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1,048,432

1,048,432 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.).

1,048,432 (one million forty-eight thousand four hundred thirty-two) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 7 × 11 × 23 × 37. Its proper divisors sum to 1,665,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFF70.

Abundant Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
2,348,401
Square (n²)
1,099,209,658,624
Cube (n³)
1,152,446,580,810,477,568
Divisor count
80
σ(n) — sum of divisors
2,714,112
φ(n) — Euler's totient
380,160
Sum of prime factors
86

Primality

Prime factorization: 2 4 × 7 × 11 × 23 × 37

Nearest primes: 1,048,423 (−9) · 1,048,433 (+1)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 22 · 23 · 28 · 37 · 44 · 46 · 56 · 74 · 77 · 88 · 92 · 112 · 148 · 154 · 161 · 176 · 184 · 253 · 259 · 296 · 308 · 322 · 368 · 407 · 506 · 518 · 592 · 616 · 644 · 814 · 851 · 1012 · 1036 · 1232 · 1288 · 1628 · 1702 · 1771 · 2024 · 2072 · 2576 · 2849 · 3256 · 3404 · 3542 · 4048 · 4144 · 5698 · 5957 · 6512 · 6808 · 7084 · 9361 · 11396 · 11914 · 13616 · 14168 · 18722 · 22792 · 23828 · 28336 · 37444 · 45584 · 47656 · 65527 · 74888 · 95312 · 131054 · 149776 · 262108 · 524216 (half) · 1048432
Aliquot sum (sum of proper divisors): 1,665,680
Factor pairs (a × b = 1,048,432)
1 × 1048432
2 × 524216
4 × 262108
7 × 149776
8 × 131054
11 × 95312
14 × 74888
16 × 65527
22 × 47656
23 × 45584
28 × 37444
37 × 28336
44 × 23828
46 × 22792
56 × 18722
74 × 14168
77 × 13616
88 × 11914
92 × 11396
112 × 9361
148 × 7084
154 × 6808
161 × 6512
176 × 5957
184 × 5698
253 × 4144
259 × 4048
296 × 3542
308 × 3404
322 × 3256
368 × 2849
407 × 2576
506 × 2072
518 × 2024
592 × 1771
616 × 1702
644 × 1628
814 × 1288
851 × 1232
1012 × 1036
First multiples
1,048,432 · 2,096,864 (double) · 3,145,296 · 4,193,728 · 5,242,160 · 6,290,592 · 7,339,024 · 8,387,456 · 9,435,888 · 10,484,320

Sums & aliquot sequence

As consecutive integers: 149,773 + 149,774 + … + 149,779 95,307 + 95,308 + … + 95,317 45,573 + 45,574 + … + 45,595 32,748 + 32,749 + … + 32,779
Aliquot sequence: 1,048,432 1,665,680 2,298,352 2,791,104 4,594,200 12,071,400 30,783,000 68,657,640 148,163,160 330,838,440 704,838,360 1,565,209,320 3,130,419,000 6,708,064,200 14,271,173,400 — keeps growing

Continued fraction of √n

√1,048,432 = [1023; (1, 13, 4, 1, 1, 24, 1, 2, 1, 2, 32, 7, 18, 7, 32, 2, 1, 2, 1, 24, 1, 1, 4, 13, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one million forty-eight thousand four hundred thirty-two
Ordinal
1048432nd
Binary
11111111111101110000
Octal
3777560
Hexadecimal
0xFFF70
Base64
D/9w
One's complement
4,293,918,863 (32-bit)
Scientific notation
1.048432 × 10⁶
As a duration
1,048,432 s = 12 days, 3 hours, 13 minutes, 52 seconds
In other bases
ternary (3) 1222021011211
quaternary (4) 3333331300
quinary (5) 232022212
senary (6) 34245504
septenary (7) 11624440
nonary (9) 1867154
undecimal (11) 656780
duodecimal (12) 426894
tridecimal (13) 2a9298
tetradecimal (14) 1d4120
pentadecimal (15) 15a9a7

As an angle

1,048,432° = 2,912 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Chinese
一百零四萬八千四百三十二
Chinese (financial)
壹佰零肆萬捌仟肆佰參拾貳
In other modern scripts
Eastern Arabic ١٠٤٨٤٣٢ Devanagari १०४८४३२ Bengali ১০৪৮৪৩২ Tamil ௧௦௪௮௪௩௨ Thai ๑๐๔๘๔๓๒ Tibetan ༡༠༤༨༤༣༢ Khmer ១០៤៨៤៣២ Lao ໑໐໔໘໔໓໒ Burmese ၁၀၄၈၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048432, here are decompositions:

  • 41 + 1048391 = 1048432
  • 71 + 1048361 = 1048432
  • 89 + 1048343 = 1048432
  • 239 + 1048193 = 1048432
  • 293 + 1048139 = 1048432
  • 383 + 1048049 = 1048432
  • 389 + 1048043 = 1048432
  • 419 + 1048013 = 1048432

Showing the first eight; more decompositions exist.

Hex color
#0FFF70
RGB(15, 255, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.255.112.

Address
0.15.255.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.255.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 8432 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8432-04-01 (DMMYYYY (Euro, single-digit day))
  • 8432-10-04 (MMDYYYY (US, single-digit day))
  • 8432-04-10 (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 1,048,432 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°.