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1,041,648

1,041,648 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.).

1,041,648 (one million forty-one thousand six hundred forty-eight) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 21,701. Its proper divisors sum to 1,649,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE4F0.

Abundant Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
8,461,401
Square (n²)
1,085,030,555,904
Cube (n³)
1,130,219,908,496,289,792
Divisor count
20
σ(n) — sum of divisors
2,691,048
φ(n) — Euler's totient
347,200
Sum of prime factors
21,712

Primality

Prime factorization: 2 4 × 3 × 21701

Nearest primes: 1,041,643 (−5) · 1,041,653 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 21701 · 43402 · 65103 · 86804 · 130206 · 173608 · 260412 · 347216 · 520824 (half) · 1041648
Aliquot sum (sum of proper divisors): 1,649,400
Factor pairs (a × b = 1,041,648)
1 × 1041648
2 × 520824
3 × 347216
4 × 260412
6 × 173608
8 × 130206
12 × 86804
16 × 65103
24 × 43402
48 × 21701
First multiples
1,041,648 · 2,083,296 (double) · 3,124,944 · 4,166,592 · 5,208,240 · 6,249,888 · 7,291,536 · 8,333,184 · 9,374,832 · 10,416,480

Sums & aliquot sequence

As consecutive integers: 347,215 + 347,216 + 347,217 32,536 + 32,537 + … + 32,567 10,803 + 10,804 + … + 10,898
Aliquot sequence: 1,041,648 1,649,400 3,465,600 8,581,620 15,626,508 20,835,372 27,780,524 20,835,400 30,165,800 52,864,600 70,046,060 98,572,180 138,001,388 138,274,612 138,274,668 327,118,932 648,302,508 — unresolved within range

Continued fraction of √n

√1,041,648 = [1020; (1, 1, 1, 1, 2, 1, 5, 1, 5, 3, 2, 1, 2, 1, 1, 1, 13, 1, 1, 1, 3, 1, 1, 1, …)]

Representations

In words
one million forty-one thousand six hundred forty-eight
Ordinal
1041648th
Binary
11111110010011110000
Octal
3762360
Hexadecimal
0xFE4F0
Base64
D+Tw
One's complement
4,293,925,647 (32-bit)
Scientific notation
1.041648 × 10⁶
As a duration
1,041,648 s = 12 days, 1 hour, 20 minutes, 48 seconds
In other bases
ternary (3) 1221220212120
quaternary (4) 3332103300
quinary (5) 231313043
senary (6) 34154240
septenary (7) 11565606
nonary (9) 1856776
undecimal (11) 651673
duodecimal (12) 422980
tridecimal (13) 2a617a
tetradecimal (14) 1d1876
pentadecimal (15) 158983

As an angle

1,041,648° = 2,893 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬一千六百四十八
Chinese (financial)
壹佰零肆萬壹仟陸佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٤١٦٤٨ Devanagari १०४१६४८ Bengali ১০৪১৬৪৮ Tamil ௧௦௪௧௬௪௮ Thai ๑๐๔๑๖๔๘ Tibetan ༡༠༤༡༦༤༨ Khmer ១០៤១៦៤៨ Lao ໑໐໔໑໖໔໘ Burmese ၁၀၄၁၆၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041648, here are decompositions:

  • 5 + 1041643 = 1041648
  • 29 + 1041619 = 1041648
  • 31 + 1041617 = 1041648
  • 71 + 1041577 = 1041648
  • 89 + 1041559 = 1041648
  • 131 + 1041517 = 1041648
  • 137 + 1041511 = 1041648
  • 151 + 1041497 = 1041648

Showing the first eight; more decompositions exist.

Hex color
#0FE4F0
RGB(15, 228, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.228.240.

Address
0.15.228.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.228.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 1648 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1648-04-01 (DMMYYYY (Euro, single-digit day))
  • 1648-10-04 (MMDYYYY (US, single-digit day))
  • 1648-04-10 (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 1,041,648 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°.