Live analysis

1,001,220

1,001,220 is a composite number, even.

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1,001,220 (one million one thousand two hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 11 × 37 × 41. Its proper divisors sum to 2,216,316, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4704.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,001,208 1,001,209 1,001,210 1,001,211 1,001,212 1,001,213 1,001,214 1,001,215 1,001,216 1,001,217 1,001,218 1,001,219 1,001,220 1,001,221 1,001,222 1,001,223 1,001,224 1,001,225 1,001,226 1,001,227 1,001,228 1,001,229 1,001,230 1,001,231 1,001,232

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 221,001
Square (n²): 1,002,441,488,400
Cube (n³): 1,003,664,467,015,848,000
Divisor count: 96
σ(n) — sum of divisors: 3,217,536
φ(n) — Euler's totient: 230,400
Sum of prime factors: 101

Primality

Prime factorization: 2 ² × 3 × 5 × 11 × 37 × 41

Nearest primes: 1,001,219 (−1) · 1,001,237 (+17)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 30 · 33 · 37 · 41 · 44 · 55 · 60 · 66 · 74 · 82 · 110 · 111 · 123 · 132 · 148 · 164 · 165 · 185 · 205 · 220 · 222 · 246 · 330 · 370 · 407 · 410 · 444 · 451 · 492 · 555 · 615 · 660 · 740 · 814 · 820 · 902 · 1110 · 1221 · 1230 · 1353 · 1517 · 1628 · 1804 · 2035 · 2220 · 2255 · 2442 · 2460 · 2706 · 3034 · 4070 · 4510 · 4551 · 4884 · 5412 · 6068 · 6105 · 6765 · 7585 · 8140 · 9020 · 9102 · 12210 · 13530 · 15170 · 16687 · 18204 · 22755 · 24420 · 27060 · 30340 · 33374 · 45510 · 50061 · 66748 · 83435 · 91020 · 100122 · 166870 · 200244 · 250305 · 333740 · 500610 (half) · 1001220

Aliquot sum (sum of proper divisors): 2,216,316

Factor pairs (a × b = 1,001,220)

1 × 1001220

2 × 500610

3 × 333740

4 × 250305

5 × 200244

6 × 166870

10 × 100122

11 × 91020

12 × 83435

15 × 66748

20 × 50061

22 × 45510

30 × 33374

33 × 30340

37 × 27060

41 × 24420

44 × 22755

55 × 18204

60 × 16687

66 × 15170

74 × 13530

82 × 12210

110 × 9102

111 × 9020

123 × 8140

132 × 7585

148 × 6765

164 × 6105

165 × 6068

185 × 5412

205 × 4884

220 × 4551

222 × 4510

246 × 4070

330 × 3034

370 × 2706

407 × 2460

410 × 2442

444 × 2255

451 × 2220

492 × 2035

555 × 1804

615 × 1628

660 × 1517

740 × 1353

814 × 1230

820 × 1221

902 × 1110

First multiples

1,001,220 · 2,002,440 (double) · 3,003,660 · 4,004,880 · 5,006,100 · 6,007,320 · 7,008,540 · 8,009,760 · 9,010,980 · 10,012,200

Sums & aliquot sequence

As consecutive integers: 333,739 + 333,740 + 333,741 200,242 + 200,243 + 200,244 + 200,245 + 200,246 125,149 + 125,150 + … + 125,156 91,015 + 91,016 + … + 91,025

Aliquot sequence: 1,001,220 → 2,216,316 → 2,955,116 → 2,496,820 → 2,793,164 → 2,792,836 → 2,110,076 → 1,645,564 → 1,295,780 → 1,468,828 → 1,101,628 → 1,001,564 → 758,740 → 864,140 → 950,596 → 738,252 → 1,127,976 — unresolved within range

Continued fraction of √n

√1,001,220 = [1000; (1, 1, 1, 1, 3, 2, 9, 1, 4, 1, 2, 30, 1, 10, 1, 6, 1, 9, 12, 9, 1, 6, 1, 10, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one million one thousand two hundred twenty
Ordinal: 1001220th
Binary: 11110100011100000100
Octal: 3643404
Hexadecimal: 0xF4704
Base64: D0cE
One's complement: 4,293,966,075 (32-bit)
Scientific notation: 1.00122 × 10⁶
As a duration: 1,001,220 s = 11 days, 14 hours, 7 minutes

In other bases

ternary (3) 1212212102020

quaternary (4) 3310130010

quinary (5) 224014340

senary (6) 33243140

septenary (7) 11340003

nonary (9) 1785366

undecimal (11) 624260

duodecimal (12) 4034b0

tridecimal (13) 29094c

tetradecimal (14) 1c0c3a

pentadecimal (15) 14b9d0

As an angle

1,001,220° = 2,781 × 360° + 60°

60° ≈ 1.047 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓎆𓎆
Chinese: 一百萬一千二百二十
Chinese (financial): 壹佰萬壹仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٠٠١٢٢٠ Devanagari १००१२२० Bengali ১০০১২২০ Tamil ௧௦௦௧௨௨௦ Thai ๑๐๐๑๒๒๐ Tibetan ༡༠༠༡༢༢༠ Khmer ១០០១២២០ Lao ໑໐໐໑໒໒໐ Burmese ၁၀၀၁၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001220, here are decompositions:

23 + 1001197 = 1001220
29 + 1001191 = 1001220
43 + 1001177 = 1001220
47 + 1001173 = 1001220
61 + 1001159 = 1001220
67 + 1001153 = 1001220
97 + 1001123 = 1001220
113 + 1001107 = 1001220

Showing the first eight; more decompositions exist.

Hex color

#0F4704

RGB(15, 71, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.4.

Address: 0.15.71.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.4

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 1,001,220 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 US1,001,220 on Google Patents ↗ Look up on USPTO ↗