Live analysis

1,001,100

1,001,100 is a composite number, even.

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1,001,100 (one million one thousand one hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5² × 47 × 71. Its proper divisors sum to 1,998,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF468C.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,001,088 1,001,089 1,001,090 1,001,091 1,001,092 1,001,093 1,001,094 1,001,095 1,001,096 1,001,097 1,001,098 1,001,099 1,001,100 1,001,101 1,001,102 1,001,103 1,001,104 1,001,105 1,001,106 1,001,107 1,001,108 1,001,109 1,001,110 1,001,111 1,001,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 11,001
Flips to (rotate 180°): 11,001
Square (n²): 1,002,201,210,000
Cube (n³): 1,003,303,631,331,000,000
Divisor count: 72
σ(n) — sum of divisors: 2,999,808
φ(n) — Euler's totient: 257,600
Sum of prime factors: 135

Primality

Prime factorization: 2 ² × 3 × 5 ² × 47 × 71

Nearest primes: 1,001,093 (−7) · 1,001,107 (+7)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 47 · 50 · 60 · 71 · 75 · 94 · 100 · 141 · 142 · 150 · 188 · 213 · 235 · 282 · 284 · 300 · 355 · 426 · 470 · 564 · 705 · 710 · 852 · 940 · 1065 · 1175 · 1410 · 1420 · 1775 · 2130 · 2350 · 2820 · 3337 · 3525 · 3550 · 4260 · 4700 · 5325 · 6674 · 7050 · 7100 · 10011 · 10650 · 13348 · 14100 · 16685 · 20022 · 21300 · 33370 · 40044 · 50055 · 66740 · 83425 · 100110 · 166850 · 200220 · 250275 · 333700 · 500550 (half) · 1001100

Aliquot sum (sum of proper divisors): 1,998,708

Factor pairs (a × b = 1,001,100)

1 × 1001100

2 × 500550

3 × 333700

4 × 250275

5 × 200220

6 × 166850

10 × 100110

12 × 83425

15 × 66740

20 × 50055

25 × 40044

30 × 33370

47 × 21300

50 × 20022

60 × 16685

71 × 14100

75 × 13348

94 × 10650

100 × 10011

141 × 7100

142 × 7050

150 × 6674

188 × 5325

213 × 4700

235 × 4260

282 × 3550

284 × 3525

300 × 3337

355 × 2820

426 × 2350

470 × 2130

564 × 1775

705 × 1420

710 × 1410

852 × 1175

940 × 1065

First multiples

1,001,100 · 2,002,200 (double) · 3,003,300 · 4,004,400 · 5,005,500 · 6,006,600 · 7,007,700 · 8,008,800 · 9,009,900 · 10,011,000

Sums & aliquot sequence

As consecutive integers: 333,699 + 333,700 + 333,701 200,218 + 200,219 + 200,220 + 200,221 + 200,222 125,134 + 125,135 + … + 125,141 66,733 + 66,734 + … + 66,747

Aliquot sequence: 1,001,100 → 1,998,708 → 2,694,540 → 4,850,340 → 9,967,260 → 18,087,396 → 25,706,844 → 39,718,516 → 35,317,004 → 26,530,180 → 29,296,892 → 21,972,676 → 22,056,764 → 17,440,540 → 22,002,500 → 29,890,264 → 26,153,996 — unresolved within range

Continued fraction of √n

√1,001,100 = [1000; (1, 1, 4, 1, 1, 15, 1, 82, 2, 3, 1, 1, 1, 3, 7, 500, 7, 3, 1, 1, 1, 3, 2, 82, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million one thousand one hundred
Ordinal: 1001100th
Binary: 11110100011010001100
Octal: 3643214
Hexadecimal: 0xF468C
Base64: D0aM
One's complement: 4,293,966,195 (32-bit)
Scientific notation: 1.0011 × 10⁶
As a duration: 1,001,100 s = 11 days, 14 hours, 5 minutes

In other bases

ternary (3) 1212212020210

quaternary (4) 3310122030

quinary (5) 224013400

senary (6) 33242420

septenary (7) 11336442

nonary (9) 1785223

undecimal (11) 624161

duodecimal (12) 403410

tridecimal (13) 290889

tetradecimal (14) 1c0b92

pentadecimal (15) 14b950

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢
Chinese: 一百萬一千一百
Chinese (financial): 壹佰萬壹仟壹佰

In other modern scripts

Eastern Arabic ١٠٠١١٠٠ Devanagari १००११०० Bengali ১০০১১০০ Tamil ௧௦௦௧௧௦௦ Thai ๑๐๐๑๑๐๐ Tibetan ༡༠༠༡༡༠༠ Khmer ១០០១១០០ Lao ໑໐໐໑໑໐໐ Burmese ၁၀၀၁၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001100, here are decompositions:

7 + 1001093 = 1001100
11 + 1001089 = 1001100
13 + 1001087 = 1001100
19 + 1001081 = 1001100
31 + 1001069 = 1001100
59 + 1001041 = 1001100
73 + 1001027 = 1001100
83 + 1001017 = 1001100

Showing the first eight; more decompositions exist.

Hex color

#0F468C

RGB(15, 70, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.140.

Address: 0.15.70.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.140

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 1,001,100 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 US1,001,100 on Google Patents ↗ Look up on USPTO ↗