Live analysis

1,016,072

1,016,072 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.).

1,016,072 (one million sixteen thousand seventy-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 107 × 1,187. Written other ways, in hexadecimal, 0xF8108.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Self Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,016,060 1,016,061 1,016,062 1,016,063 1,016,064 1,016,065 1,016,066 1,016,067 1,016,068 1,016,069 1,016,070 1,016,071 1,016,072 1,016,073 1,016,074 1,016,075 1,016,076 1,016,077 1,016,078 1,016,079 1,016,080 1,016,081 1,016,082 1,016,083 1,016,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 2,706,101
Recamán's sequence: a(365,847) = 1,016,072
Square (n²): 1,032,402,309,184
Cube (n³): 1,048,995,079,097,205,248
Divisor count: 16
σ(n) — sum of divisors: 1,924,560
φ(n) — Euler's totient: 502,864
Sum of prime factors: 1,300

Primality

Prime factorization: 2 ³ × 107 × 1187

Nearest primes: 1,016,069 (−3) · 1,016,083 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 107 · 214 · 428 · 856 · 1187 · 2374 · 4748 · 9496 · 127009 · 254018 · 508036 (half) · 1016072

Aliquot sum (sum of proper divisors): 908,488

Factor pairs (a × b = 1,016,072)

1 × 1016072

2 × 508036

4 × 254018

8 × 127009

107 × 9496

214 × 4748

428 × 2374

856 × 1187

First multiples

1,016,072 · 2,032,144 (double) · 3,048,216 · 4,064,288 · 5,080,360 · 6,096,432 · 7,112,504 · 8,128,576 · 9,144,648 · 10,160,720

Sums & aliquot sequence

As consecutive integers: 63,497 + 63,498 + … + 63,512 9,443 + 9,444 + … + 9,549 263 + 264 + … + 1,449

Aliquot sequence: 1,016,072 → 908,488 → 1,038,392 → 919,648 → 955,232 → 925,444 → 876,923 → 2,725 → 685 → 143 → 25 → 6 → 6 — reaches a perfect number

Continued fraction of √n

√1,016,072 = [1008; (252, 2016)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand seventy-two
Ordinal: 1016072nd
Binary: 11111000000100001000
Octal: 3700410
Hexadecimal: 0xF8108
Base64: D4EI
One's complement: 4,293,951,223 (32-bit)
Scientific notation: 1.016072 × 10⁶
As a duration: 1,016,072 s = 11 days, 18 hours, 14 minutes, 32 seconds

In other bases

ternary (3) 1220121210022

quaternary (4) 3320010020

quinary (5) 230003242

senary (6) 33440012

septenary (7) 11431211

nonary (9) 1817708

undecimal (11) 634432

duodecimal (12) 410008

tridecimal (13) 297635

tetradecimal (14) 1c6408

pentadecimal (15) 1510d2

As an angle

1,016,072° = 2,822 × 360° + 152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬六千零七十二
Chinese (financial): 壹佰零壹萬陸仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠١٦٠٧٢ Devanagari १०१६०७२ Bengali ১০১৬০৭২ Tamil ௧௦௧௬௦௭௨ Thai ๑๐๑๖๐๗๒ Tibetan ༡༠༡༦༠༧༢ Khmer ១០១៦០៧២ Lao ໑໐໑໖໐໗໒ Burmese ၁၀၁၆၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016072, here are decompositions:

3 + 1016069 = 1016072
19 + 1016053 = 1016072
61 + 1016011 = 1016072
181 + 1015891 = 1016072
229 + 1015843 = 1016072
349 + 1015723 = 1016072
523 + 1015549 = 1016072
571 + 1015501 = 1016072

Showing the first eight; more decompositions exist.

Hex color

#0F8108

RGB(15, 129, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.8.

Address: 0.15.129.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.129.8

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 6072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6072-10-01 (MMDYYYY (US, single-digit day))
6072-01-10 (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 1,016,072 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 US1,016,072 on Google Patents ↗ Look up on USPTO ↗