Live analysis

1,047,072

1,047,072 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.).

1,047,072 (one million forty-seven thousand seventy-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 13 × 839. Its proper divisors sum to 1,916,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFA20.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,047,060 1,047,061 1,047,062 1,047,063 1,047,064 1,047,065 1,047,066 1,047,067 1,047,068 1,047,069 1,047,070 1,047,071 1,047,072 1,047,073 1,047,074 1,047,075 1,047,076 1,047,077 1,047,078 1,047,079 1,047,080 1,047,081 1,047,082 1,047,083 1,047,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,707,401
Square (n²): 1,096,359,773,184
Cube (n³): 1,147,967,620,427,317,248
Divisor count: 48
σ(n) — sum of divisors: 2,963,520
φ(n) — Euler's totient: 321,792
Sum of prime factors: 865

Primality

Prime factorization: 2 ⁵ × 3 × 13 × 839

Nearest primes: 1,047,061 (−11) · 1,047,077 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 32 · 39 · 48 · 52 · 78 · 96 · 104 · 156 · 208 · 312 · 416 · 624 · 839 · 1248 · 1678 · 2517 · 3356 · 5034 · 6712 · 10068 · 10907 · 13424 · 20136 · 21814 · 26848 · 32721 · 40272 · 43628 · 65442 · 80544 · 87256 · 130884 · 174512 · 261768 · 349024 · 523536 (half) · 1047072

Aliquot sum (sum of proper divisors): 1,916,448

Factor pairs (a × b = 1,047,072)

1 × 1047072

2 × 523536

3 × 349024

4 × 261768

6 × 174512

8 × 130884

12 × 87256

13 × 80544

16 × 65442

24 × 43628

26 × 40272

32 × 32721

39 × 26848

48 × 21814

52 × 20136

78 × 13424

96 × 10907

104 × 10068

156 × 6712

208 × 5034

312 × 3356

416 × 2517

624 × 1678

839 × 1248

First multiples

1,047,072 · 2,094,144 (double) · 3,141,216 · 4,188,288 · 5,235,360 · 6,282,432 · 7,329,504 · 8,376,576 · 9,423,648 · 10,470,720

Sums & aliquot sequence

As consecutive integers: 349,023 + 349,024 + 349,025 80,538 + 80,539 + … + 80,550 26,829 + 26,830 + … + 26,867 16,329 + 16,330 + … + 16,392

Aliquot sequence: 1,047,072 → 1,916,448 → 3,114,480 → 7,063,440 → 16,000,560 → 38,665,584 → 76,237,776 → 137,827,764 → 219,503,756 → 165,569,884 → 133,524,324 → 242,691,516 → 370,778,796 → 598,511,064 → 899,327,256 → 1,357,365,144 → 2,036,047,776 — unresolved within range

Continued fraction of √n

√1,047,072 = [1023; (3, 1, 3, 3, 7, 4, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 7, 5, 1, 16, 13, 16, 1, 5, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million forty-seven thousand seventy-two
Ordinal: 1047072nd
Binary: 11111111101000100000
Octal: 3775040
Hexadecimal: 0xFFA20
Base64: D/og
One's complement: 4,293,920,223 (32-bit)
Scientific notation: 1.047072 × 10⁶
As a duration: 1,047,072 s = 12 days, 2 hours, 51 minutes, 12 seconds

In other bases

ternary (3) 1222012022110

quaternary (4) 3333220200

quinary (5) 232001242

senary (6) 34235320

septenary (7) 11620455

nonary (9) 1865273

undecimal (11) 655754

duodecimal (12) 425b40

tridecimal (13) 2a8790

tetradecimal (14) 1d382c

pentadecimal (15) 15a39c

As an angle

1,047,072° = 2,908 × 360° + 192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零四萬七千零七十二
Chinese (financial): 壹佰零肆萬柒仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٤٧٠٧٢ Devanagari १०४७०७२ Bengali ১০৪৭০৭২ Tamil ௧௦௪௭௦௭௨ Thai ๑๐๔๗๐๗๒ Tibetan ༡༠༤༧༠༧༢ Khmer ១០៤៧០៧២ Lao ໑໐໔໗໐໗໒ Burmese ၁၀၄၇၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1047072, here are decompositions:

11 + 1047061 = 1047072
29 + 1047043 = 1047072
31 + 1047041 = 1047072
41 + 1047031 = 1047072
73 + 1046999 = 1047072
79 + 1046993 = 1047072
113 + 1046959 = 1047072
139 + 1046933 = 1047072

Showing the first eight; more decompositions exist.

Hex color

#0FFA20

RGB(15, 250, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.250.32.

Address: 0.15.250.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.250.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 7072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7072-04-01 (DMMYYYY (Euro, single-digit day))
7072-10-04 (MMDYYYY (US, single-digit day))
7072-04-10 (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 1,047,072 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 US1,047,072 on Google Patents ↗ Look up on USPTO ↗