Live analysis

1,004,800

1,004,800 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.).

1,004,800 (one million four thousand eight hundred) is an even 7-digit number. It is a composite number with 54 divisors, and factors as 2⁸ × 5² × 157. Its proper divisors sum to 1,498,078, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5500.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,788 1,004,789 1,004,790 1,004,791 1,004,792 1,004,793 1,004,794 1,004,795 1,004,796 1,004,797 1,004,798 1,004,799 1,004,800 1,004,801 1,004,802 1,004,803 1,004,804 1,004,805 1,004,806 1,004,807 1,004,808 1,004,809 1,004,810 1,004,811 1,004,812

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 84,001
Square (n²): 1,009,623,040,000
Cube (n³): 1,014,469,230,592,000,000
Divisor count: 54
σ(n) — sum of divisors: 2,502,878
φ(n) — Euler's totient: 399,360
Sum of prime factors: 183

Primality

Prime factorization: 2 ⁸ × 5 ² × 157

Nearest primes: 1,004,797 (−3) · 1,004,873 (+73)

Divisors & multiples

All divisors (54)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 100 · 128 · 157 · 160 · 200 · 256 · 314 · 320 · 400 · 628 · 640 · 785 · 800 · 1256 · 1280 · 1570 · 1600 · 2512 · 3140 · 3200 · 3925 · 5024 · 6280 · 6400 · 7850 · 10048 · 12560 · 15700 · 20096 · 25120 · 31400 · 40192 · 50240 · 62800 · 100480 · 125600 · 200960 · 251200 · 502400 (half) · 1004800

Aliquot sum (sum of proper divisors): 1,498,078

Factor pairs (a × b = 1,004,800)

1 × 1004800

2 × 502400

4 × 251200

5 × 200960

8 × 125600

10 × 100480

16 × 62800

20 × 50240

25 × 40192

32 × 31400

40 × 25120

50 × 20096

64 × 15700

80 × 12560

100 × 10048

128 × 7850

157 × 6400

160 × 6280

200 × 5024

256 × 3925

314 × 3200

320 × 3140

400 × 2512

628 × 1600

640 × 1570

785 × 1280

800 × 1256

First multiples

1,004,800 · 2,009,600 (double) · 3,014,400 · 4,019,200 · 5,024,000 · 6,028,800 · 7,033,600 · 8,038,400 · 9,043,200 · 10,048,000

Sums & aliquot sequence

As a sum of two squares: 144² + 992² = 416² + 912² = 480² + 880²

As consecutive integers: 200,958 + 200,959 + 200,960 + 200,961 + 200,962 40,180 + 40,181 + … + 40,204 6,322 + 6,323 + … + 6,478 1,707 + 1,708 + … + 2,218

Aliquot sequence: 1,004,800 → 1,498,078 → 796,994 → 584,542 → 441,890 → 353,530 → 282,842 → 209,638 → 160,298 → 80,152 → 74,288 → 69,676 → 52,264 → 48,536 → 42,484 → 43,756 → 32,824 — unresolved within range

Continued fraction of √n

√1,004,800 = [1002; (2, 1, 1, 13, 3, 9, 1, 1, 1, 5, 1, 1, 7, 3, 2, 3, 1, 2, 1, 3, 1, 54, 1, 8, …)]

Representations

In words: one million four thousand eight hundred
Ordinal: 1004800th
Binary: 11110101010100000000
Octal: 3652400
Hexadecimal: 0xF5500
Base64: D1UA
One's complement: 4,293,962,495 (32-bit)
Scientific notation: 1.0048 × 10⁶
As a duration: 1,004,800 s = 11 days, 15 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 1220001022211

quaternary (4) 3311110000

quinary (5) 224123200

senary (6) 33311504

septenary (7) 11353306

nonary (9) 1801284

undecimal (11) 626a15

duodecimal (12) 405594

tridecimal (13) 292474

tetradecimal (14) 1c2276

pentadecimal (15) 14caba

As an angle

1,004,800° = 2,791 × 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 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬四千八百
Chinese (financial): 壹佰萬肆仟捌佰

In other modern scripts

Eastern Arabic ١٠٠٤٨٠٠ Devanagari १००४८०० Bengali ১০০৪৮০০ Tamil ௧௦௦௪௮௦௦ Thai ๑๐๐๔๘๐๐ Tibetan ༡༠༠༤༨༠༠ Khmer ១០០៤៨០០ Lao ໑໐໐໔໘໐໐ Burmese ၁၀၀၄၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004800, here are decompositions:

3 + 1004797 = 1004800
53 + 1004747 = 1004800
113 + 1004687 = 1004800
131 + 1004669 = 1004800
149 + 1004651 = 1004800
233 + 1004567 = 1004800
239 + 1004561 = 1004800
263 + 1004537 = 1004800

Showing the first eight; more decompositions exist.

Hex color

#0F5500

RGB(15, 85, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.0.

Address: 0.15.85.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.0

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 1,004,800 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 US1,004,800 on Google Patents ↗ Look up on USPTO ↗