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1,008,448

1,008,448 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.).

1,008,448 (one million eight thousand four hundred forty-eight) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 2,251. Its proper divisors sum to 1,279,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6340.

Abundant Number Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
8,448,001
Recamán's sequence
a(348,555) = 1,008,448
Square (n²)
1,016,967,368,704
Cube (n³)
1,025,558,709,034,811,392
Divisor count
28
σ(n) — sum of divisors
2,288,032
φ(n) — Euler's totient
432,000
Sum of prime factors
2,270

Primality

Prime factorization: 2 6 × 7 × 2251

Nearest primes: 1,008,437 (−11) · 1,008,451 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 · 448 · 2251 · 4502 · 9004 · 15757 · 18008 · 31514 · 36016 · 63028 · 72032 · 126056 · 144064 · 252112 · 504224 (half) · 1008448
Aliquot sum (sum of proper divisors): 1,279,584
Factor pairs (a × b = 1,008,448)
1 × 1008448
2 × 504224
4 × 252112
7 × 144064
8 × 126056
14 × 72032
16 × 63028
28 × 36016
32 × 31514
56 × 18008
64 × 15757
112 × 9004
224 × 4502
448 × 2251
First multiples
1,008,448 · 2,016,896 (double) · 3,025,344 · 4,033,792 · 5,042,240 · 6,050,688 · 7,059,136 · 8,067,584 · 9,076,032 · 10,084,480

Sums & aliquot sequence

As consecutive integers: 144,061 + 144,062 + … + 144,067 7,815 + 7,816 + … + 7,942 678 + 679 + … + 1,573
Aliquot sequence: 1,008,448 1,279,584 2,455,056 4,593,104 4,348,660 4,876,556 3,694,804 2,771,110 2,247,722 1,137,754 568,880 858,112 861,788 646,348 490,452 704,364 962,196 — unresolved within range

Continued fraction of √n

√1,008,448 = [1004; (4, 1, 1, 1, 5, 2, 286, 2, 5, 1, 1, 1, 4, 2008)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one million eight thousand four hundred forty-eight
Ordinal
1008448th
Binary
11110110001101000000
Octal
3661500
Hexadecimal
0xF6340
Base64
D2NA
One's complement
4,293,958,847 (32-bit)
Scientific notation
1.008448 × 10⁶
As a duration
1,008,448 s = 11 days, 16 hours, 7 minutes, 28 seconds
In other bases
ternary (3) 1220020022221
quaternary (4) 3312031000
quinary (5) 224232243
senary (6) 33340424
septenary (7) 11400040
nonary (9) 1806287
undecimal (11) 629731
duodecimal (12) 407714
tridecimal (13) 29401c
tetradecimal (14) 1c3720
pentadecimal (15) 14dbed

As an angle

1,008,448° = 2,801 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬八千四百四十八
Chinese (financial)
壹佰萬捌仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٠٨٤٤٨ Devanagari १००८४४८ Bengali ১০০৮৪৪৮ Tamil ௧௦௦௮௪௪௮ Thai ๑๐๐๘๔๔๘ Tibetan ༡༠༠༨༤༤༨ Khmer ១០០៨៤៤៨ Lao ໑໐໐໘໔໔໘ Burmese ၁၀၀၈၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008448, here are decompositions:

  • 11 + 1008437 = 1008448
  • 29 + 1008419 = 1008448
  • 41 + 1008407 = 1008448
  • 47 + 1008401 = 1008448
  • 101 + 1008347 = 1008448
  • 131 + 1008317 = 1008448
  • 191 + 1008257 = 1008448
  • 239 + 1008209 = 1008448

Showing the first eight; more decompositions exist.

Hex color
#0F6340
RGB(15, 99, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.99.64.

Address
0.15.99.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.99.64

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 1,008,448 and was likely granted around 1911.

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°.