Live analysis

1,002,820

1,002,820 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.).

1,002,820 (one million two thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 5 × 7 × 13 × 19 × 29. Its proper divisors sum to 1,819,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4D44.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,002,808 1,002,809 1,002,810 1,002,811 1,002,812 1,002,813 1,002,814 1,002,815 1,002,816 1,002,817 1,002,818 1,002,819 1,002,820 1,002,821 1,002,822 1,002,823 1,002,824 1,002,825 1,002,826 1,002,827 1,002,828 1,002,829 1,002,830 1,002,831 1,002,832

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 282,001
Square (n²): 1,005,647,952,400
Cube (n³): 1,008,483,879,625,768,000
Divisor count: 96
σ(n) — sum of divisors: 2,822,400
φ(n) — Euler's totient: 290,304
Sum of prime factors: 77

Primality

Prime factorization: 2 ² × 5 × 7 × 13 × 19 × 29

Nearest primes: 1,002,817 (−3) · 1,002,821 (+1)

Divisors & multiples

All divisors (96)

1 · 2 · 4 · 5 · 7 · 10 · 13 · 14 · 19 · 20 · 26 · 28 · 29 · 35 · 38 · 52 · 58 · 65 · 70 · 76 · 91 · 95 · 116 · 130 · 133 · 140 · 145 · 182 · 190 · 203 · 247 · 260 · 266 · 290 · 364 · 377 · 380 · 406 · 455 · 494 · 532 · 551 · 580 · 665 · 754 · 812 · 910 · 988 · 1015 · 1102 · 1235 · 1330 · 1508 · 1729 · 1820 · 1885 · 2030 · 2204 · 2470 · 2639 · 2660 · 2755 · 3458 · 3770 · 3857 · 4060 · 4940 · 5278 · 5510 · 6916 · 7163 · 7540 · 7714 · 8645 · 10556 · 11020 · 13195 · 14326 · 15428 · 17290 · 19285 · 26390 · 28652 · 34580 · 35815 · 38570 · 50141 · 52780 · 71630 · 77140 · 100282 · 143260 · 200564 · 250705 · 501410 (half) · 1002820

Aliquot sum (sum of proper divisors): 1,819,580

Factor pairs (a × b = 1,002,820)

1 × 1002820

2 × 501410

4 × 250705

5 × 200564

7 × 143260

10 × 100282

13 × 77140

14 × 71630

19 × 52780

20 × 50141

26 × 38570

28 × 35815

29 × 34580

35 × 28652

38 × 26390

52 × 19285

58 × 17290

65 × 15428

70 × 14326

76 × 13195

91 × 11020

95 × 10556

116 × 8645

130 × 7714

133 × 7540

140 × 7163

145 × 6916

182 × 5510

190 × 5278

203 × 4940

247 × 4060

260 × 3857

266 × 3770

290 × 3458

364 × 2755

377 × 2660

380 × 2639

406 × 2470

455 × 2204

494 × 2030

532 × 1885

551 × 1820

580 × 1729

665 × 1508

754 × 1330

812 × 1235

910 × 1102

988 × 1015

First multiples

1,002,820 · 2,005,640 (double) · 3,008,460 · 4,011,280 · 5,014,100 · 6,016,920 · 7,019,740 · 8,022,560 · 9,025,380 · 10,028,200

Sums & aliquot sequence

As consecutive integers: 200,562 + 200,563 + 200,564 + 200,565 + 200,566 143,257 + 143,258 + … + 143,263 125,349 + 125,350 + … + 125,356 77,134 + 77,135 + … + 77,146

Aliquot sequence: 1,002,820 → 1,819,580 → 2,668,036 → 2,668,092 → 4,761,540 → 11,749,500 → 30,724,932 → 51,208,444 → 53,978,596 → 56,184,604 → 56,343,364 → 66,588,284 → 69,424,516 → 69,613,180 → 118,245,764 → 137,331,964 → 162,302,084 — unresolved within range

Continued fraction of √n

√1,002,820 = [1001; (2, 2, 4, 24, 2, 222, 22, 222, 2, 24, 4, 2, 2, 2002)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million two thousand eight hundred twenty
Ordinal: 1002820th
Binary: 11110100110101000100
Octal: 3646504
Hexadecimal: 0xF4D44
Base64: D01E
One's complement: 4,293,964,475 (32-bit)
Scientific notation: 1.00282 × 10⁶
As a duration: 1,002,820 s = 11 days, 14 hours, 33 minutes, 40 seconds

In other bases

ternary (3) 1212221121111

quaternary (4) 3310311010

quinary (5) 224042240

senary (6) 33254404

septenary (7) 11344450

nonary (9) 1787544

undecimal (11) 625485

duodecimal (12) 404404

tridecimal (13) 2915b0

tetradecimal (14) 1c1660

pentadecimal (15) 14c1ea

Palindromic in base 12

As an angle

1,002,820° = 2,785 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬二千八百二十
Chinese (financial): 壹佰萬貳仟捌佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٢٨٢٠ Devanagari १००२८२० Bengali ১০০২৮২০ Tamil ௧௦௦௨௮௨௦ Thai ๑๐๐๒๘๒๐ Tibetan ༡༠༠༢༨༢༠ Khmer ១០០២៨២០ Lao ໑໐໐໒໘໒໐ Burmese ၁၀၀၂၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002820, here are decompositions:

3 + 1002817 = 1002820
11 + 1002809 = 1002820
23 + 1002797 = 1002820
47 + 1002773 = 1002820
53 + 1002767 = 1002820
101 + 1002719 = 1002820
107 + 1002713 = 1002820
167 + 1002653 = 1002820

Showing the first eight; more decompositions exist.

Hex color

#0F4D44

RGB(15, 77, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.68.

Address: 0.15.77.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.68

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 1,002,820 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 US1,002,820 on Google Patents ↗ Look up on USPTO ↗