Live analysis

1,003,140

1,003,140 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.).

1,003,140 (one million three thousand one hundred forty) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 5,573. Its proper divisors sum to 2,040,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4E84.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,003,128 1,003,129 1,003,130 1,003,131 1,003,132 1,003,133 1,003,134 1,003,135 1,003,136 1,003,137 1,003,138 1,003,139 1,003,140 1,003,141 1,003,142 1,003,143 1,003,144 1,003,145 1,003,146 1,003,147 1,003,148 1,003,149 1,003,150 1,003,151 1,003,152

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 413,001
Square (n²): 1,006,289,859,600
Cube (n³): 1,009,449,609,759,144,000
Divisor count: 36
σ(n) — sum of divisors: 3,043,404
φ(n) — Euler's totient: 267,456
Sum of prime factors: 5,588

Primality

Prime factorization: 2 ² × 3 ² × 5 × 5573

Nearest primes: 1,003,133 (−7) · 1,003,141 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 5573 · 11146 · 16719 · 22292 · 27865 · 33438 · 50157 · 55730 · 66876 · 83595 · 100314 · 111460 · 167190 · 200628 · 250785 · 334380 · 501570 (half) · 1003140

Aliquot sum (sum of proper divisors): 2,040,264

Factor pairs (a × b = 1,003,140)

1 × 1003140

2 × 501570

3 × 334380

4 × 250785

5 × 200628

6 × 167190

9 × 111460

10 × 100314

12 × 83595

15 × 66876

18 × 55730

20 × 50157

30 × 33438

36 × 27865

45 × 22292

60 × 16719

90 × 11146

180 × 5573

First multiples

1,003,140 · 2,006,280 (double) · 3,009,420 · 4,012,560 · 5,015,700 · 6,018,840 · 7,021,980 · 8,025,120 · 9,028,260 · 10,031,400

Sums & aliquot sequence

As a sum of two squares: 216² + 978² = 414² + 912²

As consecutive integers: 334,379 + 334,380 + 334,381 200,626 + 200,627 + 200,628 + 200,629 + 200,630 125,389 + 125,390 + … + 125,396 111,456 + 111,457 + … + 111,464

Aliquot sequence: 1,003,140 → 2,040,264 → 3,622,536 → 6,783,864 → 10,175,856 → 16,111,896 → 24,401,304 → 43,876,296 → 79,762,104 → 141,799,896 → 323,304,744 → 657,879,576 → 987,652,584 → 1,708,326,936 → 3,357,991,464 → 5,042,123,256 → 7,882,210,824 — unresolved within range

Continued fraction of √n

√1,003,140 = [1001; (1, 1, 3, 7, 2, 1, 1, 3, 11, 2, 3, 2, 2, 3, 3, 2, 1, 11, 1, 4, 1, 1, 1, 2, …)]

Representations

In words: one million three thousand one hundred forty
Ordinal: 1003140th
Binary: 11110100111010000100
Octal: 3647204
Hexadecimal: 0xF4E84
Base64: D06E
One's complement: 4,293,964,155 (32-bit)
Scientific notation: 1.00314 × 10⁶
As a duration: 1,003,140 s = 11 days, 14 hours, 39 minutes

In other bases

ternary (3) 1212222001100

quaternary (4) 3310322010

quinary (5) 224100030

senary (6) 33300100

septenary (7) 11345415

nonary (9) 1788040

undecimal (11) 625746

duodecimal (12) 404630

tridecimal (13) 291798

tetradecimal (14) 1c180c

pentadecimal (15) 14c360

As an angle

1,003,140° = 2,786 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬三千一百四十
Chinese (financial): 壹佰萬參仟壹佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٣١٤٠ Devanagari १००३१४० Bengali ১০০৩১৪০ Tamil ௧௦௦௩௧௪௦ Thai ๑๐๐๓๑๔๐ Tibetan ༡༠༠༣༡༤༠ Khmer ១០០៣១៤០ Lao ໑໐໐໓໑໔໐ Burmese ၁၀၀၃၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003140, here are decompositions:

7 + 1003133 = 1003140
29 + 1003111 = 1003140
31 + 1003109 = 1003140
37 + 1003103 = 1003140
43 + 1003097 = 1003140
53 + 1003087 = 1003140
101 + 1003039 = 1003140
137 + 1003003 = 1003140

Showing the first eight; more decompositions exist.

Hex color

#0F4E84

RGB(15, 78, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.132.

Address: 0.15.78.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.132

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 1,003,140 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 US1,003,140 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1003140 first appears in π at position 398,921 of the decimal expansion (the 398,921ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1003140 on Pi Search ↗