Live analysis

1,004,320

1,004,320 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.).

1,004,320 (one million four thousand three hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 6,277. Its proper divisors sum to 1,368,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5320.

Abundant Number Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,308 1,004,309 1,004,310 1,004,311 1,004,312 1,004,313 1,004,314 1,004,315 1,004,316 1,004,317 1,004,318 1,004,319 1,004,320 1,004,321 1,004,322 1,004,323 1,004,324 1,004,325 1,004,326 1,004,327 1,004,328 1,004,329 1,004,330 1,004,331 1,004,332

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 234,001
Square (n²): 1,008,658,662,400
Cube (n³): 1,013,016,067,821,568,000
Divisor count: 24
σ(n) — sum of divisors: 2,373,084
φ(n) — Euler's totient: 401,664
Sum of prime factors: 6,292

Primality

Prime factorization: 2 ⁵ × 5 × 6277

Nearest primes: 1,004,317 (−3) · 1,004,323 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 6277 · 12554 · 25108 · 31385 · 50216 · 62770 · 100432 · 125540 · 200864 · 251080 · 502160 (half) · 1004320

Aliquot sum (sum of proper divisors): 1,368,764

Factor pairs (a × b = 1,004,320)

1 × 1004320

2 × 502160

4 × 251080

5 × 200864

8 × 125540

10 × 100432

16 × 62770

20 × 50216

32 × 31385

40 × 25108

80 × 12554

160 × 6277

First multiples

1,004,320 · 2,008,640 (double) · 3,012,960 · 4,017,280 · 5,021,600 · 6,025,920 · 7,030,240 · 8,034,560 · 9,038,880 · 10,043,200

Sums & aliquot sequence

As a sum of two squares: 244² + 972² = 388² + 924²

As consecutive integers: 200,862 + 200,863 + 200,864 + 200,865 + 200,866 15,661 + 15,662 + … + 15,724 2,979 + 2,980 + … + 3,298

Aliquot sequence: 1,004,320 → 1,368,764 → 1,026,580 → 1,129,280 → 1,560,580 → 2,261,756 → 2,261,812 → 2,261,868 → 3,770,004 → 6,563,564 → 7,336,756 → 7,336,812 → 13,262,228 → 15,055,852 → 15,055,908 → 25,393,116 → 42,322,084 — unresolved within range

Continued fraction of √n

√1,004,320 = [1002; (6, 2, 1, 11, 1, 3, 3, 1, 13, 6, 2, 222, 4, 5, 1, 5, 2, 1, 7, 1, 124, 2, 1, 1, …)]

Representations

In words: one million four thousand three hundred twenty
Ordinal: 1004320th
Binary: 11110101001100100000
Octal: 3651440
Hexadecimal: 0xF5320
Base64: D1Mg
One's complement: 4,293,962,975 (32-bit)
Scientific notation: 1.00432 × 10⁶
As a duration: 1,004,320 s = 11 days, 14 hours, 58 minutes, 40 seconds

In other bases

ternary (3) 1220000200001

quaternary (4) 3311030200

quinary (5) 224114240

senary (6) 33305344

septenary (7) 11352022

nonary (9) 1800601

undecimal (11) 626619

duodecimal (12) 405254

tridecimal (13) 292195

tetradecimal (14) 1c2012

pentadecimal (15) 14c89a

As an angle

1,004,320° = 2,789 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬四千三百二十
Chinese (financial): 壹佰萬肆仟參佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٤٣٢٠ Devanagari १००४३२० Bengali ১০০৪৩২০ Tamil ௧௦௦௪௩௨௦ Thai ๑๐๐๔๓๒๐ Tibetan ༡༠༠༤༣༢༠ Khmer ១០០៤៣២០ Lao ໑໐໐໔໓໒໐ Burmese ၁၀၀၄၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004320, here are decompositions:

3 + 1004317 = 1004320
17 + 1004303 = 1004320
41 + 1004279 = 1004320
47 + 1004273 = 1004320
179 + 1004141 = 1004320
257 + 1004063 = 1004320
263 + 1004057 = 1004320
293 + 1004027 = 1004320

Showing the first eight; more decompositions exist.

Hex color

#0F5320

RGB(15, 83, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.32.

Address: 0.15.83.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.32

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 1,004,320 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 US1,004,320 on Google Patents ↗ Look up on USPTO ↗