Live analysis

1,002,100

1,002,100 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.).

1,002,100 (one million two thousand one hundred) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 11 × 911. Its proper divisors sum to 1,372,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A74.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,002,088 1,002,089 1,002,090 1,002,091 1,002,092 1,002,093 1,002,094 1,002,095 1,002,096 1,002,097 1,002,098 1,002,099 1,002,100 1,002,101 1,002,102 1,002,103 1,002,104 1,002,105 1,002,106 1,002,107 1,002,108 1,002,109 1,002,110 1,002,111 1,002,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 12,001
Square (n²): 1,004,204,410,000
Cube (n³): 1,006,313,239,261,000,000
Divisor count: 36
σ(n) — sum of divisors: 2,374,848
φ(n) — Euler's totient: 364,000
Sum of prime factors: 936

Primality

Prime factorization: 2 ² × 5 ² × 11 × 911

Nearest primes: 1,002,091 (−9) · 1,002,101 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 25 · 44 · 50 · 55 · 100 · 110 · 220 · 275 · 550 · 911 · 1100 · 1822 · 3644 · 4555 · 9110 · 10021 · 18220 · 20042 · 22775 · 40084 · 45550 · 50105 · 91100 · 100210 · 200420 · 250525 · 501050 (half) · 1002100

Aliquot sum (sum of proper divisors): 1,372,748

Factor pairs (a × b = 1,002,100)

1 × 1002100

2 × 501050

4 × 250525

5 × 200420

10 × 100210

11 × 91100

20 × 50105

22 × 45550

25 × 40084

44 × 22775

50 × 20042

55 × 18220

100 × 10021

110 × 9110

220 × 4555

275 × 3644

550 × 1822

911 × 1100

First multiples

1,002,100 · 2,004,200 (double) · 3,006,300 · 4,008,400 · 5,010,500 · 6,012,600 · 7,014,700 · 8,016,800 · 9,018,900 · 10,021,000

Sums & aliquot sequence

As consecutive integers: 200,418 + 200,419 + 200,420 + 200,421 + 200,422 125,259 + 125,260 + … + 125,266 91,095 + 91,096 + … + 91,105 40,072 + 40,073 + … + 40,096

Aliquot sequence: 1,002,100 → 1,372,748 → 1,214,452 → 910,846 → 514,898 → 265,402 → 132,704 → 184,816 → 173,296 → 162,496 → 160,084 → 129,324 → 196,036 → 147,034 → 73,520 → 97,600 → 146,494 — unresolved within range

Continued fraction of √n

√1,002,100 = [1001; (20, 4, 2, 24, 3, 1, 2, 15, 1, 3, 1, 1, 1, 1, 38, 1, 1, 1, 5, 3, 2, 1, 1, 4, …)]

Representations

In words: one million two thousand one hundred
Ordinal: 1002100th
Binary: 11110100101001110100
Octal: 3645164
Hexadecimal: 0xF4A74
Base64: D0p0
One's complement: 4,293,965,195 (32-bit)
Scientific notation: 1.0021 × 10⁶
As a duration: 1,002,100 s = 11 days, 14 hours, 21 minutes, 40 seconds

In other bases

ternary (3) 1212220121211

quaternary (4) 3310221310

quinary (5) 224031400

senary (6) 33251204

septenary (7) 11342401

nonary (9) 1786554

undecimal (11) 624990

duodecimal (12) 403b04

tridecimal (13) 291178

tetradecimal (14) 1c12a8

pentadecimal (15) 14bdba

As an angle

1,002,100° = 2,783 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢
Chinese: 一百萬二千一百
Chinese (financial): 壹佰萬貳仟壹佰

In other modern scripts

Eastern Arabic ١٠٠٢١٠٠ Devanagari १००२१०० Bengali ১০০২১০০ Tamil ௧௦௦௨௧௦௦ Thai ๑๐๐๒๑๐๐ Tibetan ༡༠༠༢༡༠༠ Khmer ១០០២១០០ Lao ໑໐໐໒໑໐໐ Burmese ၁၀၀၂၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002100, here are decompositions:

17 + 1002083 = 1002100
23 + 1002077 = 1002100
83 + 1002017 = 1002100
167 + 1001933 = 1002100
269 + 1001831 = 1002100
293 + 1001807 = 1002100
317 + 1001783 = 1002100
431 + 1001669 = 1002100

Showing the first eight; more decompositions exist.

Hex color

#0F4A74

RGB(15, 74, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.116.

Address: 0.15.74.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.116

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 1,002,100 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 US1,002,100 on Google Patents ↗ Look up on USPTO ↗