Live analysis

1,005,424

1,005,424 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.).

1,005,424 (one million five thousand four hundred twenty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 47 × 191. Its proper divisors sum to 1,280,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5770.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,005,412 1,005,413 1,005,414 1,005,415 1,005,416 1,005,417 1,005,418 1,005,419 1,005,420 1,005,421 1,005,422 1,005,423 1,005,424 1,005,425 1,005,426 1,005,427 1,005,428 1,005,429 1,005,430 1,005,431 1,005,432 1,005,433 1,005,434 1,005,435 1,005,436

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,245,001
Square (n²): 1,010,877,419,776
Cube (n³): 1,016,360,418,900,865,024
Divisor count: 40
σ(n) — sum of divisors: 2,285,568
φ(n) — Euler's totient: 419,520
Sum of prime factors: 253

Primality

Prime factorization: 2 ⁴ × 7 × 47 × 191

Nearest primes: 1,005,413 (−11) · 1,005,427 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 47 · 56 · 94 · 112 · 188 · 191 · 329 · 376 · 382 · 658 · 752 · 764 · 1316 · 1337 · 1528 · 2632 · 2674 · 3056 · 5264 · 5348 · 8977 · 10696 · 17954 · 21392 · 35908 · 62839 · 71816 · 125678 · 143632 · 251356 · 502712 (half) · 1005424

Aliquot sum (sum of proper divisors): 1,280,144

Factor pairs (a × b = 1,005,424)

1 × 1005424

2 × 502712

4 × 251356

7 × 143632

8 × 125678

14 × 71816

16 × 62839

28 × 35908

47 × 21392

56 × 17954

94 × 10696

112 × 8977

188 × 5348

191 × 5264

329 × 3056

376 × 2674

382 × 2632

658 × 1528

752 × 1337

764 × 1316

First multiples

1,005,424 · 2,010,848 (double) · 3,016,272 · 4,021,696 · 5,027,120 · 6,032,544 · 7,037,968 · 8,043,392 · 9,048,816 · 10,054,240

Sums & aliquot sequence

As consecutive integers: 143,629 + 143,630 + … + 143,635 31,404 + 31,405 + … + 31,435 21,369 + 21,370 + … + 21,415 5,169 + 5,170 + … + 5,359

Aliquot sequence: 1,005,424 → 1,280,144 → 1,331,296 → 1,289,756 → 1,285,684 → 974,000 → 1,385,968 → 1,422,136 → 1,429,064 → 1,908,856 → 1,892,744 → 2,227,576 → 2,270,624 → 2,199,730 → 2,064,614 → 1,032,310 → 825,866 — unresolved within range

Continued fraction of √n

√1,005,424 = [1002; (1, 2, 2, 2, 1, 2004)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one million five thousand four hundred twenty-four
Ordinal: 1005424th
Binary: 11110101011101110000
Octal: 3653560
Hexadecimal: 0xF5770
Base64: D1dw
One's complement: 4,293,961,871 (32-bit)
Scientific notation: 1.005424 × 10⁶
As a duration: 1,005,424 s = 11 days, 15 hours, 17 minutes, 4 seconds

In other bases

ternary (3) 1220002011221

quaternary (4) 3311131300

quinary (5) 224133144

senary (6) 33314424

septenary (7) 11355160

nonary (9) 1802157

undecimal (11) 627432

duodecimal (12) 405a14

tridecimal (13) 292834

tetradecimal (14) 1c25a0

pentadecimal (15) 14cd84

As an angle

1,005,424° = 2,792 × 360° + 304°

304° ≈ 5.306 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬五千四百二十四
Chinese (financial): 壹佰萬伍仟肆佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٠٥٤٢٤ Devanagari १००५४२४ Bengali ১০০৫৪২৪ Tamil ௧௦௦௫௪௨௪ Thai ๑๐๐๕๔๒๔ Tibetan ༡༠༠༥༤༢༤ Khmer ១០០៥៤២៤ Lao ໑໐໐໕໔໒໔ Burmese ၁၀၀၅၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005424, here are decompositions:

11 + 1005413 = 1005424
53 + 1005371 = 1005424
107 + 1005317 = 1005424
131 + 1005293 = 1005424
137 + 1005287 = 1005424
263 + 1005161 = 1005424
281 + 1005143 = 1005424
293 + 1005131 = 1005424

Showing the first eight; more decompositions exist.

Hex color

#0F5770

RGB(15, 87, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.112.

Address: 0.15.87.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.87.112

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 1,005,424 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 US1,005,424 on Google Patents ↗ Look up on USPTO ↗