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1,046,448

1,046,448 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.).

1,046,448 (one million forty-six thousand four hundred forty-eight) is an even 7-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 13² × 43. Its proper divisors sum to 2,198,508, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF7B0.

Abundant Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
8,446,401
Square (n²)
1,095,053,416,704
Cube (n³)
1,145,916,457,803,067,392
Divisor count
90
σ(n) — sum of divisors
3,244,956
φ(n) — Euler's totient
314,496
Sum of prime factors
83

Primality

Prime factorization: 2 4 × 3 2 × 13 2 × 43

Nearest primes: 1,046,447 (−1) · 1,046,449 (+1)

Divisors & multiples

All divisors (90)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 24 · 26 · 36 · 39 · 43 · 48 · 52 · 72 · 78 · 86 · 104 · 117 · 129 · 144 · 156 · 169 · 172 · 208 · 234 · 258 · 312 · 338 · 344 · 387 · 468 · 507 · 516 · 559 · 624 · 676 · 688 · 774 · 936 · 1014 · 1032 · 1118 · 1352 · 1521 · 1548 · 1677 · 1872 · 2028 · 2064 · 2236 · 2704 · 3042 · 3096 · 3354 · 4056 · 4472 · 5031 · 6084 · 6192 · 6708 · 7267 · 8112 · 8944 · 10062 · 12168 · 13416 · 14534 · 20124 · 21801 · 24336 · 26832 · 29068 · 40248 · 43602 · 58136 · 65403 · 80496 · 87204 · 116272 · 130806 · 174408 · 261612 · 348816 · 523224 (half) · 1046448
Aliquot sum (sum of proper divisors): 2,198,508
Factor pairs (a × b = 1,046,448)
1 × 1046448
2 × 523224
3 × 348816
4 × 261612
6 × 174408
8 × 130806
9 × 116272
12 × 87204
13 × 80496
16 × 65403
18 × 58136
24 × 43602
26 × 40248
36 × 29068
39 × 26832
43 × 24336
48 × 21801
52 × 20124
72 × 14534
78 × 13416
86 × 12168
104 × 10062
117 × 8944
129 × 8112
144 × 7267
156 × 6708
169 × 6192
172 × 6084
208 × 5031
234 × 4472
258 × 4056
312 × 3354
338 × 3096
344 × 3042
387 × 2704
468 × 2236
507 × 2064
516 × 2028
559 × 1872
624 × 1677
676 × 1548
688 × 1521
774 × 1352
936 × 1118
1014 × 1032
First multiples
1,046,448 · 2,092,896 (double) · 3,139,344 · 4,185,792 · 5,232,240 · 6,278,688 · 7,325,136 · 8,371,584 · 9,418,032 · 10,464,480

Sums & aliquot sequence

As consecutive integers: 348,815 + 348,816 + 348,817 116,268 + 116,269 + … + 116,276 80,490 + 80,491 + … + 80,502 32,686 + 32,687 + … + 32,717
Aliquot sequence: 1,046,448 2,198,508 3,657,972 4,877,324 3,673,540 4,793,660 6,346,756 5,614,536 8,421,864 17,152,536 26,372,904 42,427,416 63,641,184 129,410,976 228,177,024 377,919,216 706,850,144 — unresolved within range

Continued fraction of √n

√1,046,448 = [1022; (1, 24, 3, 1, 6, 2, 1, 1, 1, 12, 1, 2, 1, 11, 2, 1, 3, 2, 1, 1, 4, 6, 1, 6, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one million forty-six thousand four hundred forty-eight
Ordinal
1046448th
Binary
11111111011110110000
Octal
3773660
Hexadecimal
0xFF7B0
Base64
D/ew
One's complement
4,293,920,847 (32-bit)
Scientific notation
1.046448 × 10⁶
As a duration
1,046,448 s = 12 days, 2 hours, 40 minutes, 48 seconds
In other bases
ternary (3) 1222011110100
quaternary (4) 3333132300
quinary (5) 231441243
senary (6) 34232400
septenary (7) 11615604
nonary (9) 1864410
undecimal (11) 655237
duodecimal (12) 425700
tridecimal (13) 2a8400
tetradecimal (14) 1d3504
pentadecimal (15) 15a0d3

As an angle

1,046,448° = 2,906 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬六千四百四十八
Chinese (financial)
壹佰零肆萬陸仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٤٦٤٤٨ Devanagari १०४६४४८ Bengali ১০৪৬৪৪৮ Tamil ௧௦௪௬௪௪௮ Thai ๑๐๔๖๔๔๘ Tibetan ༡༠༤༦༤༤༨ Khmer ១០៤៦៤៤៨ Lao ໑໐໔໖໔໔໘ Burmese ၁၀၄၆၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046448, here are decompositions:

  • 59 + 1046389 = 1046448
  • 79 + 1046369 = 1046448
  • 97 + 1046351 = 1046448
  • 101 + 1046347 = 1046448
  • 191 + 1046257 = 1046448
  • 211 + 1046237 = 1046448
  • 241 + 1046207 = 1046448
  • 257 + 1046191 = 1046448

Showing the first eight; more decompositions exist.

Hex color
#0FF7B0
RGB(15, 247, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.247.176.

Address
0.15.247.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.247.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 6448 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6448-04-01 (DMMYYYY (Euro, single-digit day))
  • 6448-10-04 (MMDYYYY (US, single-digit day))
  • 6448-04-10 (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 1,046,448 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°.