Live analysis

1,002,126

1,002,126 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.).

1,002,126 (one million two thousand one hundred twenty-six) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 167,021. Its proper divisors sum to 1,002,138, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A8E.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,114 1,002,115 1,002,116 1,002,117 1,002,118 1,002,119 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,212,001
Square (n²): 1,004,256,519,876
Cube (n³): 1,006,391,569,237,256,376
Divisor count: 8
σ(n) — sum of divisors: 2,004,264
φ(n) — Euler's totient: 334,040
Sum of prime factors: 167,026

Primality

Prime factorization: 2 × 3 × 167021

Nearest primes: 1,002,121 (−5) · 1,002,143 (+17)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 167021 · 334042 · 501063 (half) · 1002126

Aliquot sum (sum of proper divisors): 1,002,138

Factor pairs (a × b = 1,002,126)

1 × 1002126

2 × 501063

3 × 334042

6 × 167021

First multiples

1,002,126 · 2,004,252 (double) · 3,006,378 · 4,008,504 · 5,010,630 · 6,012,756 · 7,014,882 · 8,017,008 · 9,019,134 · 10,021,260

Sums & aliquot sequence

As consecutive integers: 334,041 + 334,042 + 334,043 250,530 + 250,531 + 250,532 + 250,533 83,505 + 83,506 + … + 83,516

Aliquot sequence: 1,002,126 → 1,002,138 → 1,002,150 → 1,870,434 → 2,182,212 → 3,334,026 → 3,334,038 → 3,497,178 → 3,865,542 → 3,865,554 → 6,580,206 → 7,676,946 → 9,193,518 → 10,725,810 → 16,531,662 → 21,255,090 → 30,035,406 — unresolved within range

Continued fraction of √n

√1,002,126 = [1001; (16, 60, 1, 1, 1, 1, 4, 2, 3, 16, 3, 1, 8, 1, 1, 3, 1, 3, 1, 1, 13, 1, 18, 1, …)]

Representations

In words: one million two thousand one hundred twenty-six
Ordinal: 1002126th
Binary: 11110100101010001110
Octal: 3645216
Hexadecimal: 0xF4A8E
Base64: D0qO
One's complement: 4,293,965,169 (32-bit)
Scientific notation: 1.002126 × 10⁶
As a duration: 1,002,126 s = 11 days, 14 hours, 22 minutes, 6 seconds

In other bases

ternary (3) 1212220122210

quaternary (4) 3310222032

quinary (5) 224032001

senary (6) 33251250

septenary (7) 11342436

nonary (9) 1786583

undecimal (11) 624a04

duodecimal (12) 403b26

tridecimal (13) 291198

tetradecimal (14) 1c12c6

pentadecimal (15) 14bdd6

As an angle

1,002,126° = 2,783 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百二十六
Chinese (financial): 壹佰萬貳仟壹佰貳拾陸

In other modern scripts

Eastern Arabic ١٠٠٢١٢٦ Devanagari १००२१२६ Bengali ১০০২১২৬ Tamil ௧௦௦௨௧௨௬ Thai ๑๐๐๒๑๒๖ Tibetan ༡༠༠༢༡༢༦ Khmer ១០០២១២៦ Lao ໑໐໐໒໑໒໖ Burmese ၁၀၀၂၁၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002126, here are decompositions:

5 + 1002121 = 1002126
17 + 1002109 = 1002126
43 + 1002083 = 1002126
53 + 1002073 = 1002126
109 + 1002017 = 1002126
137 + 1001989 = 1002126
149 + 1001977 = 1002126
173 + 1001953 = 1002126

Showing the first eight; more decompositions exist.

Hex color

#0F4A8E

RGB(15, 74, 142)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.142.

Address: 0.15.74.142
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.142

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 1,002,126 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 US1,002,126 on Google Patents ↗ Look up on USPTO ↗