Live analysis

1,013,220

1,013,220 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.).

1,013,220 (one million thirteen thousand two hundred twenty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 13 × 433. Its proper divisors sum to 2,304,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF75E4.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,208 1,013,209 1,013,210 1,013,211 1,013,212 1,013,213 1,013,214 1,013,215 1,013,216 1,013,217 1,013,218 1,013,219 1,013,220 1,013,221 1,013,222 1,013,223 1,013,224 1,013,225 1,013,226 1,013,227 1,013,228 1,013,229 1,013,230 1,013,231 1,013,232

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Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 223,101
Square (n²): 1,026,614,768,400
Cube (n³): 1,040,186,615,638,248,000
Divisor count: 72
σ(n) — sum of divisors: 3,317,496
φ(n) — Euler's totient: 248,832
Sum of prime factors: 461

Primality

Prime factorization: 2 ² × 3 ² × 5 × 13 × 433

Nearest primes: 1,013,203 (−17) · 1,013,227 (+7)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 26 · 30 · 36 · 39 · 45 · 52 · 60 · 65 · 78 · 90 · 117 · 130 · 156 · 180 · 195 · 234 · 260 · 390 · 433 · 468 · 585 · 780 · 866 · 1170 · 1299 · 1732 · 2165 · 2340 · 2598 · 3897 · 4330 · 5196 · 5629 · 6495 · 7794 · 8660 · 11258 · 12990 · 15588 · 16887 · 19485 · 22516 · 25980 · 28145 · 33774 · 38970 · 50661 · 56290 · 67548 · 77940 · 84435 · 101322 · 112580 · 168870 · 202644 · 253305 · 337740 · 506610 (half) · 1013220

Aliquot sum (sum of proper divisors): 2,304,276

Factor pairs (a × b = 1,013,220)

1 × 1013220

2 × 506610

3 × 337740

4 × 253305

5 × 202644

6 × 168870

9 × 112580

10 × 101322

12 × 84435

13 × 77940

15 × 67548

18 × 56290

20 × 50661

26 × 38970

30 × 33774

36 × 28145

39 × 25980

45 × 22516

52 × 19485

60 × 16887

65 × 15588

78 × 12990

90 × 11258

117 × 8660

130 × 7794

156 × 6495

180 × 5629

195 × 5196

234 × 4330

260 × 3897

390 × 2598

433 × 2340

468 × 2165

585 × 1732

780 × 1299

866 × 1170

First multiples

1,013,220 · 2,026,440 (double) · 3,039,660 · 4,052,880 · 5,066,100 · 6,079,320 · 7,092,540 · 8,105,760 · 9,118,980 · 10,132,200

Sums & aliquot sequence

As a sum of two squares: 96² + 1,002² = 426² + 912² = 474² + 888² = 678² + 744²

As consecutive integers: 337,739 + 337,740 + 337,741 202,642 + 202,643 + 202,644 + 202,645 + 202,646 126,649 + 126,650 + … + 126,656 112,576 + 112,577 + … + 112,584

Aliquot sequence: 1,013,220 → 2,304,276 → 3,486,348 → 6,033,652 → 4,525,246 → 3,021,362 → 1,510,684 → 1,538,404 → 1,679,132 → 2,007,628 → 2,079,728 → 2,681,872 → 2,682,864 → 5,080,528 → 5,081,520 → 11,203,152 → 18,675,888 — unresolved within range

Continued fraction of √n

√1,013,220 = [1006; (1, 1, 2, 3, 55, 1, 1, 1, 2, 5, 1, 222, 1, 5, 2, 1, 1, 1, 55, 3, 2, 1, 1, 2012)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand two hundred twenty
Ordinal: 1013220th
Binary: 11110111010111100100
Octal: 3672744
Hexadecimal: 0xF75E4
Base64: D3Xk
One's complement: 4,293,954,075 (32-bit)
Scientific notation: 1.01322 × 10⁶
As a duration: 1,013,220 s = 11 days, 17 hours, 27 minutes

In other bases

ternary (3) 1220110212200

quaternary (4) 3313113210

quinary (5) 224410340

senary (6) 33414500

septenary (7) 11416665

nonary (9) 1813780

undecimal (11) 63227a

duodecimal (12) 40a430

tridecimal (13) 296250

tetradecimal (14) 1c536c

pentadecimal (15) 150330

As an angle

1,013,220° = 2,814 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Chinese: 一百零一萬三千二百二十
Chinese (financial): 壹佰零壹萬參仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٠١٣٢٢٠ Devanagari १०१३२२० Bengali ১০১৩২২০ Tamil ௧௦௧௩௨௨௦ Thai ๑๐๑๓๒๒๐ Tibetan ༡༠༡༣༢༢༠ Khmer ១០១៣២២០ Lao ໑໐໑໓໒໒໐ Burmese ၁၀၁၃၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013220, here are decompositions:

17 + 1013203 = 1013220
23 + 1013197 = 1013220
67 + 1013153 = 1013220
157 + 1013063 = 1013220
167 + 1013053 = 1013220
179 + 1013041 = 1013220
191 + 1013029 = 1013220
211 + 1013009 = 1013220

Showing the first eight; more decompositions exist.

Hex color

#0F75E4

RGB(15, 117, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.228.

Address: 0.15.117.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.228

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3220 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3220-10-01 (MMDYYYY (US, single-digit day))
3220-01-10 (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 1,013,220 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 US1,013,220 on Google Patents ↗ Look up on USPTO ↗