Live analysis

1,009,424

1,009,424 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.).

1,009,424 (one million nine thousand four hundred twenty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 23 × 211. Its proper divisors sum to 1,198,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6710.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,009,412 1,009,413 1,009,414 1,009,415 1,009,416 1,009,417 1,009,418 1,009,419 1,009,420 1,009,421 1,009,422 1,009,423 1,009,424 1,009,425 1,009,426 1,009,427 1,009,428 1,009,429 1,009,430 1,009,431 1,009,432 1,009,433 1,009,434 1,009,435 1,009,436

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 4,249,001
Recamán's sequence: a(346,603) = 1,009,424
Square (n²): 1,018,936,811,776
Cube (n³): 1,028,539,272,290,177,024
Divisor count: 40
σ(n) — sum of divisors: 2,208,192
φ(n) — Euler's totient: 443,520
Sum of prime factors: 255

Primality

Prime factorization: 2 ⁴ × 13 × 23 × 211

Nearest primes: 1,009,417 (−7) · 1,009,433 (+9)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 13 · 16 · 23 · 26 · 46 · 52 · 92 · 104 · 184 · 208 · 211 · 299 · 368 · 422 · 598 · 844 · 1196 · 1688 · 2392 · 2743 · 3376 · 4784 · 4853 · 5486 · 9706 · 10972 · 19412 · 21944 · 38824 · 43888 · 63089 · 77648 · 126178 · 252356 · 504712 (half) · 1009424

Aliquot sum (sum of proper divisors): 1,198,768

Factor pairs (a × b = 1,009,424)

1 × 1009424

2 × 504712

4 × 252356

8 × 126178

13 × 77648

16 × 63089

23 × 43888

26 × 38824

46 × 21944

52 × 19412

92 × 10972

104 × 9706

184 × 5486

208 × 4853

211 × 4784

299 × 3376

368 × 2743

422 × 2392

598 × 1688

844 × 1196

First multiples

1,009,424 · 2,018,848 (double) · 3,028,272 · 4,037,696 · 5,047,120 · 6,056,544 · 7,065,968 · 8,075,392 · 9,084,816 · 10,094,240

Sums & aliquot sequence

As consecutive integers: 77,642 + 77,643 + … + 77,654 43,877 + 43,878 + … + 43,899 31,529 + 31,530 + … + 31,560 4,679 + 4,680 + … + 4,889

Aliquot sequence: 1,009,424 → 1,198,768 → 1,123,876 → 994,296 → 1,638,744 → 2,458,176 → 5,344,704 → 10,514,040 → 21,812,520 → 44,626,200 → 93,716,880 → 196,806,192 → 357,830,928 → 938,836,080 → 3,229,022,160 → 11,044,064,304 — keeps growing

Continued fraction of √n

√1,009,424 = [1004; (1, 2, 2, 1, 9, 1, 4, 1, 1, 3, 7, 9, 2, 10, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand four hundred twenty-four
Ordinal: 1009424th
Binary: 11110110011100010000
Octal: 3663420
Hexadecimal: 0xF6710
Base64: D2cQ
One's complement: 4,293,957,871 (32-bit)
Scientific notation: 1.009424 × 10⁶
As a duration: 1,009,424 s = 11 days, 16 hours, 23 minutes, 44 seconds

In other bases

ternary (3) 1220021200002

quaternary (4) 3312130100

quinary (5) 224300144

senary (6) 33345132

septenary (7) 11402633

nonary (9) 1807602

undecimal (11) 62a439

duodecimal (12) 4081a8

tridecimal (13) 2945c0

tetradecimal (14) 1c3c1a

pentadecimal (15) 14e14e

As an angle

1,009,424° = 2,803 × 360° + 344°

344° ≈ 6.004 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬九千四百二十四
Chinese (financial): 壹佰萬玖仟肆佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٠٩٤٢٤ Devanagari १००९४२४ Bengali ১০০৯৪২৪ Tamil ௧௦௦௯௪௨௪ Thai ๑๐๐๙๔๒๔ Tibetan ༡༠༠༩༤༢༤ Khmer ១០០៩៤២៤ Lao ໑໐໐໙໔໒໔ Burmese ၁၀၀၉၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009424, here are decompositions:

7 + 1009417 = 1009424
37 + 1009387 = 1009424
67 + 1009357 = 1009424
103 + 1009321 = 1009424
181 + 1009243 = 1009424
223 + 1009201 = 1009424
271 + 1009153 = 1009424
433 + 1008991 = 1009424

Showing the first eight; more decompositions exist.

Hex color

#0F6710

RGB(15, 103, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.103.16.

Address: 0.15.103.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.103.16

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 1,009,424 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 US1,009,424 on Google Patents ↗ Look up on USPTO ↗