Live analysis

1,004,220

1,004,220 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.).

1,004,220 (one million four thousand two hundred twenty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 7 × 797. Its proper divisors sum to 2,481,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF52BC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,208 1,004,209 1,004,210 1,004,211 1,004,212 1,004,213 1,004,214 1,004,215 1,004,216 1,004,217 1,004,218 1,004,219 1,004,220 1,004,221 1,004,222 1,004,223 1,004,224 1,004,225 1,004,226 1,004,227 1,004,228 1,004,229 1,004,230 1,004,231 1,004,232

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 224,001
Square (n²): 1,008,457,808,400
Cube (n³): 1,012,713,500,351,448,000
Divisor count: 72
σ(n) — sum of divisors: 3,485,664
φ(n) — Euler's totient: 229,248
Sum of prime factors: 819

Primality

Prime factorization: 2 ² × 3 ² × 5 × 7 × 797

Nearest primes: 1,004,209 (−11) · 1,004,221 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 28 · 30 · 35 · 36 · 42 · 45 · 60 · 63 · 70 · 84 · 90 · 105 · 126 · 140 · 180 · 210 · 252 · 315 · 420 · 630 · 797 · 1260 · 1594 · 2391 · 3188 · 3985 · 4782 · 5579 · 7173 · 7970 · 9564 · 11158 · 11955 · 14346 · 15940 · 16737 · 22316 · 23910 · 27895 · 28692 · 33474 · 35865 · 47820 · 50211 · 55790 · 66948 · 71730 · 83685 · 100422 · 111580 · 143460 · 167370 · 200844 · 251055 · 334740 · 502110 (half) · 1004220

Aliquot sum (sum of proper divisors): 2,481,444

Factor pairs (a × b = 1,004,220)

1 × 1004220

2 × 502110

3 × 334740

4 × 251055

5 × 200844

6 × 167370

7 × 143460

9 × 111580

10 × 100422

12 × 83685

14 × 71730

15 × 66948

18 × 55790

20 × 50211

21 × 47820

28 × 35865

30 × 33474

35 × 28692

36 × 27895

42 × 23910

45 × 22316

60 × 16737

63 × 15940

70 × 14346

84 × 11955

90 × 11158

105 × 9564

126 × 7970

140 × 7173

180 × 5579

210 × 4782

252 × 3985

315 × 3188

420 × 2391

630 × 1594

797 × 1260

First multiples

1,004,220 · 2,008,440 (double) · 3,012,660 · 4,016,880 · 5,021,100 · 6,025,320 · 7,029,540 · 8,033,760 · 9,037,980 · 10,042,200

Sums & aliquot sequence

As consecutive integers: 334,739 + 334,740 + 334,741 200,842 + 200,843 + 200,844 + 200,845 + 200,846 143,457 + 143,458 + … + 143,463 125,524 + 125,525 + … + 125,531

Aliquot sequence: 1,004,220 → 2,481,444 → 4,885,916 → 4,944,100 → 7,548,590 → 7,980,082 → 5,500,622 → 3,235,714 → 1,625,546 → 1,030,198 → 634,010 → 595,246 → 297,626 → 221,872 → 279,956 → 264,364 → 234,596 — unresolved within range

Continued fraction of √n

√1,004,220 = [1002; (9, 3, 1, 1, 2, 5, 1, 3, 1, 11, 15, 4, 1, 1, 1, 17, 1, 2, 1, 9, 1, 6, 35, 1, …)]

Representations

In words: one million four thousand two hundred twenty
Ordinal: 1004220th
Binary: 11110101001010111100
Octal: 3651274
Hexadecimal: 0xF52BC
Base64: D1K8
One's complement: 4,293,963,075 (32-bit)
Scientific notation: 1.00422 × 10⁶
As a duration: 1,004,220 s = 11 days, 14 hours, 57 minutes

In other bases

ternary (3) 1220000112100

quaternary (4) 3311022330

quinary (5) 224113340

senary (6) 33305100

septenary (7) 11351520

nonary (9) 1800470

undecimal (11) 626538

duodecimal (12) 405190

tridecimal (13) 292119

tetradecimal (14) 1c1d80

pentadecimal (15) 14c830

As an angle

1,004,220° = 2,789 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Chinese: 一百萬四千二百二十
Chinese (financial): 壹佰萬肆仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٤٢٢٠ Devanagari १००४२२० Bengali ১০০৪২২০ Tamil ௧௦௦௪௨௨௦ Thai ๑๐๐๔๒๒๐ Tibetan ༡༠༠༤༢༢༠ Khmer ១០០៤២២០ Lao ໑໐໐໔໒໒໐ Burmese ၁၀၀၄၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004220, here are decompositions:

11 + 1004209 = 1004220
53 + 1004167 = 1004220
59 + 1004161 = 1004220
79 + 1004141 = 1004220
83 + 1004137 = 1004220
101 + 1004119 = 1004220
103 + 1004117 = 1004220
131 + 1004089 = 1004220

Showing the first eight; more decompositions exist.

Hex color

#0F52BC

RGB(15, 82, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.188.

Address: 0.15.82.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.188

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

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 1,004,220 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,004,220 on Google Patents ↗ Look up on USPTO ↗