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1,008,648

1,008,648 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.).

1,008,648 (one million eight thousand six hundred forty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 14,009. Its proper divisors sum to 1,723,302, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6408.

Abundant Number Evil Number Gapful Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
8,468,001
Recamán's sequence
a(348,155) = 1,008,648
Square (n²)
1,017,370,787,904
Cube (n³)
1,026,169,010,477,793,792
Divisor count
24
σ(n) — sum of divisors
2,731,950
φ(n) — Euler's totient
336,192
Sum of prime factors
14,021

Primality

Prime factorization: 2 3 × 3 2 × 14009

Nearest primes: 1,008,617 (−31) · 1,008,659 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 14009 · 28018 · 42027 · 56036 · 84054 · 112072 · 126081 · 168108 · 252162 · 336216 · 504324 (half) · 1008648
Aliquot sum (sum of proper divisors): 1,723,302
Factor pairs (a × b = 1,008,648)
1 × 1008648
2 × 504324
3 × 336216
4 × 252162
6 × 168108
8 × 126081
9 × 112072
12 × 84054
18 × 56036
24 × 42027
36 × 28018
72 × 14009
First multiples
1,008,648 · 2,017,296 (double) · 3,025,944 · 4,034,592 · 5,043,240 · 6,051,888 · 7,060,536 · 8,069,184 · 9,077,832 · 10,086,480

Sums & aliquot sequence

As a sum of two squares: 522² + 858²
As consecutive integers: 336,215 + 336,216 + 336,217 112,068 + 112,069 + … + 112,076 63,033 + 63,034 + … + 63,048 20,990 + 20,991 + … + 21,037
Aliquot sequence: 1,008,648 1,723,302 2,792,538 4,321,062 5,041,278 8,167,554 10,134,180 26,637,660 72,559,620 178,984,764 338,083,060 495,258,764 700,234,612 827,550,668 838,520,116 946,139,852 956,604,628 — unresolved within range

Continued fraction of √n

√1,008,648 = [1004; (3, 5, 1, 1, 1, 2, 7, 3, 1, 5, 1, 1, 1, 14, 8, 2, 1, 40, 3, 5, 87, 6, 1, 15, …)]

Representations

In words
one million eight thousand six hundred forty-eight
Ordinal
1008648th
Binary
11110110010000001000
Octal
3662010
Hexadecimal
0xF6408
Base64
D2QI
One's complement
4,293,958,647 (32-bit)
Scientific notation
1.008648 × 10⁶
As a duration
1,008,648 s = 11 days, 16 hours, 10 minutes, 48 seconds
In other bases
ternary (3) 1220020121100
quaternary (4) 3312100020
quinary (5) 224234043
senary (6) 33341400
septenary (7) 11400444
nonary (9) 1806540
undecimal (11) 6298a3
duodecimal (12) 407860
tridecimal (13) 294144
tetradecimal (14) 1c3824
pentadecimal (15) 14dcd3

As an angle

1,008,648° = 2,801 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬八千六百四十八
Chinese (financial)
壹佰萬捌仟陸佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٠٨٦٤٨ Devanagari १००८६४८ Bengali ১০০৮৬৪৮ Tamil ௧௦௦௮௬௪௮ Thai ๑๐๐๘๖๔๘ Tibetan ༡༠༠༨༦༤༨ Khmer ១០០៨៦៤៨ Lao ໑໐໐໘໖໔໘ Burmese ၁၀၀၈၆၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008648, here are decompositions:

  • 31 + 1008617 = 1008648
  • 37 + 1008611 = 1008648
  • 41 + 1008607 = 1008648
  • 59 + 1008589 = 1008648
  • 61 + 1008587 = 1008648
  • 101 + 1008547 = 1008648
  • 107 + 1008541 = 1008648
  • 131 + 1008517 = 1008648

Showing the first eight; more decompositions exist.

Hex color
#0F6408
RGB(15, 100, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.100.8.

Address
0.15.100.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.100.8

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 1,008,648 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°.