Live analysis

1,003,104

1,003,104 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.).

1,003,104 (one million three thousand one hundred four) is an even 7-digit number. It is a composite number with 84 divisors, and factors as 2⁵ × 3⁶ × 43. Its proper divisors sum to 2,026,692, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4E60.

Abundant Number Arithmetic Number Evil Number Frugal Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,092 1,003,093 1,003,094 1,003,095 1,003,096 1,003,097 1,003,098 1,003,099 1,003,100 1,003,101 1,003,102 1,003,103 1,003,104 1,003,105 1,003,106 1,003,107 1,003,108 1,003,109 1,003,110 1,003,111 1,003,112 1,003,113 1,003,114 1,003,115 1,003,116

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,013,001
Square (n²): 1,006,217,634,816
Cube (n³): 1,009,340,934,354,468,864
Divisor count: 84
σ(n) — sum of divisors: 3,029,796
φ(n) — Euler's totient: 326,592
Sum of prime factors: 71

Primality

Prime factorization: 2 ⁵ × 3 ⁶ × 43

Nearest primes: 1,003,103 (−1) · 1,003,109 (+5)

Divisors & multiples

All divisors (84)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 43 · 48 · 54 · 72 · 81 · 86 · 96 · 108 · 129 · 144 · 162 · 172 · 216 · 243 · 258 · 288 · 324 · 344 · 387 · 432 · 486 · 516 · 648 · 688 · 729 · 774 · 864 · 972 · 1032 · 1161 · 1296 · 1376 · 1458 · 1548 · 1944 · 2064 · 2322 · 2592 · 2916 · 3096 · 3483 · 3888 · 4128 · 4644 · 5832 · 6192 · 6966 · 7776 · 9288 · 10449 · 11664 · 12384 · 13932 · 18576 · 20898 · 23328 · 27864 · 31347 · 37152 · 41796 · 55728 · 62694 · 83592 · 111456 · 125388 · 167184 · 250776 · 334368 · 501552 (half) · 1003104

Aliquot sum (sum of proper divisors): 2,026,692

Factor pairs (a × b = 1,003,104)

1 × 1003104

2 × 501552

3 × 334368

4 × 250776

6 × 167184

8 × 125388

9 × 111456

12 × 83592

16 × 62694

18 × 55728

24 × 41796

27 × 37152

32 × 31347

36 × 27864

43 × 23328

48 × 20898

54 × 18576

72 × 13932

81 × 12384

86 × 11664

96 × 10449

108 × 9288

129 × 7776

144 × 6966

162 × 6192

172 × 5832

216 × 4644

243 × 4128

258 × 3888

288 × 3483

324 × 3096

344 × 2916

387 × 2592

432 × 2322

486 × 2064

516 × 1944

648 × 1548

688 × 1458

729 × 1376

774 × 1296

864 × 1161

972 × 1032

First multiples

1,003,104 · 2,006,208 (double) · 3,009,312 · 4,012,416 · 5,015,520 · 6,018,624 · 7,021,728 · 8,024,832 · 9,027,936 · 10,031,040

Sums & aliquot sequence

As consecutive integers: 334,367 + 334,368 + 334,369 111,452 + 111,453 + … + 111,460 37,139 + 37,140 + … + 37,165 23,307 + 23,308 + … + 23,349

Aliquot sequence: 1,003,104 → 2,026,692 → 3,367,788 → 4,904,532 → 7,493,126 → 3,746,566 → 1,873,286 → 1,084,594 → 774,734 → 396,634 → 300,902 → 214,954 → 117,974 → 62,074 → 33,434 → 17,626 → 12,614 — unresolved within range

Continued fraction of √n

√1,003,104 = [1001; (1, 1, 4, 2, 2, 1, 2, 5, 1, 4, 2, 1, 3, 1, 1, 11, 1, 23, 1, 4, 4, 8, 1, 1, …)]

Representations

In words: one million three thousand one hundred four
Ordinal: 1003104th
Binary: 11110100111001100000
Octal: 3647140
Hexadecimal: 0xF4E60
Base64: D05g
One's complement: 4,293,964,191 (32-bit)
Scientific notation: 1.003104 × 10⁶
As a duration: 1,003,104 s = 11 days, 14 hours, 38 minutes, 24 seconds

In other bases

ternary (3) 1212222000000

quaternary (4) 3310321200

quinary (5) 224044404

senary (6) 33300000

septenary (7) 11345334

nonary (9) 1788000

undecimal (11) 625713

duodecimal (12) 404600

tridecimal (13) 29176b

tetradecimal (14) 1c17c4

pentadecimal (15) 14c339

As an angle

1,003,104° = 2,786 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬三千一百零四
Chinese (financial): 壹佰萬參仟壹佰零肆

In other modern scripts

Eastern Arabic ١٠٠٣١٠٤ Devanagari १००३१०४ Bengali ১০০৩১০৪ Tamil ௧௦௦௩௧௦௪ Thai ๑๐๐๓๑๐๔ Tibetan ༡༠༠༣༡༠༤ Khmer ១០០៣១០៤ Lao ໑໐໐໓໑໐໔ Burmese ၁၀၀၃၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003104, here are decompositions:

7 + 1003097 = 1003104
13 + 1003091 = 1003104
17 + 1003087 = 1003104
101 + 1003003 = 1003104
103 + 1003001 = 1003104
131 + 1002973 = 1003104
173 + 1002931 = 1003104
191 + 1002913 = 1003104

Showing the first eight; more decompositions exist.

Hex color

#0F4E60

RGB(15, 78, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.96.

Address: 0.15.78.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.96

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 1,003,104 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 US1,003,104 on Google Patents ↗ Look up on USPTO ↗