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1,024,048

1,024,048 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.).

1,024,048 (one million twenty-four thousand forty-eight) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 29 × 2,207. Its proper divisors sum to 1,029,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA030.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
8,404,201
Square (n²)
1,048,674,306,304
Cube (n³)
1,073,892,826,021,998,592
Divisor count
20
σ(n) — sum of divisors
2,053,440
φ(n) — Euler's totient
494,144
Sum of prime factors
2,244

Primality

Prime factorization: 2 4 × 29 × 2207

Nearest primes: 1,024,031 (−17) · 1,024,061 (+13)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 29 · 58 · 116 · 232 · 464 · 2207 · 4414 · 8828 · 17656 · 35312 · 64003 · 128006 · 256012 · 512024 (half) · 1024048
Aliquot sum (sum of proper divisors): 1,029,392
Factor pairs (a × b = 1,024,048)
1 × 1024048
2 × 512024
4 × 256012
8 × 128006
16 × 64003
29 × 35312
58 × 17656
116 × 8828
232 × 4414
464 × 2207
First multiples
1,024,048 · 2,048,096 (double) · 3,072,144 · 4,096,192 · 5,120,240 · 6,144,288 · 7,168,336 · 8,192,384 · 9,216,432 · 10,240,480

Sums & aliquot sequence

As consecutive integers: 35,298 + 35,299 + … + 35,326 31,986 + 31,987 + … + 32,017 640 + 641 + … + 1,567
Aliquot sequence: 1,024,048 1,029,392 1,493,884 1,493,940 3,288,012 6,157,620 16,101,708 27,492,276 45,820,684 55,194,580 87,612,308 87,612,364 93,656,276 102,185,356 117,906,964 117,907,020 339,999,156 — unresolved within range

Continued fraction of √n

√1,024,048 = [1011; (1, 20, 12, 13, 1, 34, 1, 1, 2, 1, 2, 2, 1, 24, 3, 1, 1, 8, 8, 1, 1, 1, 4, 2, …)]

Representations

In words
one million twenty-four thousand forty-eight
Ordinal
1024048th
Binary
11111010000000110000
Octal
3720060
Hexadecimal
0xFA030
Base64
D6Aw
One's complement
4,293,943,247 (32-bit)
Scientific notation
1.024048 × 10⁶
As a duration
1,024,048 s = 11 days, 20 hours, 27 minutes, 28 seconds
In other bases
ternary (3) 1221000201201
quaternary (4) 3322000300
quinary (5) 230232143
senary (6) 33540544
septenary (7) 11463364
nonary (9) 1830651
undecimal (11) 63a423
duodecimal (12) 414754
tridecimal (13) 29b15c
tetradecimal (14) 1c92a4
pentadecimal (15) 15364d

As an angle

1,024,048° = 2,844 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬四千零四十八
Chinese (financial)
壹佰零貳萬肆仟零肆拾捌
In other modern scripts
Eastern Arabic ١٠٢٤٠٤٨ Devanagari १०२४०४८ Bengali ১০২৪০৪৮ Tamil ௧௦௨௪௦௪௮ Thai ๑๐๒๔๐๔๘ Tibetan ༡༠༢༤༠༤༨ Khmer ១០២៤០៤៨ Lao ໑໐໒໔໐໔໘ Burmese ၁၀၂၄၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024048, here are decompositions:

  • 17 + 1024031 = 1024048
  • 71 + 1023977 = 1024048
  • 101 + 1023947 = 1024048
  • 107 + 1023941 = 1024048
  • 191 + 1023857 = 1024048
  • 197 + 1023851 = 1024048
  • 227 + 1023821 = 1024048
  • 317 + 1023731 = 1024048

Showing the first eight; more decompositions exist.

Hex color
#0FA030
RGB(15, 160, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.48.

Address
0.15.160.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.160.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 4048 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4048-02-01 (DMMYYYY (Euro, single-digit day))
  • 4048-10-02 (MMDYYYY (US, single-digit day))
  • 4048-02-10 (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 1,024,048 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°.