Live analysis

1,001,940

1,001,940 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.).

1,001,940 (one million one thousand nine hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 16,699. Its proper divisors sum to 1,803,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF49D4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,928 1,001,929 1,001,930 1,001,931 1,001,932 1,001,933 1,001,934 1,001,935 1,001,936 1,001,937 1,001,938 1,001,939 1,001,940 1,001,941 1,001,942 1,001,943 1,001,944 1,001,945 1,001,946 1,001,947 1,001,948 1,001,949 1,001,950 1,001,951 1,001,952

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 491,001
Square (n²): 1,003,883,763,600
Cube (n³): 1,005,831,298,101,384,000
Divisor count: 24
σ(n) — sum of divisors: 2,805,600
φ(n) — Euler's totient: 267,168
Sum of prime factors: 16,711

Primality

Prime factorization: 2 ² × 3 × 5 × 16699

Nearest primes: 1,001,933 (−7) · 1,001,941 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 16699 · 33398 · 50097 · 66796 · 83495 · 100194 · 166990 · 200388 · 250485 · 333980 · 500970 (half) · 1001940

Aliquot sum (sum of proper divisors): 1,803,660

Factor pairs (a × b = 1,001,940)

1 × 1001940

2 × 500970

3 × 333980

4 × 250485

5 × 200388

6 × 166990

10 × 100194

12 × 83495

15 × 66796

20 × 50097

30 × 33398

60 × 16699

First multiples

1,001,940 · 2,003,880 (double) · 3,005,820 · 4,007,760 · 5,009,700 · 6,011,640 · 7,013,580 · 8,015,520 · 9,017,460 · 10,019,400

Sums & aliquot sequence

As consecutive integers: 333,979 + 333,980 + 333,981 200,386 + 200,387 + 200,388 + 200,389 + 200,390 125,239 + 125,240 + … + 125,246 66,789 + 66,790 + … + 66,803

Aliquot sequence: 1,001,940 → 1,803,660 → 3,470,196 → 4,742,988 → 6,450,852 → 9,087,580 → 9,996,380 → 10,996,060 → 13,390,988 → 11,845,972 → 8,918,688 → 14,892,288 → 24,744,960 → 63,685,440 → 216,242,880 → 582,595,248 → 922,442,600 — unresolved within range

Continued fraction of √n

√1,001,940 = [1000; (1, 31, 1, 4, 1, 1, 7, 1, 3, 1, 8, 1, 1, 14, 1, 124, 5, 2, 1, 1, 2, 1, 2, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one million one thousand nine hundred forty
Ordinal: 1001940th
Binary: 11110100100111010100
Octal: 3644724
Hexadecimal: 0xF49D4
Base64: D0nU
One's complement: 4,293,965,355 (32-bit)
Scientific notation: 1.00194 × 10⁶
As a duration: 1,001,940 s = 11 days, 14 hours, 19 minutes

In other bases

ternary (3) 1212220101220

quaternary (4) 3310213110

quinary (5) 224030230

senary (6) 33250340

septenary (7) 11342052

nonary (9) 1786356

undecimal (11) 624855

duodecimal (12) 4039b0

tridecimal (13) 291084

tetradecimal (14) 1c11d2

pentadecimal (15) 14bd10

As an angle

1,001,940° = 2,783 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬一千九百四十
Chinese (financial): 壹佰萬壹仟玖佰肆拾

In other modern scripts

Eastern Arabic ١٠٠١٩٤٠ Devanagari १००१९४० Bengali ১০০১৯৪০ Tamil ௧௦௦௧௯௪௦ Thai ๑๐๐๑๙๔๐ Tibetan ༡༠༠༡༩༤༠ Khmer ១០០១៩៤០ Lao ໑໐໐໑໙໔໐ Burmese ၁၀၀၁၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001940, here are decompositions:

7 + 1001933 = 1001940
29 + 1001911 = 1001940
101 + 1001839 = 1001940
109 + 1001831 = 1001940
131 + 1001809 = 1001940
139 + 1001801 = 1001940
157 + 1001783 = 1001940
197 + 1001743 = 1001940

Showing the first eight; more decompositions exist.

Hex color

#0F49D4

RGB(15, 73, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.212.

Address: 0.15.73.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.212

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 1,001,940 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 US1,001,940 on Google Patents ↗ Look up on USPTO ↗