Live analysis

1,003,220

1,003,220 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.).

1,003,220 (one million three thousand two hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 103 × 487. Its proper divisors sum to 1,128,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4ED4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,003,208 1,003,209 1,003,210 1,003,211 1,003,212 1,003,213 1,003,214 1,003,215 1,003,216 1,003,217 1,003,218 1,003,219 1,003,220 1,003,221 1,003,222 1,003,223 1,003,224 1,003,225 1,003,226 1,003,227 1,003,228 1,003,229 1,003,230 1,003,231 1,003,232

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 223,001
Square (n²): 1,006,450,368,400
Cube (n³): 1,009,691,138,586,248,000
Divisor count: 24
σ(n) — sum of divisors: 2,131,584
φ(n) — Euler's totient: 396,576
Sum of prime factors: 599

Primality

Prime factorization: 2 ² × 5 × 103 × 487

Nearest primes: 1,003,201 (−19) · 1,003,241 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 103 · 206 · 412 · 487 · 515 · 974 · 1030 · 1948 · 2060 · 2435 · 4870 · 9740 · 50161 · 100322 · 200644 · 250805 · 501610 (half) · 1003220

Aliquot sum (sum of proper divisors): 1,128,364

Factor pairs (a × b = 1,003,220)

1 × 1003220

2 × 501610

4 × 250805

5 × 200644

10 × 100322

20 × 50161

103 × 9740

206 × 4870

412 × 2435

487 × 2060

515 × 1948

974 × 1030

First multiples

1,003,220 · 2,006,440 (double) · 3,009,660 · 4,012,880 · 5,016,100 · 6,019,320 · 7,022,540 · 8,025,760 · 9,028,980 · 10,032,200

Sums & aliquot sequence

As consecutive integers: 200,642 + 200,643 + 200,644 + 200,645 + 200,646 125,399 + 125,400 + … + 125,406 25,061 + 25,062 + … + 25,100 9,689 + 9,690 + … + 9,791

Aliquot sequence: 1,003,220 → 1,128,364 → 846,280 → 1,057,940 → 1,355,464 → 1,468,376 → 1,921,864 → 2,196,536 → 2,313,544 → 2,024,366 → 1,012,186 → 736,550 → 633,526 → 322,778 → 164,422 → 83,978 → 43,222 — unresolved within range

Continued fraction of √n

√1,003,220 = [1001; (1, 1, 1, 1, 3, 1, 181, 3, 20, 1, 3, 16, 3, 3, 3, 1, 1, 1, 1, 1, 2, 3, 1, 4, …)]

Representations

In words: one million three thousand two hundred twenty
Ordinal: 1003220th
Binary: 11110100111011010100
Octal: 3647324
Hexadecimal: 0xF4ED4
Base64: D07U
One's complement: 4,293,964,075 (32-bit)
Scientific notation: 1.00322 × 10⁶
As a duration: 1,003,220 s = 11 days, 14 hours, 40 minutes, 20 seconds

In other bases

ternary (3) 1212222011022

quaternary (4) 3310323110

quinary (5) 224100340

senary (6) 33300312

septenary (7) 11345561

nonary (9) 1788138

undecimal (11) 625809

duodecimal (12) 404698

tridecimal (13) 29182a

tetradecimal (14) 1c1868

pentadecimal (15) 14c3b5

As an angle

1,003,220° = 2,786 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Chinese: 一百萬三千二百二十
Chinese (financial): 壹佰萬參仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٣٢٢٠ Devanagari १००३२२० Bengali ১০০৩২২০ Tamil ௧௦௦௩௨௨௦ Thai ๑๐๐๓๒๒๐ Tibetan ༡༠༠༣༢༢༠ Khmer ១០០៣២២០ Lao ໑໐໐໓໒໒໐ Burmese ၁၀၀၃၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003220, here are decompositions:

19 + 1003201 = 1003220
79 + 1003141 = 1003220
109 + 1003111 = 1003220
181 + 1003039 = 1003220
241 + 1002979 = 1003220
307 + 1002913 = 1003220
349 + 1002871 = 1003220
367 + 1002853 = 1003220

Showing the first eight; more decompositions exist.

Hex color

#0F4ED4

RGB(15, 78, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.212.

Address: 0.15.78.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.212

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 1,003,220 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 US1,003,220 on Google Patents ↗ Look up on USPTO ↗