Live analysis

1,001,132

1,001,132 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.).

1,001,132 (one million one thousand one hundred thirty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 61 × 373. Written other ways, in hexadecimal, 0xF46AC.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,120 1,001,121 1,001,122 1,001,123 1,001,124 1,001,125 1,001,126 1,001,127 1,001,128 1,001,129 1,001,130 1,001,131 1,001,132 1,001,133 1,001,134 1,001,135 1,001,136 1,001,137 1,001,138 1,001,139 1,001,140 1,001,141 1,001,142 1,001,143 1,001,144

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 2,311,001
Square (n²): 1,002,265,281,424
Cube (n³): 1,003,399,845,722,571,968
Divisor count: 24
σ(n) — sum of divisors: 1,947,792
φ(n) — Euler's totient: 446,400
Sum of prime factors: 449

Primality

Prime factorization: 2 ² × 11 × 61 × 373

Nearest primes: 1,001,123 (−9) · 1,001,153 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 11 · 22 · 44 · 61 · 122 · 244 · 373 · 671 · 746 · 1342 · 1492 · 2684 · 4103 · 8206 · 16412 · 22753 · 45506 · 91012 · 250283 · 500566 (half) · 1001132

Aliquot sum (sum of proper divisors): 946,660

Factor pairs (a × b = 1,001,132)

1 × 1001132

2 × 500566

4 × 250283

11 × 91012

22 × 45506

44 × 22753

61 × 16412

122 × 8206

244 × 4103

373 × 2684

671 × 1492

746 × 1342

First multiples

1,001,132 · 2,002,264 (double) · 3,003,396 · 4,004,528 · 5,005,660 · 6,006,792 · 7,007,924 · 8,009,056 · 9,010,188 · 10,011,320

Sums & aliquot sequence

As consecutive integers: 125,138 + 125,139 + … + 125,145 91,007 + 91,008 + … + 91,017 16,382 + 16,383 + … + 16,442 11,333 + 11,334 + … + 11,420

Aliquot sequence: 1,001,132 → 946,660 → 1,395,932 → 1,063,084 → 1,024,484 → 768,370 → 614,714 → 311,386 → 155,696 → 155,296 → 165,248 → 164,212 → 128,304 → 278,292 → 464,044 → 464,100 → 1,285,788 — unresolved within range

Continued fraction of √n

√1,001,132 = [1000; (1, 1, 3, 3, 2, 1, 2, 1, 2, 1, 3, 2, 4, 8, 1, 1, 18, 5, 1, 3, 4, 2, 5, 1, …)]

Representations

In words: one million one thousand one hundred thirty-two
Ordinal: 1001132nd
Binary: 11110100011010101100
Octal: 3643254
Hexadecimal: 0xF46AC
Base64: D0as
One's complement: 4,293,966,163 (32-bit)
Scientific notation: 1.001132 × 10⁶
As a duration: 1,001,132 s = 11 days, 14 hours, 5 minutes, 32 seconds

In other bases

ternary (3) 1212212021222

quaternary (4) 3310122230

quinary (5) 224014012

senary (6) 33242512

septenary (7) 11336516

nonary (9) 1785258

undecimal (11) 624190

duodecimal (12) 403438

tridecimal (13) 2908b2

tetradecimal (14) 1c0bb6

pentadecimal (15) 14b972

As an angle

1,001,132° = 2,780 × 360° + 332°

332° ≈ 5.794 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千一百三十二
Chinese (financial): 壹佰萬壹仟壹佰參拾貳

In other modern scripts

Eastern Arabic ١٠٠١١٣٢ Devanagari १००११३२ Bengali ১০০১১৩২ Tamil ௧௦௦௧௧௩௨ Thai ๑๐๐๑๑๓๒ Tibetan ༡༠༠༡༡༣༢ Khmer ១០០១១៣២ Lao ໑໐໐໑໑໓໒ Burmese ၁၀၀၁၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001132, here are decompositions:

43 + 1001089 = 1001132
109 + 1001023 = 1001132
151 + 1000981 = 1001132
163 + 1000969 = 1001132
211 + 1000921 = 1001132
271 + 1000861 = 1001132
283 + 1000849 = 1001132
409 + 1000723 = 1001132

Showing the first eight; more decompositions exist.

Hex color

#0F46AC

RGB(15, 70, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.172.

Address: 0.15.70.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.172

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 1,001,132 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 US1,001,132 on Google Patents ↗ Look up on USPTO ↗