Live analysis

1,051,072

1,051,072 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.).

1,051,072 (one million fifty-one thousand seventy-two) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 11 × 1,493. Its proper divisors sum to 1,225,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1009C0.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,051,060 1,051,061 1,051,062 1,051,063 1,051,064 1,051,065 1,051,066 1,051,067 1,051,068 1,051,069 1,051,070 1,051,071 1,051,072 1,051,073 1,051,074 1,051,075 1,051,076 1,051,077 1,051,078 1,051,079 1,051,080 1,051,081 1,051,082 1,051,083 1,051,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 21 bits
Reversed: 2,701,501
Square (n²): 1,104,752,349,184
Cube (n³): 1,161,174,261,161,525,248
Divisor count: 28
σ(n) — sum of divisors: 2,276,856
φ(n) — Euler's totient: 477,440
Sum of prime factors: 1,516

Primality

Prime factorization: 2 ⁶ × 11 × 1493

Nearest primes: 1,051,069 (−3) · 1,051,079 (+7)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 64 · 88 · 176 · 352 · 704 · 1493 · 2986 · 5972 · 11944 · 16423 · 23888 · 32846 · 47776 · 65692 · 95552 · 131384 · 262768 · 525536 (half) · 1051072

Aliquot sum (sum of proper divisors): 1,225,784

Factor pairs (a × b = 1,051,072)

1 × 1051072

2 × 525536

4 × 262768

8 × 131384

11 × 95552

16 × 65692

22 × 47776

32 × 32846

44 × 23888

64 × 16423

88 × 11944

176 × 5972

352 × 2986

704 × 1493

First multiples

1,051,072 · 2,102,144 (double) · 3,153,216 · 4,204,288 · 5,255,360 · 6,306,432 · 7,357,504 · 8,408,576 · 9,459,648 · 10,510,720

Sums & aliquot sequence

As consecutive integers: 95,547 + 95,548 + … + 95,557 8,148 + 8,149 + … + 8,275 43 + 44 + … + 1,450

Aliquot sequence: 1,051,072 → 1,225,784 → 1,544,416 → 1,704,872 → 1,793,728 → 1,765,828 → 1,375,464 → 2,092,056 → 3,227,544 → 5,898,456 → 11,511,144 → 21,833,856 → 46,746,864 → 85,901,392 → 80,829,008 → 89,993,392 → 84,368,836 — unresolved within range

Continued fraction of √n

√1,051,072 = [1025; (4, 1, 1, 2, 2, 1, 1, 2, 3, 4, 2, 1, 4, 1, 1, 1, 5, 1, 1, 1, 1, 1, 31, 1, …)]

Representations

In words: one million fifty-one thousand seventy-two
Ordinal: 1051072nd
Binary: 100000000100111000000
Octal: 4004700
Hexadecimal: 0x1009C0
Base64: EAnA
One's complement: 4,293,916,223 (32-bit)
Scientific notation: 1.051072 × 10⁶
As a duration: 1,051,072 s = 12 days, 3 hours, 57 minutes, 52 seconds

In other bases

ternary (3) 1222101210121

quaternary (4) 10000213000

quinary (5) 232113242

senary (6) 34310024

septenary (7) 11635231

nonary (9) 1871717

undecimal (11) 658760

duodecimal (12) 428314

tridecimal (13) 2aa549

tetradecimal (14) 1d5088

pentadecimal (15) 15b667

As an angle

1,051,072° = 2,919 × 360° + 232°

232° ≈ 4.049 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零五萬一千零七十二
Chinese (financial): 壹佰零伍萬壹仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٥١٠٧٢ Devanagari १०५१०७२ Bengali ১০৫১০৭২ Tamil ௧௦௫௧௦௭௨ Thai ๑๐๕๑๐๗๒ Tibetan ༡༠༥༡༠༧༢ Khmer ១០៥១០៧២ Lao ໑໐໕໑໐໗໒ Burmese ၁၀၅၁၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051072, here are decompositions:

3 + 1051069 = 1051072
53 + 1051019 = 1051072
173 + 1050899 = 1051072
359 + 1050713 = 1051072
461 + 1050611 = 1051072
479 + 1050593 = 1051072
509 + 1050563 = 1051072
563 + 1050509 = 1051072

Showing the first eight; more decompositions exist.

Hex color

#1009C0

RGB(16, 9, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.9.192.

Address: 0.16.9.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.9.192

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 1072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1072-05-01 (DMMYYYY (Euro, single-digit day))
1072-10-05 (MMDYYYY (US, single-digit day))
1072-05-10 (DDMYYYY (Euro, single-digit month))

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 1,051,072 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,051,072 on Google Patents ↗ Look up on USPTO ↗