Live analysis

1,006,224

1,006,224 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.).

1,006,224 (one million six thousand two hundred twenty-four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 20,963. Its proper divisors sum to 1,593,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A90.

Abundant Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,006,212 1,006,213 1,006,214 1,006,215 1,006,216 1,006,217 1,006,218 1,006,219 1,006,220 1,006,221 1,006,222 1,006,223 1,006,224 1,006,225 1,006,226 1,006,227 1,006,228 1,006,229 1,006,230 1,006,231 1,006,232 1,006,233 1,006,234 1,006,235 1,006,236

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,226,001
Square (n²): 1,012,486,738,176
Cube (n³): 1,018,788,455,634,407,424
Divisor count: 20
σ(n) — sum of divisors: 2,599,536
φ(n) — Euler's totient: 335,392
Sum of prime factors: 20,974

Primality

Prime factorization: 2 ⁴ × 3 × 20963

Nearest primes: 1,006,219 (−5) · 1,006,231 (+7)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 20963 · 41926 · 62889 · 83852 · 125778 · 167704 · 251556 · 335408 · 503112 (half) · 1006224

Aliquot sum (sum of proper divisors): 1,593,312

Factor pairs (a × b = 1,006,224)

1 × 1006224

2 × 503112

3 × 335408

4 × 251556

6 × 167704

8 × 125778

12 × 83852

16 × 62889

24 × 41926

48 × 20963

First multiples

1,006,224 · 2,012,448 (double) · 3,018,672 · 4,024,896 · 5,031,120 · 6,037,344 · 7,043,568 · 8,049,792 · 9,056,016 · 10,062,240

Sums & aliquot sequence

As consecutive integers: 335,407 + 335,408 + 335,409 31,429 + 31,430 + … + 31,460 10,434 + 10,435 + … + 10,529

Aliquot sequence: 1,006,224 → 1,593,312 → 3,188,640 → 9,342,816 → 18,687,648 → 37,377,312 → 74,756,640 → 208,773,600 → 635,422,368 → 1,297,107,168 → 2,594,216,352 → 5,847,582,048 → 13,577,239,200 — keeps growing

Continued fraction of √n

√1,006,224 = [1003; (9, 3, 42, 2, 1, 2, 1, 23, 6, 2, 2, 4, 5, 8, 7, 1, 1, 40, 2, 2, 3, 2, 6, 1, …)]

Representations

In words: one million six thousand two hundred twenty-four
Ordinal: 1006224th
Binary: 11110101101010010000
Octal: 3655220
Hexadecimal: 0xF5A90
Base64: D1qQ
One's complement: 4,293,961,071 (32-bit)
Scientific notation: 1.006224 × 10⁶
As a duration: 1,006,224 s = 11 days, 15 hours, 30 minutes, 24 seconds

In other bases

ternary (3) 1220010021120

quaternary (4) 3311222100

quinary (5) 224144344

senary (6) 33322240

septenary (7) 11360412

nonary (9) 1803246

undecimal (11) 627a9a

duodecimal (12) 406380

tridecimal (13) 292ccb

tetradecimal (14) 1c29b2

pentadecimal (15) 14d219

As an angle

1,006,224° = 2,795 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千二百二十四
Chinese (financial): 壹佰萬陸仟貳佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٢٢٤ Devanagari १००६२२४ Bengali ১০০৬২২৪ Tamil ௧௦௦௬௨௨௪ Thai ๑๐๐๖๒๒๔ Tibetan ༡༠༠༦༢༢༤ Khmer ១០០៦២២៤ Lao ໑໐໐໖໒໒໔ Burmese ၁၀၀၆၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006224, here are decompositions:

5 + 1006219 = 1006224
7 + 1006217 = 1006224
31 + 1006193 = 1006224
47 + 1006177 = 1006224
53 + 1006171 = 1006224
61 + 1006163 = 1006224
71 + 1006153 = 1006224
73 + 1006151 = 1006224

Showing the first eight; more decompositions exist.

Hex color

#0F5A90

RGB(15, 90, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.144.

Address: 0.15.90.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.144

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 1,006,224 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 US1,006,224 on Google Patents ↗ Look up on USPTO ↗