Live analysis

1,013,172

1,013,172 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.).

1,013,172 (one million thirteen thousand one hundred seventy-two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 84,431. Its proper divisors sum to 1,350,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF75B4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,160 1,013,161 1,013,162 1,013,163 1,013,164 1,013,165 1,013,166 1,013,167 1,013,168 1,013,169 1,013,170 1,013,171 1,013,172 1,013,173 1,013,174 1,013,175 1,013,176 1,013,177 1,013,178 1,013,179 1,013,180 1,013,181 1,013,182 1,013,183 1,013,184

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,713,101
Square (n²): 1,026,517,501,584
Cube (n³): 1,040,038,790,114,864,448
Divisor count: 12
σ(n) — sum of divisors: 2,364,096
φ(n) — Euler's totient: 337,720
Sum of prime factors: 84,438

Primality

Prime factorization: 2 ² × 3 × 84431

Nearest primes: 1,013,153 (−19) · 1,013,197 (+25)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 84431 · 168862 · 253293 · 337724 · 506586 (half) · 1013172

Aliquot sum (sum of proper divisors): 1,350,924

Factor pairs (a × b = 1,013,172)

1 × 1013172

2 × 506586

3 × 337724

4 × 253293

6 × 168862

12 × 84431

First multiples

1,013,172 · 2,026,344 (double) · 3,039,516 · 4,052,688 · 5,065,860 · 6,079,032 · 7,092,204 · 8,105,376 · 9,118,548 · 10,131,720

Sums & aliquot sequence

As consecutive integers: 337,723 + 337,724 + 337,725 126,643 + 126,644 + … + 126,650 42,204 + 42,205 + … + 42,227

Aliquot sequence: 1,013,172 → 1,350,924 → 1,801,260 → 3,663,108 → 5,700,792 → 8,641,608 → 13,567,272 → 20,350,968 → 35,618,952 → 54,506,328 → 85,444,632 → 228,552,408 → 507,575,592 → 985,416,408 → 1,751,851,992 → 3,137,068,968 → 5,713,617,432 — unresolved within range

Continued fraction of √n

√1,013,172 = [1006; (1, 1, 3, 2, 1, 1, 1, 3, 1, 1, 3, 1, 16, 1, 1, 2, 1, 7, 1, 3, 1, 1, 12, 9, …)]

Representations

In words: one million thirteen thousand one hundred seventy-two
Ordinal: 1013172nd
Binary: 11110111010110110100
Octal: 3672664
Hexadecimal: 0xF75B4
Base64: D3W0
One's complement: 4,293,954,123 (32-bit)
Scientific notation: 1.013172 × 10⁶
As a duration: 1,013,172 s = 11 days, 17 hours, 26 minutes, 12 seconds

In other bases

ternary (3) 1220110210220

quaternary (4) 3313112310

quinary (5) 224410142

senary (6) 33414340

septenary (7) 11416566

nonary (9) 1813726

undecimal (11) 632236

duodecimal (12) 40a3b0

tridecimal (13) 296214

tetradecimal (14) 1c5336

pentadecimal (15) 1502ec

Palindromic in base 11

As an angle

1,013,172° = 2,814 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千一百七十二
Chinese (financial): 壹佰零壹萬參仟壹佰柒拾貳

In other modern scripts

Eastern Arabic ١٠١٣١٧٢ Devanagari १०१३१७२ Bengali ১০১৩১৭২ Tamil ௧௦௧௩௧௭௨ Thai ๑๐๑๓๑๗๒ Tibetan ༡༠༡༣༡༧༢ Khmer ១០១៣១៧២ Lao ໑໐໑໓໑໗໒ Burmese ၁၀၁၃၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013172, here are decompositions:

19 + 1013153 = 1013172
29 + 1013143 = 1013172
109 + 1013063 = 1013172
131 + 1013041 = 1013172
163 + 1013009 = 1013172
179 + 1012993 = 1013172
191 + 1012981 = 1013172
241 + 1012931 = 1013172

Showing the first eight; more decompositions exist.

Hex color

#0F75B4

RGB(15, 117, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.180.

Address: 0.15.117.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.180

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3172 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3172-10-01 (MMDYYYY (US, single-digit day))
3172-01-10 (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 1,013,172 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 US1,013,172 on Google Patents ↗ Look up on USPTO ↗