Live analysis

1,001,136

1,001,136 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.).

1,001,136 (one million one thousand one hundred thirty-six) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 20,857. Its proper divisors sum to 1,585,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF46B0.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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 1,001,145 1,001,146 1,001,147 1,001,148

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,311,001
Square (n²): 1,002,273,290,496
Cube (n³): 1,003,411,872,954,003,456
Divisor count: 20
σ(n) — sum of divisors: 2,586,392
φ(n) — Euler's totient: 333,696
Sum of prime factors: 20,868

Primality

Prime factorization: 2 ⁴ × 3 × 20857

Nearest primes: 1,001,123 (−13) · 1,001,153 (+17)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 20857 · 41714 · 62571 · 83428 · 125142 · 166856 · 250284 · 333712 · 500568 (half) · 1001136

Aliquot sum (sum of proper divisors): 1,585,256

Factor pairs (a × b = 1,001,136)

1 × 1001136

2 × 500568

3 × 333712

4 × 250284

6 × 166856

8 × 125142

12 × 83428

16 × 62571

24 × 41714

48 × 20857

First multiples

1,001,136 · 2,002,272 (double) · 3,003,408 · 4,004,544 · 5,005,680 · 6,006,816 · 7,007,952 · 8,009,088 · 9,010,224 · 10,011,360

Sums & aliquot sequence

As consecutive integers: 333,711 + 333,712 + 333,713 31,270 + 31,271 + … + 31,301 10,381 + 10,382 + … + 10,476

Aliquot sequence: 1,001,136 → 1,585,256 → 1,490,044 → 1,117,540 → 1,265,372 → 949,036 → 862,844 → 661,756 → 546,836 → 410,134 → 255,146 → 130,138 → 71,462 → 35,734 → 21,074 → 11,434 → 5,720 — unresolved within range

Continued fraction of √n

√1,001,136 = [1000; (1, 1, 3, 5, 2, 1, 1, 60, 21, 20, 1, 3, 1, 15, 1, 2, 1, 5, 1, 1, 1, 5, 28, 125, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one million one thousand one hundred thirty-six
Ordinal: 1001136th
Binary: 11110100011010110000
Octal: 3643260
Hexadecimal: 0xF46B0
Base64: D0aw
One's complement: 4,293,966,159 (32-bit)
Scientific notation: 1.001136 × 10⁶
As a duration: 1,001,136 s = 11 days, 14 hours, 5 minutes, 36 seconds

In other bases

ternary (3) 1212212022010

quaternary (4) 3310122300

quinary (5) 224014021

senary (6) 33242520

septenary (7) 11336523

nonary (9) 1785263

undecimal (11) 624194

duodecimal (12) 403440

tridecimal (13) 2908b6

tetradecimal (14) 1c0bba

pentadecimal (15) 14b976

As an angle

1,001,136° = 2,780 × 360° + 336°

336° ≈ 5.864 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千一百三十六
Chinese (financial): 壹佰萬壹仟壹佰參拾陸

In other modern scripts

Eastern Arabic ١٠٠١١٣٦ Devanagari १००११३६ Bengali ১০০১১৩৬ Tamil ௧௦௦௧௧௩௬ Thai ๑๐๐๑๑๓๖ Tibetan ༡༠༠༡༡༣༦ Khmer ១០០១១៣៦ Lao ໑໐໐໑໑໓໖ Burmese ၁၀၀၁၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001136, here are decompositions:

13 + 1001123 = 1001136
29 + 1001107 = 1001136
43 + 1001093 = 1001136
47 + 1001089 = 1001136
67 + 1001069 = 1001136
109 + 1001027 = 1001136
113 + 1001023 = 1001136
137 + 1000999 = 1001136

Showing the first eight; more decompositions exist.

Hex color

#0F46B0

RGB(15, 70, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.176.

Address: 0.15.70.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.176

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 1,001,136 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 US1,001,136 on Google Patents ↗ Look up on USPTO ↗