Live analysis

1,003,800

1,003,800 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.).

1,003,800 (one million three thousand eight hundred) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 7 × 239. Its proper divisors sum to 2,567,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5118.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,788 1,003,789 1,003,790 1,003,791 1,003,792 1,003,793 1,003,794 1,003,795 1,003,796 1,003,797 1,003,798 1,003,799 1,003,800 1,003,801 1,003,802 1,003,803 1,003,804 1,003,805 1,003,806 1,003,807 1,003,808 1,003,809 1,003,810 1,003,811 1,003,812

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 83,001
Square (n²): 1,007,614,440,000
Cube (n³): 1,011,443,374,872,000,000
Divisor count: 96
σ(n) — sum of divisors: 3,571,200
φ(n) — Euler's totient: 228,480
Sum of prime factors: 265

Primality

Prime factorization: 2 ³ × 3 × 5 ² × 7 × 239

Nearest primes: 1,003,787 (−13) · 1,003,817 (+17)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 50 · 56 · 60 · 70 · 75 · 84 · 100 · 105 · 120 · 140 · 150 · 168 · 175 · 200 · 210 · 239 · 280 · 300 · 350 · 420 · 478 · 525 · 600 · 700 · 717 · 840 · 956 · 1050 · 1195 · 1400 · 1434 · 1673 · 1912 · 2100 · 2390 · 2868 · 3346 · 3585 · 4200 · 4780 · 5019 · 5736 · 5975 · 6692 · 7170 · 8365 · 9560 · 10038 · 11950 · 13384 · 14340 · 16730 · 17925 · 20076 · 23900 · 25095 · 28680 · 33460 · 35850 · 40152 · 41825 · 47800 · 50190 · 66920 · 71700 · 83650 · 100380 · 125475 · 143400 · 167300 · 200760 · 250950 · 334600 · 501900 (half) · 1003800

Aliquot sum (sum of proper divisors): 2,567,400

Factor pairs (a × b = 1,003,800)

1 × 1003800

2 × 501900

3 × 334600

4 × 250950

5 × 200760

6 × 167300

7 × 143400

8 × 125475

10 × 100380

12 × 83650

14 × 71700

15 × 66920

20 × 50190

21 × 47800

24 × 41825

25 × 40152

28 × 35850

30 × 33460

35 × 28680

40 × 25095

42 × 23900

50 × 20076

56 × 17925

60 × 16730

70 × 14340

75 × 13384

84 × 11950

100 × 10038

105 × 9560

120 × 8365

140 × 7170

150 × 6692

168 × 5975

175 × 5736

200 × 5019

210 × 4780

239 × 4200

280 × 3585

300 × 3346

350 × 2868

420 × 2390

478 × 2100

525 × 1912

600 × 1673

700 × 1434

717 × 1400

840 × 1195

956 × 1050

First multiples

1,003,800 · 2,007,600 (double) · 3,011,400 · 4,015,200 · 5,019,000 · 6,022,800 · 7,026,600 · 8,030,400 · 9,034,200 · 10,038,000

Sums & aliquot sequence

As consecutive integers: 334,599 + 334,600 + 334,601 200,758 + 200,759 + 200,760 + 200,761 + 200,762 143,397 + 143,398 + … + 143,403 66,913 + 66,914 + … + 66,927

Aliquot sequence: 1,003,800 → 2,567,400 → 6,137,400 → 13,347,960 → 27,687,720 → 55,904,280 → 113,474,280 → 231,080,280 → 515,934,120 → 1,161,982,680 → 2,323,965,720 → 4,651,106,280 → 9,302,212,920 → 31,794,258,120 — keeps growing

Continued fraction of √n

√1,003,800 = [1001; (1, 8, 1, 4, 1, 1, 1, 6, 3, 2, 17, 1, 1, 1, 1, 1, 3, 79, 1, 7, 16, 1, 2, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one million three thousand eight hundred
Ordinal: 1003800th
Binary: 11110101000100011000
Octal: 3650430
Hexadecimal: 0xF5118
Base64: D1EY
One's complement: 4,293,963,495 (32-bit)
Scientific notation: 1.0038 × 10⁶
As a duration: 1,003,800 s = 11 days, 14 hours, 50 minutes

In other bases

ternary (3) 1212222221210

quaternary (4) 3311010120

quinary (5) 224110200

senary (6) 33303120

septenary (7) 11350350

nonary (9) 1788853

undecimal (11) 626196

duodecimal (12) 404aa0

tridecimal (13) 291b85

tetradecimal (14) 1c1b60

pentadecimal (15) 14c650

As an angle

1,003,800° = 2,788 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬三千八百
Chinese (financial): 壹佰萬參仟捌佰

In other modern scripts

Eastern Arabic ١٠٠٣٨٠٠ Devanagari १००३८०० Bengali ১০০৩৮০০ Tamil ௧௦௦௩௮௦௦ Thai ๑๐๐๓๘๐๐ Tibetan ༡༠༠༣༨༠༠ Khmer ១០០៣៨០០ Lao ໑໐໐໓໘໐໐ Burmese ၁၀၀၃၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003800, here are decompositions:

13 + 1003787 = 1003800
29 + 1003771 = 1003800
37 + 1003763 = 1003800
43 + 1003757 = 1003800
47 + 1003753 = 1003800
53 + 1003747 = 1003800
59 + 1003741 = 1003800
67 + 1003733 = 1003800

Showing the first eight; more decompositions exist.

Hex color

#0F5118

RGB(15, 81, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.24.

Address: 0.15.81.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.24

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 1,003,800 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 US1,003,800 on Google Patents ↗ Look up on USPTO ↗