Live analysis

1,017,072

1,017,072 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.).

1,017,072 (one million seventeen thousand seventy-two) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 7 × 1,009. Its proper divisors sum to 2,239,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF84F0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Pronic / Oblong Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,017,060 1,017,061 1,017,062 1,017,063 1,017,064 1,017,065 1,017,066 1,017,067 1,017,068 1,017,069 1,017,070 1,017,071 1,017,072 1,017,073 1,017,074 1,017,075 1,017,076 1,017,077 1,017,078 1,017,079 1,017,080 1,017,081 1,017,082 1,017,083 1,017,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,707,101
Square (n²): 1,034,435,453,184
Cube (n³): 1,052,095,335,240,757,248
Divisor count: 60
σ(n) — sum of divisors: 3,256,240
φ(n) — Euler's totient: 290,304
Sum of prime factors: 1,030

Primality

Prime factorization: 2 ⁴ × 3 ² × 7 × 1009

Nearest primes: 1,017,061 (−11) · 1,017,077 (+5)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 28 · 36 · 42 · 48 · 56 · 63 · 72 · 84 · 112 · 126 · 144 · 168 · 252 · 336 · 504 · 1008 · 1009 · 2018 · 3027 · 4036 · 6054 · 7063 · 8072 · 9081 · 12108 · 14126 · 16144 · 18162 · 21189 · 24216 · 28252 · 36324 · 42378 · 48432 · 56504 · 63567 · 72648 · 84756 · 113008 · 127134 · 145296 · 169512 · 254268 · 339024 · 508536 (half) · 1017072

Aliquot sum (sum of proper divisors): 2,239,168

Factor pairs (a × b = 1,017,072)

1 × 1017072

2 × 508536

3 × 339024

4 × 254268

6 × 169512

7 × 145296

8 × 127134

9 × 113008

12 × 84756

14 × 72648

16 × 63567

18 × 56504

21 × 48432

24 × 42378

28 × 36324

36 × 28252

42 × 24216

48 × 21189

56 × 18162

63 × 16144

72 × 14126

84 × 12108

112 × 9081

126 × 8072

144 × 7063

168 × 6054

252 × 4036

336 × 3027

504 × 2018

1008 × 1009

First multiples

1,017,072 · 2,034,144 (double) · 3,051,216 · 4,068,288 · 5,085,360 · 6,102,432 · 7,119,504 · 8,136,576 · 9,153,648 · 10,170,720

Sums & aliquot sequence

As consecutive integers: 339,023 + 339,024 + 339,025 145,293 + 145,294 + … + 145,299 113,004 + 113,005 + … + 113,012 48,422 + 48,423 + … + 48,442

Aliquot sequence: 1,017,072 → 2,239,168 → 2,287,112 → 2,339,608 → 2,305,472 → 2,943,184 → 2,759,266 → 1,379,636 → 1,034,734 → 517,370 → 605,830 → 508,730 → 407,002 → 207,194 → 129,892 → 129,948 → 272,244 — unresolved within range

Continued fraction of √n

√1,017,072 = [1008; (2, 2016)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million seventeen thousand seventy-two
Ordinal: 1017072nd
Binary: 11111000010011110000
Octal: 3702360
Hexadecimal: 0xF84F0
Base64: D4Tw
One's complement: 4,293,950,223 (32-bit)
Scientific notation: 1.017072 × 10⁶
As a duration: 1,017,072 s = 11 days, 18 hours, 31 minutes, 12 seconds

In other bases

ternary (3) 1220200011100

quaternary (4) 3320103300

quinary (5) 230021242

senary (6) 33444400

septenary (7) 11434140

nonary (9) 1820140

undecimal (11) 635161

duodecimal (12) 410700

tridecimal (13) 297c24

tetradecimal (14) 1c6920

pentadecimal (15) 15154c

As an angle

1,017,072° = 2,825 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬七千零七十二
Chinese (financial): 壹佰零壹萬柒仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠١٧٠٧٢ Devanagari १०१७०७२ Bengali ১০১৭০৭২ Tamil ௧௦௧௭௦௭௨ Thai ๑๐๑๗๐๗๒ Tibetan ༡༠༡༧༠༧༢ Khmer ១០១៧០៧២ Lao ໑໐໑໗໐໗໒ Burmese ၁၀၁၇၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1017072, here are decompositions:

11 + 1017061 = 1017072
29 + 1017043 = 1017072
31 + 1017041 = 1017072
41 + 1017031 = 1017072
61 + 1017011 = 1017072
101 + 1016971 = 1017072
113 + 1016959 = 1017072
131 + 1016941 = 1017072

Showing the first eight; more decompositions exist.

Hex color

#0F84F0

RGB(15, 132, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.132.240.

Address: 0.15.132.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.132.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 7072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

7072-10-01 (MMDYYYY (US, single-digit day))
7072-01-10 (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 1,017,072 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 US1,017,072 on Google Patents ↗ Look up on USPTO ↗