Live analysis

1,008,072

1,008,072 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.).

1,008,072 (one million eight thousand seventy-two) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 13 × 359. Its proper divisors sum to 2,015,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61C8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,008,060 1,008,061 1,008,062 1,008,063 1,008,064 1,008,065 1,008,066 1,008,067 1,008,068 1,008,069 1,008,070 1,008,071 1,008,072 1,008,073 1,008,074 1,008,075 1,008,076 1,008,077 1,008,078 1,008,079 1,008,080 1,008,081 1,008,082 1,008,083 1,008,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,708,001
Recamán's sequence: a(349,307) = 1,008,072
Square (n²): 1,016,209,157,184
Cube (n³): 1,024,411,997,500,789,248
Divisor count: 64
σ(n) — sum of divisors: 3,024,000
φ(n) — Euler's totient: 309,312
Sum of prime factors: 387

Primality

Prime factorization: 2 ³ × 3 ³ × 13 × 359

Nearest primes: 1,008,043 (−29) · 1,008,101 (+29)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 27 · 36 · 39 · 52 · 54 · 72 · 78 · 104 · 108 · 117 · 156 · 216 · 234 · 312 · 351 · 359 · 468 · 702 · 718 · 936 · 1077 · 1404 · 1436 · 2154 · 2808 · 2872 · 3231 · 4308 · 4667 · 6462 · 8616 · 9334 · 9693 · 12924 · 14001 · 18668 · 19386 · 25848 · 28002 · 37336 · 38772 · 42003 · 56004 · 77544 · 84006 · 112008 · 126009 · 168012 · 252018 · 336024 · 504036 (half) · 1008072

Aliquot sum (sum of proper divisors): 2,015,928

Factor pairs (a × b = 1,008,072)

1 × 1008072

2 × 504036

3 × 336024

4 × 252018

6 × 168012

8 × 126009

9 × 112008

12 × 84006

13 × 77544

18 × 56004

24 × 42003

26 × 38772

27 × 37336

36 × 28002

39 × 25848

52 × 19386

54 × 18668

72 × 14001

78 × 12924

104 × 9693

108 × 9334

117 × 8616

156 × 6462

216 × 4667

234 × 4308

312 × 3231

351 × 2872

359 × 2808

468 × 2154

702 × 1436

718 × 1404

936 × 1077

First multiples

1,008,072 · 2,016,144 (double) · 3,024,216 · 4,032,288 · 5,040,360 · 6,048,432 · 7,056,504 · 8,064,576 · 9,072,648 · 10,080,720

Sums & aliquot sequence

As consecutive integers: 336,023 + 336,024 + 336,025 112,004 + 112,005 + … + 112,012 77,538 + 77,539 + … + 77,550 62,997 + 62,998 + … + 63,012

Aliquot sequence: 1,008,072 → 2,015,928 → 4,077,432 → 7,538,568 → 11,307,912 → 25,325,688 → 38,149,512 → 57,224,328 → 107,911,032 → 188,440,968 → 282,661,512 → 524,943,288 → 933,233,112 → 1,960,130,088 → 4,140,742,872 → 7,948,552,488 → 11,922,828,792 — keeps growing

Continued fraction of √n

√1,008,072 = [1004; (35, 1, 6, 40, 1, 5, 6, 1, 4, 1, 6, 5, 1, 40, 6, 1, 35, 2008)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand seventy-two
Ordinal: 1008072nd
Binary: 11110110000111001000
Octal: 3660710
Hexadecimal: 0xF61C8
Base64: D2HI
One's complement: 4,293,959,223 (32-bit)
Scientific notation: 1.008072 × 10⁶
As a duration: 1,008,072 s = 11 days, 16 hours, 1 minute, 12 seconds

In other bases

ternary (3) 1220012211000

quaternary (4) 3312013020

quinary (5) 224224242

senary (6) 33335000

septenary (7) 11365662

nonary (9) 1805730

undecimal (11) 62941a

duodecimal (12) 407460

tridecimal (13) 293ac0

tetradecimal (14) 1c3532

pentadecimal (15) 14da4c

As an angle

1,008,072° = 2,800 × 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 𒌋𒌋𒌋𒌋 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬八千零七十二
Chinese (financial): 壹佰萬捌仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٨٠٧٢ Devanagari १००८०७२ Bengali ১০০৮০৭২ Tamil ௧௦௦௮௦௭௨ Thai ๑๐๐๘๐๗๒ Tibetan ༡༠༠༨༠༧༢ Khmer ១០០៨០៧២ Lao ໑໐໐໘໐໗໒ Burmese ၁၀၀၈၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008072, here are decompositions:

29 + 1008043 = 1008072
31 + 1008041 = 1008072
41 + 1008031 = 1008072
59 + 1008013 = 1008072
71 + 1008001 = 1008072
101 + 1007971 = 1008072
113 + 1007959 = 1008072
139 + 1007933 = 1008072

Showing the first eight; more decompositions exist.

Hex color

#0F61C8

RGB(15, 97, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.200.

Address: 0.15.97.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.200

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 1,008,072 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 US1,008,072 on Google Patents ↗ Look up on USPTO ↗