Live analysis

1,004,380

1,004,380 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.).

1,004,380 (one million four thousand three hundred eighty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 3,863. Its proper divisors sum to 1,267,652, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF535C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,368 1,004,369 1,004,370 1,004,371 1,004,372 1,004,373 1,004,374 1,004,375 1,004,376 1,004,377 1,004,378 1,004,379 1,004,380 1,004,381 1,004,382 1,004,383 1,004,384 1,004,385 1,004,386 1,004,387 1,004,388 1,004,389 1,004,390 1,004,391 1,004,392

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 834,001
Square (n²): 1,008,779,184,400
Cube (n³): 1,013,197,637,227,672,000
Divisor count: 24
σ(n) — sum of divisors: 2,272,032
φ(n) — Euler's totient: 370,752
Sum of prime factors: 3,885

Primality

Prime factorization: 2 ² × 5 × 13 × 3863

Nearest primes: 1,004,371 (−9) · 1,004,401 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 65 · 130 · 260 · 3863 · 7726 · 15452 · 19315 · 38630 · 50219 · 77260 · 100438 · 200876 · 251095 · 502190 (half) · 1004380

Aliquot sum (sum of proper divisors): 1,267,652

Factor pairs (a × b = 1,004,380)

1 × 1004380

2 × 502190

4 × 251095

5 × 200876

10 × 100438

13 × 77260

20 × 50219

26 × 38630

52 × 19315

65 × 15452

130 × 7726

260 × 3863

First multiples

1,004,380 · 2,008,760 (double) · 3,013,140 · 4,017,520 · 5,021,900 · 6,026,280 · 7,030,660 · 8,035,040 · 9,039,420 · 10,043,800

Sums & aliquot sequence

As consecutive integers: 200,874 + 200,875 + 200,876 + 200,877 + 200,878 125,544 + 125,545 + … + 125,551 77,254 + 77,255 + … + 77,266 25,090 + 25,091 + … + 25,129

Aliquot sequence: 1,004,380 → 1,267,652 → 1,022,524 → 785,324 → 589,000 → 908,600 → 1,769,800 → 2,345,450 → 2,094,370 → 1,954,910 → 1,749,490 → 1,425,062 → 712,534 → 368,546 → 184,276 → 152,396 → 123,124 — unresolved within range

Continued fraction of √n

√1,004,380 = [1002; (5, 3, 36, 7, 1, 1, 1, 6, 1, 15, 1, 2, 3, 2, 16, 3, 1, 2, 1, 2, 9, 7, 2, 16, …)]

Representations

In words: one million four thousand three hundred eighty
Ordinal: 1004380th
Binary: 11110101001101011100
Octal: 3651534
Hexadecimal: 0xF535C
Base64: D1Nc
One's complement: 4,293,962,915 (32-bit)
Scientific notation: 1.00438 × 10⁶
As a duration: 1,004,380 s = 11 days, 14 hours, 59 minutes, 40 seconds

In other bases

ternary (3) 1220000202021

quaternary (4) 3311031130

quinary (5) 224120010

senary (6) 33305524

septenary (7) 11352136

nonary (9) 1800667

undecimal (11) 626673

duodecimal (12) 4052a4

tridecimal (13) 292210

tetradecimal (14) 1c2056

pentadecimal (15) 14c8da

As an angle

1,004,380° = 2,789 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千三百八十
Chinese (financial): 壹佰萬肆仟參佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٤٣٨٠ Devanagari १००४३८० Bengali ১০০৪৩৮০ Tamil ௧௦௦௪௩௮௦ Thai ๑๐๐๔๓๘๐ Tibetan ༡༠༠༤༣༨༠ Khmer ១០០៤៣៨០ Lao ໑໐໐໔໓໘໐ Burmese ၁၀၀၄၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004380, here are decompositions:

17 + 1004363 = 1004380
101 + 1004279 = 1004380
107 + 1004273 = 1004380
239 + 1004141 = 1004380
263 + 1004117 = 1004380
317 + 1004063 = 1004380
347 + 1004033 = 1004380
353 + 1004027 = 1004380

Showing the first eight; more decompositions exist.

Hex color

#0F535C

RGB(15, 83, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.92.

Address: 0.15.83.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.92

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 1,004,380 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 US1,004,380 on Google Patents ↗ Look up on USPTO ↗