Live analysis

1,003,224

1,003,224 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.).

1,003,224 (one million three thousand two hundred twenty-four) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 41,801. Its proper divisors sum to 1,504,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4ED8.

Abundant Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

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 1,003,233 1,003,234 1,003,235 1,003,236

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,223,001
Square (n²): 1,006,458,394,176
Cube (n³): 1,009,703,216,038,823,424
Divisor count: 16
σ(n) — sum of divisors: 2,508,120
φ(n) — Euler's totient: 334,400
Sum of prime factors: 41,810

Primality

Prime factorization: 2 ³ × 3 × 41801

Nearest primes: 1,003,201 (−23) · 1,003,241 (+17)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 41801 · 83602 · 125403 · 167204 · 250806 · 334408 · 501612 (half) · 1003224

Aliquot sum (sum of proper divisors): 1,504,896

Factor pairs (a × b = 1,003,224)

1 × 1003224

2 × 501612

3 × 334408

4 × 250806

6 × 167204

8 × 125403

12 × 83602

24 × 41801

First multiples

1,003,224 · 2,006,448 (double) · 3,009,672 · 4,012,896 · 5,016,120 · 6,019,344 · 7,022,568 · 8,025,792 · 9,029,016 · 10,032,240

Sums & aliquot sequence

As consecutive integers: 334,407 + 334,408 + 334,409 62,694 + 62,695 + … + 62,709 20,877 + 20,878 + … + 20,924

Aliquot sequence: 1,003,224 → 1,504,896 → 2,493,504 → 5,681,740 → 7,005,956 → 5,422,936 → 4,770,104 → 4,392,616 → 3,865,784 → 3,940,336 → 3,694,096 → 4,485,936 → 10,036,944 → 18,669,552 → 36,743,568 → 63,175,632 → 114,104,688 — unresolved within range

Continued fraction of √n

√1,003,224 = [1001; (1, 1, 1, 1, 3, 7, 3, 1, 1, 4, 3, 26, 21, 20, 1, 1, 1, 1, 8, 1, 5, 1, 1, 5, …)]

Representations

In words: one million three thousand two hundred twenty-four
Ordinal: 1003224th
Binary: 11110100111011011000
Octal: 3647330
Hexadecimal: 0xF4ED8
Base64: D07Y
One's complement: 4,293,964,071 (32-bit)
Scientific notation: 1.003224 × 10⁶
As a duration: 1,003,224 s = 11 days, 14 hours, 40 minutes, 24 seconds

In other bases

ternary (3) 1212222011110

quaternary (4) 3310323120

quinary (5) 224100344

senary (6) 33300320

septenary (7) 11345565

nonary (9) 1788143

undecimal (11) 625812

duodecimal (12) 4046a0

tridecimal (13) 291831

tetradecimal (14) 1c186c

pentadecimal (15) 14c3b9

As an angle

1,003,224° = 2,786 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬三千二百二十四
Chinese (financial): 壹佰萬參仟貳佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٠٣٢٢٤ Devanagari १००३२२४ Bengali ১০০৩২২৪ Tamil ௧௦௦௩௨௨௪ Thai ๑๐๐๓๒๒๔ Tibetan ༡༠༠༣༢༢༤ Khmer ១០០៣២២៤ Lao ໑໐໐໓໒໒໔ Burmese ၁၀၀၃၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003224, here are decompositions:

23 + 1003201 = 1003224
31 + 1003193 = 1003224
83 + 1003141 = 1003224
113 + 1003111 = 1003224
127 + 1003097 = 1003224
137 + 1003087 = 1003224
223 + 1003001 = 1003224
251 + 1002973 = 1003224

Showing the first eight; more decompositions exist.

Hex color

#0F4ED8

RGB(15, 78, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.216.

Address: 0.15.78.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.216

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 1,003,224 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 US1,003,224 on Google Patents ↗ Look up on USPTO ↗