Live analysis

1,002,132

1,002,132 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.).

1,002,132 (one million two thousand one hundred thirty-two) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3⁵ × 1,031. Its proper divisors sum to 1,627,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A94.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,120 1,002,121 1,002,122 1,002,123 1,002,124 1,002,125 1,002,126 1,002,127 1,002,128 1,002,129 1,002,130 1,002,131 1,002,132 1,002,133 1,002,134 1,002,135 1,002,136 1,002,137 1,002,138 1,002,139 1,002,140 1,002,141 1,002,142 1,002,143 1,002,144

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,312,001
Square (n²): 1,004,268,545,424
Cube (n³): 1,006,409,645,962,843,968
Divisor count: 36
σ(n) — sum of divisors: 2,629,536
φ(n) — Euler's totient: 333,720
Sum of prime factors: 1,050

Primality

Prime factorization: 2 ² × 3 ⁵ × 1031

Nearest primes: 1,002,121 (−11) · 1,002,143 (+11)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 108 · 162 · 243 · 324 · 486 · 972 · 1031 · 2062 · 3093 · 4124 · 6186 · 9279 · 12372 · 18558 · 27837 · 37116 · 55674 · 83511 · 111348 · 167022 · 250533 · 334044 · 501066 (half) · 1002132

Aliquot sum (sum of proper divisors): 1,627,404

Factor pairs (a × b = 1,002,132)

1 × 1002132

2 × 501066

3 × 334044

4 × 250533

6 × 167022

9 × 111348

12 × 83511

18 × 55674

27 × 37116

36 × 27837

54 × 18558

81 × 12372

108 × 9279

162 × 6186

243 × 4124

324 × 3093

486 × 2062

972 × 1031

First multiples

1,002,132 · 2,004,264 (double) · 3,006,396 · 4,008,528 · 5,010,660 · 6,012,792 · 7,014,924 · 8,017,056 · 9,019,188 · 10,021,320

Sums & aliquot sequence

As consecutive integers: 334,043 + 334,044 + 334,045 125,263 + 125,264 + … + 125,270 111,344 + 111,345 + … + 111,352 41,744 + 41,745 + … + 41,767

Aliquot sequence: 1,002,132 → 1,627,404 → 2,169,900 → 4,634,352 → 8,335,800 → 22,276,080 → 54,460,080 → 143,146,320 → 322,359,600 → 714,551,712 → 1,467,397,344 → 2,957,319,456 → 7,159,629,792 → 14,474,066,208 — keeps growing

Continued fraction of √n

√1,002,132 = [1001; (15, 3, 1, 1, 6, 1, 3, 1, 3, 2, 33, 2, 33, 2, 3, 1, 3, 1, 6, 1, 1, 3, 15, 2002)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million two thousand one hundred thirty-two
Ordinal: 1002132nd
Binary: 11110100101010010100
Octal: 3645224
Hexadecimal: 0xF4A94
Base64: D0qU
One's complement: 4,293,965,163 (32-bit)
Scientific notation: 1.002132 × 10⁶
As a duration: 1,002,132 s = 11 days, 14 hours, 22 minutes, 12 seconds

In other bases

ternary (3) 1212220200000

quaternary (4) 3310222110

quinary (5) 224032012

senary (6) 33251300

septenary (7) 11342445

nonary (9) 1786600

undecimal (11) 624a0a

duodecimal (12) 403b30

tridecimal (13) 2911a1

tetradecimal (14) 1c12cc

pentadecimal (15) 14bddc

As an angle

1,002,132° = 2,783 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千一百三十二
Chinese (financial): 壹佰萬貳仟壹佰參拾貳

In other modern scripts

Eastern Arabic ١٠٠٢١٣٢ Devanagari १००२१३२ Bengali ১০০২১৩২ Tamil ௧௦௦௨௧௩௨ Thai ๑๐๐๒๑๓๒ Tibetan ༡༠༠༢༡༣༢ Khmer ១០០២១៣២ Lao ໑໐໐໒໑໓໒ Burmese ၁၀၀၂၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002132, here are decompositions:

11 + 1002121 = 1002132
23 + 1002109 = 1002132
31 + 1002101 = 1002132
41 + 1002091 = 1002132
59 + 1002073 = 1002132
71 + 1002061 = 1002132
83 + 1002049 = 1002132
149 + 1001983 = 1002132

Showing the first eight; more decompositions exist.

Hex color

#0F4A94

RGB(15, 74, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.148.

Address: 0.15.74.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.148

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 1,002,132 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 US1,002,132 on Google Patents ↗ Look up on USPTO ↗