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1,055,824

1,055,824 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.).

1,055,824 (one million fifty-five thousand eight hundred twenty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 11 × 857. Its proper divisors sum to 1,497,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101C50.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
4,285,501
Square (n²)
1,114,764,318,976
Cube (n³)
1,176,994,922,318,516,224
Divisor count
40
σ(n) — sum of divisors
2,553,408
φ(n) — Euler's totient
410,880
Sum of prime factors
883

Primality

Prime factorization: 2 4 × 7 × 11 × 857

Nearest primes: 1,055,809 (−15) · 1,055,827 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 22 · 28 · 44 · 56 · 77 · 88 · 112 · 154 · 176 · 308 · 616 · 857 · 1232 · 1714 · 3428 · 5999 · 6856 · 9427 · 11998 · 13712 · 18854 · 23996 · 37708 · 47992 · 65989 · 75416 · 95984 · 131978 · 150832 · 263956 · 527912 (half) · 1055824
Aliquot sum (sum of proper divisors): 1,497,584
Factor pairs (a × b = 1,055,824)
1 × 1055824
2 × 527912
4 × 263956
7 × 150832
8 × 131978
11 × 95984
14 × 75416
16 × 65989
22 × 47992
28 × 37708
44 × 23996
56 × 18854
77 × 13712
88 × 11998
112 × 9427
154 × 6856
176 × 5999
308 × 3428
616 × 1714
857 × 1232
First multiples
1,055,824 · 2,111,648 (double) · 3,167,472 · 4,223,296 · 5,279,120 · 6,334,944 · 7,390,768 · 8,446,592 · 9,502,416 · 10,558,240

Sums & aliquot sequence

As consecutive integers: 150,829 + 150,830 + … + 150,835 95,979 + 95,980 + … + 95,989 32,979 + 32,980 + … + 33,010 13,674 + 13,675 + … + 13,750
Aliquot sequence: 1,055,824 → 1,497,584 → 1,740,304 → 1,631,566 → 823,778 → 416,494 → 267,938 → 194,302 → 97,154 → 53,374 → 26,690 → 24,502 → 12,254 → 7,834 → 3,920 → 6,682 → 4,154 — unresolved within range

Continued fraction of √n

√1,055,824 = [1027; (1, 1, 7, 12, 37, 3, 1, 1, 5, 1, 1, 1, 1, 1, 2, 81, 1, 4, 1, 1, 2, 11, 4, 1, …)]

Representations

In words
one million fifty-five thousand eight hundred twenty-four
Ordinal
1055824th
Binary
100000001110001010000
Octal
4016120
Hexadecimal
0x101C50
Base64
EBxQ
One's complement
4,293,911,471 (32-bit)
Scientific notation
1.055824 × 10⁶
As a duration
1,055,824 s = 12 days, 5 hours, 17 minutes, 4 seconds
In other bases
ternary (3) 1222122022121
quaternary (4) 10001301100
quinary (5) 232241244
senary (6) 34344024
septenary (7) 11655130
nonary (9) 1878277
undecimal (11) 661290
duodecimal (12) 42b014
tridecimal (13) 2ac763
tetradecimal (14) 1d6ac0
pentadecimal (15) 15cc84

As an angle

1,055,824° = 2,932 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千八百二十四
Chinese (financial)
壹佰零伍萬伍仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٥٥٨٢٤ Devanagari १०५५८२४ Bengali ১০৫৫৮২৪ Tamil ௧௦௫௫௮௨௪ Thai ๑๐๕๕๘๒๔ Tibetan ༡༠༥༥༨༢༤ Khmer ១០៥៥៨២៤ Lao ໑໐໕໕໘໒໔ Burmese ၁၀၅၅၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055824, here are decompositions:

  • 23 + 1055801 = 1055824
  • 41 + 1055783 = 1055824
  • 53 + 1055771 = 1055824
  • 83 + 1055741 = 1055824
  • 227 + 1055597 = 1055824
  • 233 + 1055591 = 1055824
  • 257 + 1055567 = 1055824
  • 281 + 1055543 = 1055824

Showing the first eight; more decompositions exist.

Hex color
#101C50
RGB(16, 28, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.28.80.

Address
0.16.28.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.28.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 5824 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5824-05-01 (DMMYYYY (Euro, single-digit day))
  • 5824-10-05 (MMDYYYY (US, single-digit day))
  • 5824-05-10 (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 1,055,824 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°.