Live analysis

1,003,940

1,003,940 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.).

1,003,940 (one million three thousand nine hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 71 × 101. Its proper divisors sum to 1,463,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51A4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,928 1,003,929 1,003,930 1,003,931 1,003,932 1,003,933 1,003,934 1,003,935 1,003,936 1,003,937 1,003,938 1,003,939 1,003,940 1,003,941 1,003,942 1,003,943 1,003,944 1,003,945 1,003,946 1,003,947 1,003,948 1,003,949 1,003,950 1,003,951 1,003,952

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 493,001
Square (n²): 1,007,895,523,600
Cube (n³): 1,011,866,631,962,984,000
Divisor count: 48
σ(n) — sum of divisors: 2,467,584
φ(n) — Euler's totient: 336,000
Sum of prime factors: 188

Primality

Prime factorization: 2 ² × 5 × 7 × 71 × 101

Nearest primes: 1,003,931 (−9) · 1,003,943 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 · 71 · 101 · 140 · 142 · 202 · 284 · 355 · 404 · 497 · 505 · 707 · 710 · 994 · 1010 · 1414 · 1420 · 1988 · 2020 · 2485 · 2828 · 3535 · 4970 · 7070 · 7171 · 9940 · 14140 · 14342 · 28684 · 35855 · 50197 · 71710 · 100394 · 143420 · 200788 · 250985 · 501970 (half) · 1003940

Aliquot sum (sum of proper divisors): 1,463,644

Factor pairs (a × b = 1,003,940)

1 × 1003940

2 × 501970

4 × 250985

5 × 200788

7 × 143420

10 × 100394

14 × 71710

20 × 50197

28 × 35855

35 × 28684

70 × 14342

71 × 14140

101 × 9940

140 × 7171

142 × 7070

202 × 4970

284 × 3535

355 × 2828

404 × 2485

497 × 2020

505 × 1988

707 × 1420

710 × 1414

994 × 1010

First multiples

1,003,940 · 2,007,880 (double) · 3,011,820 · 4,015,760 · 5,019,700 · 6,023,640 · 7,027,580 · 8,031,520 · 9,035,460 · 10,039,400

Sums & aliquot sequence

As consecutive integers: 200,786 + 200,787 + 200,788 + 200,789 + 200,790 143,417 + 143,418 + … + 143,423 125,489 + 125,490 + … + 125,496 28,667 + 28,668 + … + 28,701

Aliquot sequence: 1,003,940 → 1,463,644 → 1,689,604 → 1,689,660 → 4,408,740 → 10,879,260 → 23,935,716 → 48,267,324 → 91,172,340 → 230,566,896 → 506,884,416 → 834,247,776 → 1,363,462,368 → 2,215,626,600 → 5,696,009,880 → 12,945,481,320 — keeps growing

Continued fraction of √n

√1,003,940 = [1001; (1, 30, 3, 4, 1, 7, 64, 1, 1, 16, 17, 2, 1, 2, 1, 5, 1, 1, 1, 1, 2, 3, 2, 2, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: one million three thousand nine hundred forty
Ordinal: 1003940th
Binary: 11110101000110100100
Octal: 3650644
Hexadecimal: 0xF51A4
Base64: D1Gk
One's complement: 4,293,963,355 (32-bit)
Scientific notation: 1.00394 × 10⁶
As a duration: 1,003,940 s = 11 days, 14 hours, 52 minutes, 20 seconds

In other bases

ternary (3) 1220000010222

quaternary (4) 3311012210

quinary (5) 224111230

senary (6) 33303512

septenary (7) 11350640

nonary (9) 1800128

undecimal (11) 626303

duodecimal (12) 404b98

tridecimal (13) 291c62

tetradecimal (14) 1c1c20

pentadecimal (15) 14c6e5

As an angle

1,003,940° = 2,788 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬三千九百四十
Chinese (financial): 壹佰萬參仟玖佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٣٩٤٠ Devanagari १००३९४० Bengali ১০০৩৯৪০ Tamil ௧௦௦௩௯௪௦ Thai ๑๐๐๓๙๔๐ Tibetan ༡༠༠༣༩༤༠ Khmer ១០០៣៩៤០ Lao ໑໐໐໓໙໔໐ Burmese ၁၀၀၃၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003940, here are decompositions:

31 + 1003909 = 1003940
43 + 1003897 = 1003940
61 + 1003879 = 1003940
193 + 1003747 = 1003940
199 + 1003741 = 1003940
211 + 1003729 = 1003940
229 + 1003711 = 1003940
313 + 1003627 = 1003940

Showing the first eight; more decompositions exist.

Hex color

#0F51A4

RGB(15, 81, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.164.

Address: 0.15.81.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.164

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 1,003,940 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 US1,003,940 on Google Patents ↗ Look up on USPTO ↗