Live analysis

1,003,920

1,003,920 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.).

1,003,920 (one million three thousand nine hundred twenty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 47 × 89. Its proper divisors sum to 2,210,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5190.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,003,908 1,003,909 1,003,910 1,003,911 1,003,912 1,003,913 1,003,914 1,003,915 1,003,916 1,003,917 1,003,918 1,003,919 1,003,920 1,003,921 1,003,922 1,003,923 1,003,924 1,003,925 1,003,926 1,003,927 1,003,928 1,003,929 1,003,930 1,003,931 1,003,932

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 293,001
Square (n²): 1,007,855,366,400
Cube (n³): 1,011,806,159,436,288,000
Divisor count: 80
σ(n) — sum of divisors: 3,214,080
φ(n) — Euler's totient: 259,072
Sum of prime factors: 152

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 47 × 89

Nearest primes: 1,003,913 (−7) · 1,003,931 (+11)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 47 · 48 · 60 · 80 · 89 · 94 · 120 · 141 · 178 · 188 · 235 · 240 · 267 · 282 · 356 · 376 · 445 · 470 · 534 · 564 · 705 · 712 · 752 · 890 · 940 · 1068 · 1128 · 1335 · 1410 · 1424 · 1780 · 1880 · 2136 · 2256 · 2670 · 2820 · 3560 · 3760 · 4183 · 4272 · 5340 · 5640 · 7120 · 8366 · 10680 · 11280 · 12549 · 16732 · 20915 · 21360 · 25098 · 33464 · 41830 · 50196 · 62745 · 66928 · 83660 · 100392 · 125490 · 167320 · 200784 · 250980 · 334640 · 501960 (half) · 1003920

Aliquot sum (sum of proper divisors): 2,210,160

Factor pairs (a × b = 1,003,920)

1 × 1003920

2 × 501960

3 × 334640

4 × 250980

5 × 200784

6 × 167320

8 × 125490

10 × 100392

12 × 83660

15 × 66928

16 × 62745

20 × 50196

24 × 41830

30 × 33464

40 × 25098

47 × 21360

48 × 20915

60 × 16732

80 × 12549

89 × 11280

94 × 10680

120 × 8366

141 × 7120

178 × 5640

188 × 5340

235 × 4272

240 × 4183

267 × 3760

282 × 3560

356 × 2820

376 × 2670

445 × 2256

470 × 2136

534 × 1880

564 × 1780

705 × 1424

712 × 1410

752 × 1335

890 × 1128

940 × 1068

First multiples

1,003,920 · 2,007,840 (double) · 3,011,760 · 4,015,680 · 5,019,600 · 6,023,520 · 7,027,440 · 8,031,360 · 9,035,280 · 10,039,200

Sums & aliquot sequence

As consecutive integers: 334,639 + 334,640 + 334,641 200,782 + 200,783 + 200,784 + 200,785 + 200,786 66,921 + 66,922 + … + 66,935 31,357 + 31,358 + … + 31,388

Aliquot sequence: 1,003,920 → 2,210,160 → 4,642,080 → 10,780,320 → 24,152,928 → 40,734,048 → 66,193,080 → 148,424,520 → 316,217,400 → 667,491,960 → 1,334,984,280 → 3,254,238,120 → 7,903,152,600 → 21,903,273,000 — keeps growing

Continued fraction of √n

√1,003,920 = [1001; (1, 22, 1, 5, 1, 40, 25, 40, 1, 5, 1, 22, 1, 2002)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million three thousand nine hundred twenty
Ordinal: 1003920th
Binary: 11110101000110010000
Octal: 3650620
Hexadecimal: 0xF5190
Base64: D1GQ
One's complement: 4,293,963,375 (32-bit)
Scientific notation: 1.00392 × 10⁶
As a duration: 1,003,920 s = 11 days, 14 hours, 52 minutes

In other bases

ternary (3) 1220000010020

quaternary (4) 3311012100

quinary (5) 224111140

senary (6) 33303440

septenary (7) 11350611

nonary (9) 1800106

undecimal (11) 626295

duodecimal (12) 404b80

tridecimal (13) 291c48

tetradecimal (14) 1c1c08

pentadecimal (15) 14c6d0

As an angle

1,003,920° = 2,788 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬三千九百二十
Chinese (financial): 壹佰萬參仟玖佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٣٩٢٠ Devanagari १००३९२० Bengali ১০০৩৯২০ Tamil ௧௦௦௩௯௨௦ Thai ๑๐๐๓๙๒๐ Tibetan ༡༠༠༣༩༢༠ Khmer ១០០៣៩២០ Lao ໑໐໐໓໙໒໐ Burmese ၁၀၀၃၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003920, here are decompositions:

7 + 1003913 = 1003920
11 + 1003909 = 1003920
13 + 1003907 = 1003920
23 + 1003897 = 1003920
31 + 1003889 = 1003920
41 + 1003879 = 1003920
79 + 1003841 = 1003920
101 + 1003819 = 1003920

Showing the first eight; more decompositions exist.

Hex color

#0F5190

RGB(15, 81, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.144.

Address: 0.15.81.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.144

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 1,003,920 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 US1,003,920 on Google Patents ↗ Look up on USPTO ↗