Live analysis

1,001,056

1,001,056 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.).

1,001,056 (one million one thousand fifty-six) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7 × 41 × 109. Its proper divisors sum to 1,327,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4660.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,044 1,001,045 1,001,046 1,001,047 1,001,048 1,001,049 1,001,050 1,001,051 1,001,052 1,001,053 1,001,054 1,001,055 1,001,056 1,001,057 1,001,058 1,001,059 1,001,060 1,001,061 1,001,062 1,001,063 1,001,064 1,001,065 1,001,066 1,001,067 1,001,068

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 6,501,001
Square (n²): 1,002,113,115,136
Cube (n³): 1,003,171,346,585,583,616
Divisor count: 48
σ(n) — sum of divisors: 2,328,480
φ(n) — Euler's totient: 414,720
Sum of prime factors: 167

Primality

Prime factorization: 2 ⁵ × 7 × 41 × 109

Nearest primes: 1,001,041 (−15) · 1,001,069 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 41 · 56 · 82 · 109 · 112 · 164 · 218 · 224 · 287 · 328 · 436 · 574 · 656 · 763 · 872 · 1148 · 1312 · 1526 · 1744 · 2296 · 3052 · 3488 · 4469 · 4592 · 6104 · 8938 · 9184 · 12208 · 17876 · 24416 · 31283 · 35752 · 62566 · 71504 · 125132 · 143008 · 250264 · 500528 (half) · 1001056

Aliquot sum (sum of proper divisors): 1,327,424

Factor pairs (a × b = 1,001,056)

1 × 1001056

2 × 500528

4 × 250264

7 × 143008

8 × 125132

14 × 71504

16 × 62566

28 × 35752

32 × 31283

41 × 24416

56 × 17876

82 × 12208

109 × 9184

112 × 8938

164 × 6104

218 × 4592

224 × 4469

287 × 3488

328 × 3052

436 × 2296

574 × 1744

656 × 1526

763 × 1312

872 × 1148

First multiples

1,001,056 · 2,002,112 (double) · 3,003,168 · 4,004,224 · 5,005,280 · 6,006,336 · 7,007,392 · 8,008,448 · 9,009,504 · 10,010,560

Sums & aliquot sequence

As consecutive integers: 143,005 + 143,006 + … + 143,011 24,396 + 24,397 + … + 24,436 15,610 + 15,611 + … + 15,673 9,130 + 9,131 + … + 9,238

Aliquot sequence: 1,001,056 → 1,327,424 → 1,684,000 → 2,463,416 → 2,221,624 → 1,943,936 → 1,929,004 → 2,280,404 → 2,480,044 → 2,697,044 → 2,697,100 → 3,993,444 → 9,215,388 → 20,749,092 → 38,841,180 → 85,451,940 → 210,785,820 — unresolved within range

Continued fraction of √n

√1,001,056 = [1000; (1, 1, 8, 2, 8, 1, 5, 16, 2, 1, 2, 1, 1, 5, 1, 54, 1, 2, 1, 4, 64, 2, 1, 17, …)]

Representations

In words: one million one thousand fifty-six
Ordinal: 1001056th
Binary: 11110100011001100000
Octal: 3643140
Hexadecimal: 0xF4660
Base64: D0Zg
One's complement: 4,293,966,239 (32-bit)
Scientific notation: 1.001056 × 10⁶
As a duration: 1,001,056 s = 11 days, 14 hours, 4 minutes, 16 seconds

In other bases

ternary (3) 1212212012011

quaternary (4) 3310121200

quinary (5) 224013211

senary (6) 33242304

septenary (7) 11336350

nonary (9) 1785164

undecimal (11) 624121

duodecimal (12) 403394

tridecimal (13) 290854

tetradecimal (14) 1c0b60

pentadecimal (15) 14b921

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零五十六
Chinese (financial): 壹佰萬壹仟零伍拾陸

In other modern scripts

Eastern Arabic ١٠٠١٠٥٦ Devanagari १००१०५६ Bengali ১০০১০৫৬ Tamil ௧௦௦௧௦௫௬ Thai ๑๐๐๑๐๕๖ Tibetan ༡༠༠༡༠༥༦ Khmer ១០០១០៥៦ Lao ໑໐໐໑໐໕໖ Burmese ၁၀၀၁၀၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001056, here are decompositions:

29 + 1001027 = 1001056
53 + 1001003 = 1001056
83 + 1000973 = 1001056
137 + 1000919 = 1001056
149 + 1000907 = 1001056
167 + 1000889 = 1001056
197 + 1000859 = 1001056
227 + 1000829 = 1001056

Showing the first eight; more decompositions exist.

Hex color

#0F4660

RGB(15, 70, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.96.

Address: 0.15.70.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.96

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 1,001,056 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 US1,001,056 on Google Patents ↗ Look up on USPTO ↗