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1,021,224

1,021,224 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.).

1,021,224 (one million twenty-one thousand two hundred twenty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 17 × 2,503. Its proper divisors sum to 1,683,096, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9528.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
4,221,201
Square (n²)
1,042,898,458,176
Cube (n³)
1,065,032,935,052,327,424
Divisor count
32
σ(n) — sum of divisors
2,704,320
φ(n) — Euler's totient
320,256
Sum of prime factors
2,529

Primality

Prime factorization: 2 3 × 3 × 17 × 2503

Nearest primes: 1,021,217 (−7) · 1,021,243 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 17 · 24 · 34 · 51 · 68 · 102 · 136 · 204 · 408 · 2503 · 5006 · 7509 · 10012 · 15018 · 20024 · 30036 · 42551 · 60072 · 85102 · 127653 · 170204 · 255306 · 340408 · 510612 (half) · 1021224
Aliquot sum (sum of proper divisors): 1,683,096
Factor pairs (a × b = 1,021,224)
1 × 1021224
2 × 510612
3 × 340408
4 × 255306
6 × 170204
8 × 127653
12 × 85102
17 × 60072
24 × 42551
34 × 30036
51 × 20024
68 × 15018
102 × 10012
136 × 7509
204 × 5006
408 × 2503
First multiples
1,021,224 · 2,042,448 (double) · 3,063,672 · 4,084,896 · 5,106,120 · 6,127,344 · 7,148,568 · 8,169,792 · 9,191,016 · 10,212,240

Sums & aliquot sequence

As consecutive integers: 340,407 + 340,408 + 340,409 63,819 + 63,820 + … + 63,834 60,064 + 60,065 + … + 60,080 21,252 + 21,253 + … + 21,299
Aliquot sequence: 1,021,224 1,683,096 2,747,304 6,468,696 12,401,064 23,771,436 35,962,308 55,125,052 41,343,796 41,158,484 34,932,076 30,413,540 33,766,492 26,886,884 20,245,516 15,184,144 14,368,652 — unresolved within range

Continued fraction of √n

√1,021,224 = [1010; (1, 1, 3, 1, 16, 4, 1, 5, 2, 40, 1, 3, 1, 2, 4, 11, 1, 4, 42, 1, 3, 1, 42, 4, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one million twenty-one thousand two hundred twenty-four
Ordinal
1021224th
Binary
11111001010100101000
Octal
3712450
Hexadecimal
0xF9528
Base64
D5Uo
One's complement
4,293,946,071 (32-bit)
Scientific notation
1.021224 × 10⁶
As a duration
1,021,224 s = 11 days, 19 hours, 40 minutes, 24 seconds
In other bases
ternary (3) 1220212212010
quaternary (4) 3321110220
quinary (5) 230134344
senary (6) 33515520
septenary (7) 11452221
nonary (9) 1825763
undecimal (11) 638296
duodecimal (12) 412ba0
tridecimal (13) 299a99
tetradecimal (14) 1c8248
pentadecimal (15) 1528b9

As an angle

1,021,224° = 2,836 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零二萬一千二百二十四
Chinese (financial)
壹佰零貳萬壹仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٢١٢٢٤ Devanagari १०२१२२४ Bengali ১০২১২২৪ Tamil ௧௦௨௧௨௨௪ Thai ๑๐๒๑๒๒๔ Tibetan ༡༠༢༡༢༢༤ Khmer ១០២១២២៤ Lao ໑໐໒໑໒໒໔ Burmese ၁၀၂၁၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021224, here are decompositions:

  • 7 + 1021217 = 1021224
  • 41 + 1021183 = 1021224
  • 67 + 1021157 = 1021224
  • 97 + 1021127 = 1021224
  • 101 + 1021123 = 1021224
  • 131 + 1021093 = 1021224
  • 137 + 1021087 = 1021224
  • 151 + 1021073 = 1021224

Showing the first eight; more decompositions exist.

Hex color
#0F9528
RGB(15, 149, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.149.40.

Address
0.15.149.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.149.40

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 1224 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1224-02-01 (DMMYYYY (Euro, single-digit day))
  • 1224-10-02 (MMDYYYY (US, single-digit day))
  • 1224-02-10 (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 1,021,224 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°.