Live analysis

1,016,172

1,016,172 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.).

1,016,172 (one million sixteen thousand one hundred seventy-two) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3³ × 97². Its proper divisors sum to 1,645,788, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF816C.

Abundant Number Achilles Number Evil Number Gapful Number Harshad / Niven Powerful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,016,160 1,016,161 1,016,162 1,016,163 1,016,164 1,016,165 1,016,166 1,016,167 1,016,168 1,016,169 1,016,170 1,016,171 1,016,172 1,016,173 1,016,174 1,016,175 1,016,176 1,016,177 1,016,178 1,016,179 1,016,180 1,016,181 1,016,182 1,016,183 1,016,184

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,716,101
Square (n²): 1,032,605,533,584
Cube (n³): 1,049,304,830,273,120,448
Divisor count: 36
σ(n) — sum of divisors: 2,661,960
φ(n) — Euler's totient: 335,232
Sum of prime factors: 207

Primality

Prime factorization: 2 ² × 3 ³ × 97 ²

Nearest primes: 1,016,159 (−13) · 1,016,173 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 97 · 108 · 194 · 291 · 388 · 582 · 873 · 1164 · 1746 · 2619 · 3492 · 5238 · 9409 · 10476 · 18818 · 28227 · 37636 · 56454 · 84681 · 112908 · 169362 · 254043 · 338724 · 508086 (half) · 1016172

Aliquot sum (sum of proper divisors): 1,645,788

Factor pairs (a × b = 1,016,172)

1 × 1016172

2 × 508086

3 × 338724

4 × 254043

6 × 169362

9 × 112908

12 × 84681

18 × 56454

27 × 37636

36 × 28227

54 × 18818

97 × 10476

108 × 9409

194 × 5238

291 × 3492

388 × 2619

582 × 1746

873 × 1164

First multiples

1,016,172 · 2,032,344 (double) · 3,048,516 · 4,064,688 · 5,080,860 · 6,097,032 · 7,113,204 · 8,129,376 · 9,145,548 · 10,161,720

Sums & aliquot sequence

As consecutive integers: 338,723 + 338,724 + 338,725 127,018 + 127,019 + … + 127,025 112,904 + 112,905 + … + 112,912 42,329 + 42,330 + … + 42,352

Aliquot sequence: 1,016,172 → 1,645,788 → 2,466,852 → 3,316,380 → 6,274,404 → 9,585,986 → 5,418,238 → 3,870,194 → 1,944,634 → 978,746 → 496,474 → 315,974 → 178,666 → 91,514 → 45,760 → 82,256 → 81,796 — unresolved within range

Continued fraction of √n

√1,016,172 = [1008; (18, 1, 2, 223, 1, 2, 18, 2, 1, 223, 2, 1, 18, 2016)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand one hundred seventy-two
Ordinal: 1016172nd
Binary: 11111000000101101100
Octal: 3700554
Hexadecimal: 0xF816C
Base64: D4Fs
One's complement: 4,293,951,123 (32-bit)
Scientific notation: 1.016172 × 10⁶
As a duration: 1,016,172 s = 11 days, 18 hours, 16 minutes, 12 seconds

In other bases

ternary (3) 1220121221000

quaternary (4) 3320011230

quinary (5) 230004142

senary (6) 33440300

septenary (7) 11431413

nonary (9) 1817830

undecimal (11) 634513

duodecimal (12) 410090

tridecimal (13) 2976b1

tetradecimal (14) 1c647a

pentadecimal (15) 15114c

As an angle

1,016,172° = 2,822 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬六千一百七十二
Chinese (financial): 壹佰零壹萬陸仟壹佰柒拾貳

In other modern scripts

Eastern Arabic ١٠١٦١٧٢ Devanagari १०१६१७२ Bengali ১০১৬১৭২ Tamil ௧௦௧௬௧௭௨ Thai ๑๐๑๖๑๗๒ Tibetan ༡༠༡༦༡༧༢ Khmer ១០១៦១៧២ Lao ໑໐໑໖໑໗໒ Burmese ၁၀၁၆၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016172, here are decompositions:

13 + 1016159 = 1016172
19 + 1016153 = 1016172
29 + 1016143 = 1016172
61 + 1016111 = 1016172
83 + 1016089 = 1016172
89 + 1016083 = 1016172
103 + 1016069 = 1016172
139 + 1016033 = 1016172

Showing the first eight; more decompositions exist.

Hex color

#0F816C

RGB(15, 129, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.108.

Address: 0.15.129.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.129.108

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 6172 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6172-10-01 (MMDYYYY (US, single-digit day))
6172-01-10 (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 1,016,172 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 US1,016,172 on Google Patents ↗ Look up on USPTO ↗