74432
16 × 65128
28 × 37216
32 × 32564
56 × 18608
64 × 16282
112 × 9304
128 × 8141
224 × 4652
448 × 2326
896 × 1163
First multiples
1,042,048 · 2,084,096 (double) · 3,126,144 · 4,168,192 · 5,210,240 · 6,252,288 · 7,294,336 · 8,336,384 · 9,378,432 · 10,420,480

Sums & aliquot sequence

As consecutive integers: 148,861 + 148,862 + … + 148,867 3,943 + 3,944 + … + 4,198 315 + 316 + … + 1,477
Aliquot sequence: 1,042,048 1,332,512 1,290,934 645,470 682,498 349,694 184,906 97,334 52,354 26,180 46,396 46,452 81,228 135,604 146,636 146,692 181,244 — unresolved within range

Continued fraction of √n

√1,042,048 = [1020; (1, 4, 5, 8, 1, 1, 3, 13, 1, 8, 2, 11, 16, 2, 1, 1, 1, 5, 1, 2, 12, 2, 22, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one million forty-two thousand forty-eight
Ordinal
1042048th
Binary
11111110011010000000
Octal
3763200
Hexadecimal
0xFE680
Base64
D+aA
One's complement
4,293,925,247 (32-bit)
Scientific notation
1.042048 × 10⁶
As a duration
1,042,048 s = 12 days, 1 hour, 27 minutes, 28 seconds
In other bases
ternary (3) 1221221102101
quaternary (4) 3332122000
quinary (5) 231321143
senary (6) 34200144
septenary (7) 11600020
nonary (9) 1857371
undecimal (11) 6519a7
duodecimal (12) 423054
tridecimal (13) 2a63c7
tetradecimal (14) 1d1a80
pentadecimal (15) 158b4d

As an angle

1,042,048° = 2,894 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬二千零四十八
Chinese (financial)
壹佰零肆萬貳仟零肆拾捌
In other modern scripts
Eastern Arabic ١٠٤٢٠٤٨ Devanagari १०४२०४८ Bengali ১০৪২০৪৮ Tamil ௧௦௪௨௦௪௮ Thai ๑๐๔๒๐๔๘ Tibetan ༡༠༤༢༠༤༨ Khmer ១០៤២០៤៨ Lao ໑໐໔໒໐໔໘ Burmese ၁၀၄၂၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042048, here are decompositions:

  • 5 + 1042043 = 1042048
  • 47 + 1042001 = 1042048
  • 179 + 1041869 = 1042048
  • 191 + 1041857 = 1042048
  • 269 + 1041779 = 1042048
  • 311 + 1041737 = 1042048
  • 317 + 1041731 = 1042048
  • 347 + 1041701 = 1042048

Showing the first eight; more decompositions exist.

Hex color
#0FE680
RGB(15, 230, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.128.

Address
0.15.230.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.230.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 2048 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2048-04-01 (DMMYYYY (Euro, single-digit day))
  • 2048-10-04 (MMDYYYY (US, single-digit day))
  • 2048-04-10 (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 1,042,048 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°.