Live analysis

1,004,440

1,004,440 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.).

1,004,440 (one million four thousand four hundred forty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 25,111. Its proper divisors sum to 1,255,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5398.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,428 1,004,429 1,004,430 1,004,431 1,004,432 1,004,433 1,004,434 1,004,435 1,004,436 1,004,437 1,004,438 1,004,439 1,004,440 1,004,441 1,004,442 1,004,443 1,004,444 1,004,445 1,004,446 1,004,447 1,004,448 1,004,449 1,004,450 1,004,451 1,004,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 444,001
Square (n²): 1,008,899,713,600
Cube (n³): 1,013,379,228,328,384,000
Divisor count: 16
σ(n) — sum of divisors: 2,260,080
φ(n) — Euler's totient: 401,760
Sum of prime factors: 25,122

Primality

Prime factorization: 2 ³ × 5 × 25111

Nearest primes: 1,004,429 (−11) · 1,004,441 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 25111 · 50222 · 100444 · 125555 · 200888 · 251110 · 502220 (half) · 1004440

Aliquot sum (sum of proper divisors): 1,255,640

Factor pairs (a × b = 1,004,440)

1 × 1004440

2 × 502220

4 × 251110

5 × 200888

8 × 125555

10 × 100444

20 × 50222

40 × 25111

First multiples

1,004,440 · 2,008,880 (double) · 3,013,320 · 4,017,760 · 5,022,200 · 6,026,640 · 7,031,080 · 8,035,520 · 9,039,960 · 10,044,400

Sums & aliquot sequence

As consecutive integers: 200,886 + 200,887 + 200,888 + 200,889 + 200,890 62,770 + 62,771 + … + 62,785 12,516 + 12,517 + … + 12,595

Aliquot sequence: 1,004,440 → 1,255,640 → 1,569,640 → 1,962,140 → 2,573,860 → 2,831,288 → 2,477,392 → 2,396,304 → 4,704,339 → 1,654,333 → 5,247 → 3,177 → 1,425 → 1,055 → 217 → 39 → 17 — unresolved within range

Continued fraction of √n

√1,004,440 = [1002; (4, 1, 1, 2, 12, 4, 1, 1, 1, 4, 1, 10, 83, 2, 2, 1, 6, 2, 7, 1, 11, 1, 2, 1, …)]

Representations

In words: one million four thousand four hundred forty
Ordinal: 1004440th
Binary: 11110101001110011000
Octal: 3651630
Hexadecimal: 0xF5398
Base64: D1OY
One's complement: 4,293,962,855 (32-bit)
Scientific notation: 1.00444 × 10⁶
As a duration: 1,004,440 s = 11 days, 15 hours, 40 seconds

In other bases

ternary (3) 1220000211111

quaternary (4) 3311032120

quinary (5) 224120230

senary (6) 33310104

septenary (7) 11352253

nonary (9) 1800744

undecimal (11) 626718

duodecimal (12) 405334

tridecimal (13) 292258

tetradecimal (14) 1c209a

pentadecimal (15) 14c92a

As an angle

1,004,440° = 2,790 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬四千四百四十
Chinese (financial): 壹佰萬肆仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٤٤٤٠ Devanagari १००४४४० Bengali ১০০৪৪৪০ Tamil ௧௦௦௪௪௪௦ Thai ๑๐๐๔๔๔๐ Tibetan ༡༠༠༤༤༤༠ Khmer ១០០៤៤៤០ Lao ໑໐໐໔໔໔໐ Burmese ၁၀၀၄၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004440, here are decompositions:

11 + 1004429 = 1004440
137 + 1004303 = 1004440
167 + 1004273 = 1004440
383 + 1004057 = 1004440
509 + 1003931 = 1004440
599 + 1003841 = 1004440
653 + 1003787 = 1004440
677 + 1003763 = 1004440

Showing the first eight; more decompositions exist.

Hex color

#0F5398

RGB(15, 83, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.152.

Address: 0.15.83.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.152

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 1,004,440 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 US1,004,440 on Google Patents ↗ Look up on USPTO ↗