Live analysis

1,004,224

1,004,224 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.).

1,004,224 (one million four thousand two hundred twenty-four) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 13 × 17 × 71. Its proper divisors sum to 1,300,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF52C0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,212 1,004,213 1,004,214 1,004,215 1,004,216 1,004,217 1,004,218 1,004,219 1,004,220 1,004,221 1,004,222 1,004,223 1,004,224 1,004,225 1,004,226 1,004,227 1,004,228 1,004,229 1,004,230 1,004,231 1,004,232 1,004,233 1,004,234 1,004,235 1,004,236

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 4,224,001
Square (n²): 1,008,465,842,176
Cube (n³): 1,012,725,601,893,351,424
Divisor count: 56
σ(n) — sum of divisors: 2,304,288
φ(n) — Euler's totient: 430,080
Sum of prime factors: 113

Primality

Prime factorization: 2 ⁶ × 13 × 17 × 71

Nearest primes: 1,004,221 (−3) · 1,004,233 (+9)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 8 · 13 · 16 · 17 · 26 · 32 · 34 · 52 · 64 · 68 · 71 · 104 · 136 · 142 · 208 · 221 · 272 · 284 · 416 · 442 · 544 · 568 · 832 · 884 · 923 · 1088 · 1136 · 1207 · 1768 · 1846 · 2272 · 2414 · 3536 · 3692 · 4544 · 4828 · 7072 · 7384 · 9656 · 14144 · 14768 · 15691 · 19312 · 29536 · 31382 · 38624 · 59072 · 62764 · 77248 · 125528 · 251056 · 502112 (half) · 1004224

Aliquot sum (sum of proper divisors): 1,300,064

Factor pairs (a × b = 1,004,224)

1 × 1004224

2 × 502112

4 × 251056

8 × 125528

13 × 77248

16 × 62764

17 × 59072

26 × 38624

32 × 31382

34 × 29536

52 × 19312

64 × 15691

68 × 14768

71 × 14144

104 × 9656

136 × 7384

142 × 7072

208 × 4828

221 × 4544

272 × 3692

284 × 3536

416 × 2414

442 × 2272

544 × 1846

568 × 1768

832 × 1207

884 × 1136

923 × 1088

First multiples

1,004,224 · 2,008,448 (double) · 3,012,672 · 4,016,896 · 5,021,120 · 6,025,344 · 7,029,568 · 8,033,792 · 9,038,016 · 10,042,240

Sums & aliquot sequence

As consecutive integers: 77,242 + 77,243 + … + 77,254 59,064 + 59,065 + … + 59,080 14,109 + 14,110 + … + 14,179 7,782 + 7,783 + … + 7,909

Aliquot sequence: 1,004,224 → 1,300,064 → 1,259,500 → 1,754,420 → 1,929,904 → 1,809,316 → 1,356,994 → 797,246 → 406,714 → 399,686 → 285,514 → 142,760 → 189,880 → 250,760 → 313,540 → 358,292 → 367,468 — unresolved within range

Continued fraction of √n

√1,004,224 = [1002; (9, 9, 8, 222, 1, 1, 3, 5, 3, 1, 3, 9, 1, 23, 1, 5, 3, 1, 1, 10, 3, 1, 3, 3, …)]

Representations

In words: one million four thousand two hundred twenty-four
Ordinal: 1004224th
Binary: 11110101001011000000
Octal: 3651300
Hexadecimal: 0xF52C0
Base64: D1LA
One's complement: 4,293,963,071 (32-bit)
Scientific notation: 1.004224 × 10⁶
As a duration: 1,004,224 s = 11 days, 14 hours, 57 minutes, 4 seconds

In other bases

ternary (3) 1220000112111

quaternary (4) 3311023000

quinary (5) 224113344

senary (6) 33305104

septenary (7) 11351524

nonary (9) 1800474

undecimal (11) 626541

duodecimal (12) 405194

tridecimal (13) 292120

tetradecimal (14) 1c1d84

pentadecimal (15) 14c834

As an angle

1,004,224° = 2,789 × 360° + 184°

184° ≈ 3.211 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬四千二百二十四
Chinese (financial): 壹佰萬肆仟貳佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٠٤٢٢٤ Devanagari १००४२२४ Bengali ১০০৪২২৪ Tamil ௧௦௦௪௨௨௪ Thai ๑๐๐๔๒๒๔ Tibetan ༡༠༠༤༢༢༤ Khmer ១០០៤២២៤ Lao ໑໐໐໔໒໒໔ Burmese ၁၀၀၄၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004224, here are decompositions:

3 + 1004221 = 1004224
83 + 1004141 = 1004224
107 + 1004117 = 1004224
167 + 1004057 = 1004224
191 + 1004033 = 1004224
197 + 1004027 = 1004224
281 + 1003943 = 1004224
293 + 1003931 = 1004224

Showing the first eight; more decompositions exist.

Hex color

#0F52C0

RGB(15, 82, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.192.

Address: 0.15.82.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.192

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 1,004,224 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 US1,004,224 on Google Patents ↗ Look up on USPTO ↗