Live analysis

1,004,240

1,004,240 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.).

1,004,240 (one million four thousand two hundred forty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 12,553. Its proper divisors sum to 1,330,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF52D0.

Abundant Number Evil Number Gapful Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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 1,004,237 1,004,238 1,004,239 1,004,240 1,004,241 1,004,242 1,004,243 1,004,244 1,004,245 1,004,246 1,004,247 1,004,248 1,004,249 1,004,250 1,004,251 1,004,252

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 424,001
Square (n²): 1,008,497,977,600
Cube (n³): 1,012,774,009,025,024,000
Divisor count: 20
σ(n) — sum of divisors: 2,335,044
φ(n) — Euler's totient: 401,664
Sum of prime factors: 12,566

Primality

Prime factorization: 2 ⁴ × 5 × 12553

Nearest primes: 1,004,233 (−7) · 1,004,273 (+33)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 12553 · 25106 · 50212 · 62765 · 100424 · 125530 · 200848 · 251060 · 502120 (half) · 1004240

Aliquot sum (sum of proper divisors): 1,330,804

Factor pairs (a × b = 1,004,240)

1 × 1004240

2 × 502120

4 × 251060

5 × 200848

8 × 125530

10 × 100424

16 × 62765

20 × 50212

40 × 25106

80 × 12553

First multiples

1,004,240 · 2,008,480 (double) · 3,012,720 · 4,016,960 · 5,021,200 · 6,025,440 · 7,029,680 · 8,033,920 · 9,038,160 · 10,042,400

Sums & aliquot sequence

As a sum of two squares: 424² + 908² = 472² + 884²

As consecutive integers: 200,846 + 200,847 + 200,848 + 200,849 + 200,850 31,367 + 31,368 + … + 31,398 6,197 + 6,198 + … + 6,356

Aliquot sequence: 1,004,240 → 1,330,804 → 1,037,996 → 778,504 → 745,016 → 712,984 → 623,876 → 577,114 → 297,434 → 152,614 → 133,082 → 66,544 → 62,416 → 62,576 → 58,696 → 70,904 → 62,056 — unresolved within range

Continued fraction of √n

√1,004,240 = [1002; (8, 2, 30, 1, 5, 2, 10, 31, 4, 1, 1, 7, 125, 7, 1, 1, 4, 31, 10, 2, 5, 1, 30, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million four thousand two hundred forty
Ordinal: 1004240th
Binary: 11110101001011010000
Octal: 3651320
Hexadecimal: 0xF52D0
Base64: D1LQ
One's complement: 4,293,963,055 (32-bit)
Scientific notation: 1.00424 × 10⁶
As a duration: 1,004,240 s = 11 days, 14 hours, 57 minutes, 20 seconds

In other bases

ternary (3) 1220000120002

quaternary (4) 3311023100

quinary (5) 224113430

senary (6) 33305132

septenary (7) 11351546

nonary (9) 1800502

undecimal (11) 626556

duodecimal (12) 4051a8

tridecimal (13) 292133

tetradecimal (14) 1c1d96

pentadecimal (15) 14c845

As an angle

1,004,240° = 2,789 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬四千二百四十
Chinese (financial): 壹佰萬肆仟貳佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٤٢٤٠ Devanagari १००४२४० Bengali ১০০৪২৪০ Tamil ௧௦௦௪௨௪௦ Thai ๑๐๐๔๒๔๐ Tibetan ༡༠༠༤༢༤༠ Khmer ១០០៤២៤០ Lao ໑໐໐໔໒໔໐ Burmese ၁၀၀၄၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004240, here are decompositions:

7 + 1004233 = 1004240
19 + 1004221 = 1004240
31 + 1004209 = 1004240
73 + 1004167 = 1004240
79 + 1004161 = 1004240
103 + 1004137 = 1004240
151 + 1004089 = 1004240
163 + 1004077 = 1004240

Showing the first eight; more decompositions exist.

Hex color

#0F52D0

RGB(15, 82, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.208.

Address: 0.15.82.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.208

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 1,004,240 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 US1,004,240 on Google Patents ↗ Look up on USPTO ↗