Live analysis

1,040,100

1,040,100 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.).

1,040,100 (one million forty thousand one hundred) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5² × 3,467. Its proper divisors sum to 1,970,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDEE4.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,040,088 1,040,089 1,040,090 1,040,091 1,040,092 1,040,093 1,040,094 1,040,095 1,040,096 1,040,097 1,040,098 1,040,099 1,040,100 1,040,101 1,040,102 1,040,103 1,040,104 1,040,105 1,040,106 1,040,107 1,040,108 1,040,109 1,040,110 1,040,111 1,040,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 10,401
Square (n²): 1,081,808,010,000
Cube (n³): 1,125,188,511,201,000,000
Divisor count: 36
σ(n) — sum of divisors: 3,010,224
φ(n) — Euler's totient: 277,280
Sum of prime factors: 3,484

Primality

Prime factorization: 2 ² × 3 × 5 ² × 3467

Nearest primes: 1,040,093 (−7) · 1,040,101 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 150 · 300 · 3467 · 6934 · 10401 · 13868 · 17335 · 20802 · 34670 · 41604 · 52005 · 69340 · 86675 · 104010 · 173350 · 208020 · 260025 · 346700 · 520050 (half) · 1040100

Aliquot sum (sum of proper divisors): 1,970,124

Factor pairs (a × b = 1,040,100)

1 × 1040100

2 × 520050

3 × 346700

4 × 260025

5 × 208020

6 × 173350

10 × 104010

12 × 86675

15 × 69340

20 × 52005

25 × 41604

30 × 34670

50 × 20802

60 × 17335

75 × 13868

100 × 10401

150 × 6934

300 × 3467

First multiples

1,040,100 · 2,080,200 (double) · 3,120,300 · 4,160,400 · 5,200,500 · 6,240,600 · 7,280,700 · 8,320,800 · 9,360,900 · 10,401,000

Sums & aliquot sequence

As consecutive integers: 346,699 + 346,700 + 346,701 208,018 + 208,019 + 208,020 + 208,021 + 208,022 130,009 + 130,010 + … + 130,016 69,333 + 69,334 + … + 69,347

Aliquot sequence: 1,040,100 → 1,970,124 → 3,077,268 → 4,176,972 → 6,381,576 → 11,197,284 → 19,637,436 → 38,064,964 → 39,981,032 → 52,284,568 → 61,755,332 → 46,645,324 → 42,619,124 → 31,964,350 → 33,723,410 → 40,015,534 → 27,863,186 — unresolved within range

Continued fraction of √n

√1,040,100 = [1019; (1, 5, 1, 3, 1, 80, 1, 3, 1, 5, 1, 2038)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand one hundred
Ordinal: 1040100th
Binary: 11111101111011100100
Octal: 3757344
Hexadecimal: 0xFDEE4
Base64: D97k
One's complement: 4,293,927,195 (32-bit)
Scientific notation: 1.0401 × 10⁶
As a duration: 1,040,100 s = 12 days, 55 minutes

In other bases

ternary (3) 1221211202020

quaternary (4) 3331323210

quinary (5) 231240400

senary (6) 34143140

septenary (7) 11561235

nonary (9) 1854666

undecimal (11) 650496

duodecimal (12) 421ab0

tridecimal (13) 2a5559

tetradecimal (14) 1d108c

pentadecimal (15) 1582a0

As an angle

1,040,100° = 2,889 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢
Chinese: 一百零四萬零一百
Chinese (financial): 壹佰零肆萬零壹佰

In other modern scripts

Eastern Arabic ١٠٤٠١٠٠ Devanagari १०४०१०० Bengali ১০৪০১০০ Tamil ௧௦௪௦௧௦௦ Thai ๑๐๔๐๑๐๐ Tibetan ༡༠༤༠༡༠༠ Khmer ១០៤០១០០ Lao ໑໐໔໐໑໐໐ Burmese ၁၀၄၀၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040100, here are decompositions:

7 + 1040093 = 1040100
11 + 1040089 = 1040100
29 + 1040071 = 1040100
31 + 1040069 = 1040100
41 + 1040059 = 1040100
43 + 1040057 = 1040100
71 + 1040029 = 1040100
79 + 1040021 = 1040100

Showing the first eight; more decompositions exist.

Hex color

#0FDEE4

RGB(15, 222, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.228.

Address: 0.15.222.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.228

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 0100 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0100-04-01 (DMMYYYY (Euro, single-digit day))
0100-10-04 (MMDYYYY (US, single-digit day))
0100-04-10 (DDMYYYY (Euro, single-digit month))

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 1,040,100 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,040,100 on Google Patents ↗ Look up on USPTO ↗