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1,046,416

1,046,416 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.).

1,046,416 (one million forty-six thousand four hundred sixteen) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 9,343. Its proper divisors sum to 1,270,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF790.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
6,146,401
Square (n²)
1,094,986,445,056
Cube (n³)
1,145,811,335,889,719,296
Divisor count
20
σ(n) — sum of divisors
2,317,312
φ(n) — Euler's totient
448,416
Sum of prime factors
9,358

Primality

Prime factorization: 2 4 × 7 × 9343

Nearest primes: 1,046,413 (−3) · 1,046,447 (+31)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 9343 · 18686 · 37372 · 65401 · 74744 · 130802 · 149488 · 261604 · 523208 (half) · 1046416
Aliquot sum (sum of proper divisors): 1,270,896
Factor pairs (a × b = 1,046,416)
1 × 1046416
2 × 523208
4 × 261604
7 × 149488
8 × 130802
14 × 74744
16 × 65401
28 × 37372
56 × 18686
112 × 9343
First multiples
1,046,416 · 2,092,832 (double) · 3,139,248 · 4,185,664 · 5,232,080 · 6,278,496 · 7,324,912 · 8,371,328 · 9,417,744 · 10,464,160

Sums & aliquot sequence

As consecutive integers: 149,485 + 149,486 + … + 149,491 32,685 + 32,686 + … + 32,716 4,560 + 4,561 + … + 4,783
Aliquot sequence: 1,046,416 1,270,896 2,478,864 4,079,248 3,871,260 8,466,660 17,875,740 32,433,540 58,380,540 116,043,780 208,878,972 278,505,324 460,349,716 345,262,294 212,776,586 135,403,318 67,966,730 — unresolved within range

Continued fraction of √n

√1,046,416 = [1022; (1, 17, 9, 2, 5, 1, 3, 1, 1, 1, 1, 18, 1, 7, 23, 2, 1, 1, 3, 2, 7, 1, 1, 2, …)]

Representations

In words
one million forty-six thousand four hundred sixteen
Ordinal
1046416th
Binary
11111111011110010000
Octal
3773620
Hexadecimal
0xFF790
Base64
D/eQ
One's complement
4,293,920,879 (32-bit)
Scientific notation
1.046416 × 10⁶
As a duration
1,046,416 s = 12 days, 2 hours, 40 minutes, 16 seconds
In other bases
ternary (3) 1222011102011
quaternary (4) 3333132100
quinary (5) 231441131
senary (6) 34232304
septenary (7) 11615530
nonary (9) 1864364
undecimal (11) 655208
duodecimal (12) 425694
tridecimal (13) 2a83a7
tetradecimal (14) 1d34c0
pentadecimal (15) 15a0b1

As an angle

1,046,416° = 2,906 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬六千四百一十六
Chinese (financial)
壹佰零肆萬陸仟肆佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٤٦٤١٦ Devanagari १०४६४१६ Bengali ১০৪৬৪১৬ Tamil ௧௦௪௬௪௧௬ Thai ๑๐๔๖๔๑๖ Tibetan ༡༠༤༦༤༡༦ Khmer ១០៤៦៤១៦ Lao ໑໐໔໖໔໑໖ Burmese ၁၀၄၆၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046416, here are decompositions:

  • 3 + 1046413 = 1046416
  • 17 + 1046399 = 1046416
  • 23 + 1046393 = 1046416
  • 47 + 1046369 = 1046416
  • 179 + 1046237 = 1046416
  • 227 + 1046189 = 1046416
  • 233 + 1046183 = 1046416
  • 347 + 1046069 = 1046416

Showing the first eight; more decompositions exist.

Hex color
#0FF790
RGB(15, 247, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.247.144.

Address
0.15.247.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.247.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 6416 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6416-04-01 (DMMYYYY (Euro, single-digit day))
  • 6416-10-04 (MMDYYYY (US, single-digit day))
  • 6416-04-10 (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 1,046,416 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°.