Live analysis

1,009,224

1,009,224 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.).

1,009,224 (one million nine thousand two hundred twenty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 107 × 131. Its proper divisors sum to 1,770,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6648.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,009,212 1,009,213 1,009,214 1,009,215 1,009,216 1,009,217 1,009,218 1,009,219 1,009,220 1,009,221 1,009,222 1,009,223 1,009,224 1,009,225 1,009,226 1,009,227 1,009,228 1,009,229 1,009,230 1,009,231 1,009,232 1,009,233 1,009,234 1,009,235 1,009,236

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,229,001
Recamán's sequence: a(347,003) = 1,009,224
Square (n²): 1,018,533,082,176
Cube (n³): 1,027,928,031,325,991,424
Divisor count: 48
σ(n) — sum of divisors: 2,779,920
φ(n) — Euler's totient: 330,720
Sum of prime factors: 250

Primality

Prime factorization: 2 ³ × 3 ² × 107 × 131

Nearest primes: 1,009,207 (−17) · 1,009,237 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 107 · 131 · 214 · 262 · 321 · 393 · 428 · 524 · 642 · 786 · 856 · 963 · 1048 · 1179 · 1284 · 1572 · 1926 · 2358 · 2568 · 3144 · 3852 · 4716 · 7704 · 9432 · 14017 · 28034 · 42051 · 56068 · 84102 · 112136 · 126153 · 168204 · 252306 · 336408 · 504612 (half) · 1009224

Aliquot sum (sum of proper divisors): 1,770,696

Factor pairs (a × b = 1,009,224)

1 × 1009224

2 × 504612

3 × 336408

4 × 252306

6 × 168204

8 × 126153

9 × 112136

12 × 84102

18 × 56068

24 × 42051

36 × 28034

72 × 14017

107 × 9432

131 × 7704

214 × 4716

262 × 3852

321 × 3144

393 × 2568

428 × 2358

524 × 1926

642 × 1572

786 × 1284

856 × 1179

963 × 1048

First multiples

1,009,224 · 2,018,448 (double) · 3,027,672 · 4,036,896 · 5,046,120 · 6,055,344 · 7,064,568 · 8,073,792 · 9,083,016 · 10,092,240

Sums & aliquot sequence

As consecutive integers: 336,407 + 336,408 + 336,409 112,132 + 112,133 + … + 112,140 63,069 + 63,070 + … + 63,084 21,002 + 21,003 + … + 21,049

Aliquot sequence: 1,009,224 → 1,770,696 → 3,025,134 → 4,854,546 → 5,933,454 → 5,933,466 → 10,517,094 → 16,193,946 → 16,278,054 → 19,006,650 → 41,016,852 → 68,765,184 → 129,709,092 → 174,208,060 → 219,770,756 → 164,828,074 → 93,163,766 — unresolved within range

Continued fraction of √n

√1,009,224 = [1004; (1, 1, 1, 1, 27, 1, 2, 3, 6, 1, 9, 5, 2, 6, 2, 79, 1, 9, 2, 2, 1, 2, 1, 4, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand two hundred twenty-four
Ordinal: 1009224th
Binary: 11110110011001001000
Octal: 3663110
Hexadecimal: 0xF6648
Base64: D2ZI
One's complement: 4,293,958,071 (32-bit)
Scientific notation: 1.009224 × 10⁶
As a duration: 1,009,224 s = 11 days, 16 hours, 20 minutes, 24 seconds

In other bases

ternary (3) 1220021101200

quaternary (4) 3312121020

quinary (5) 224243344

senary (6) 33344200

septenary (7) 11402226

nonary (9) 1807350

undecimal (11) 62a277

duodecimal (12) 408060

tridecimal (13) 294498

tetradecimal (14) 1c3b16

pentadecimal (15) 14e069

As an angle

1,009,224° = 2,803 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬九千二百二十四
Chinese (financial): 壹佰萬玖仟貳佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٠٩٢٢٤ Devanagari १००९२२४ Bengali ১০০৯২২৪ Tamil ௧௦௦௯௨௨௪ Thai ๑๐๐๙๒๒๔ Tibetan ༡༠༠༩༢༢༤ Khmer ១០០៩២២៤ Lao ໑໐໐໙໒໒໔ Burmese ၁၀၀၉၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009224, here are decompositions:

17 + 1009207 = 1009224
23 + 1009201 = 1009224
31 + 1009193 = 1009224
61 + 1009163 = 1009224
67 + 1009157 = 1009224
71 + 1009153 = 1009224
103 + 1009121 = 1009224
127 + 1009097 = 1009224

Showing the first eight; more decompositions exist.

Hex color

#0F6648

RGB(15, 102, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.102.72.

Address: 0.15.102.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.102.72

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 1,009,224 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 US1,009,224 on Google Patents ↗ Look up on USPTO ↗