Live analysis

1,040,172

1,040,172 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.).

1,040,172 (one million forty thousand one hundred seventy-two) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 7² × 29 × 61. Its proper divisors sum to 1,928,388, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDF2C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,040,160 1,040,161 1,040,162 1,040,163 1,040,164 1,040,165 1,040,166 1,040,167 1,040,168 1,040,169 1,040,170 1,040,171 1,040,172 1,040,173 1,040,174 1,040,175 1,040,176 1,040,177 1,040,178 1,040,179 1,040,180 1,040,181 1,040,182 1,040,183 1,040,184

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,710,401
Square (n²): 1,081,957,789,584
Cube (n³): 1,125,422,197,907,168,448
Divisor count: 72
σ(n) — sum of divisors: 2,968,560
φ(n) — Euler's totient: 282,240
Sum of prime factors: 111

Primality

Prime factorization: 2 ² × 3 × 7 ² × 29 × 61

Nearest primes: 1,040,167 (−5) · 1,040,183 (+11)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 29 · 42 · 49 · 58 · 61 · 84 · 87 · 98 · 116 · 122 · 147 · 174 · 183 · 196 · 203 · 244 · 294 · 348 · 366 · 406 · 427 · 588 · 609 · 732 · 812 · 854 · 1218 · 1281 · 1421 · 1708 · 1769 · 2436 · 2562 · 2842 · 2989 · 3538 · 4263 · 5124 · 5307 · 5684 · 5978 · 7076 · 8526 · 8967 · 10614 · 11956 · 12383 · 17052 · 17934 · 21228 · 24766 · 35868 · 37149 · 49532 · 74298 · 86681 · 148596 · 173362 · 260043 · 346724 · 520086 (half) · 1040172

Aliquot sum (sum of proper divisors): 1,928,388

Factor pairs (a × b = 1,040,172)

1 × 1040172

2 × 520086

3 × 346724

4 × 260043

6 × 173362

7 × 148596

12 × 86681

14 × 74298

21 × 49532

28 × 37149

29 × 35868

42 × 24766

49 × 21228

58 × 17934

61 × 17052

84 × 12383

87 × 11956

98 × 10614

116 × 8967

122 × 8526

147 × 7076

174 × 5978

183 × 5684

196 × 5307

203 × 5124

244 × 4263

294 × 3538

348 × 2989

366 × 2842

406 × 2562

427 × 2436

588 × 1769

609 × 1708

732 × 1421

812 × 1281

854 × 1218

First multiples

1,040,172 · 2,080,344 (double) · 3,120,516 · 4,160,688 · 5,200,860 · 6,241,032 · 7,281,204 · 8,321,376 · 9,361,548 · 10,401,720

Sums & aliquot sequence

As consecutive integers: 346,723 + 346,724 + 346,725 148,593 + 148,594 + … + 148,599 130,018 + 130,019 + … + 130,025 49,522 + 49,523 + … + 49,542

Aliquot sequence: 1,040,172 → 1,928,388 → 3,684,156 → 6,315,204 → 10,525,564 → 10,610,404 → 11,767,196 → 13,634,404 → 13,634,460 → 34,857,060 → 77,635,740 → 195,572,580 → 430,261,020 → 1,061,314,884 → 2,136,759,996 → 3,561,266,884 → 3,695,785,016 — unresolved within range

Continued fraction of √n

√1,040,172 = [1019; (1, 7, 1, 17, 1, 4, 1, 2, 2, 1, 2, 2, 1, 22, 2, 9, 1, 11, 6, 16, 1, 2, 3, 1, …)]

Representations

In words: one million forty thousand one hundred seventy-two
Ordinal: 1040172nd
Binary: 11111101111100101100
Octal: 3757454
Hexadecimal: 0xFDF2C
Base64: D98s
One's complement: 4,293,927,123 (32-bit)
Scientific notation: 1.040172 × 10⁶
As a duration: 1,040,172 s = 12 days, 56 minutes, 12 seconds

In other bases

ternary (3) 1221211211220

quaternary (4) 3331330230

quinary (5) 231241142

senary (6) 34143340

septenary (7) 11561400

nonary (9) 1854756

undecimal (11) 650551

duodecimal (12) 421b50

tridecimal (13) 2a55b3

tetradecimal (14) 1d1100

pentadecimal (15) 1582ec

As an angle

1,040,172° = 2,889 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零四萬零一百七十二
Chinese (financial): 壹佰零肆萬零壹佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٤٠١٧٢ Devanagari १०४०१७२ Bengali ১০৪০১৭২ Tamil ௧௦௪௦௧௭௨ Thai ๑๐๔๐๑๗๒ Tibetan ༡༠༤༠༡༧༢ Khmer ១០៤០១៧២ Lao ໑໐໔໐໑໗໒ Burmese ၁၀၄၀၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040172, here are decompositions:

5 + 1040167 = 1040172
11 + 1040161 = 1040172
13 + 1040159 = 1040172
19 + 1040153 = 1040172
31 + 1040141 = 1040172
53 + 1040119 = 1040172
59 + 1040113 = 1040172
71 + 1040101 = 1040172

Showing the first eight; more decompositions exist.

Hex color

#0FDF2C

RGB(15, 223, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.223.44.

Address: 0.15.223.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.223.44

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 0172 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0172-04-01 (DMMYYYY (Euro, single-digit day))
0172-10-04 (MMDYYYY (US, single-digit day))
0172-04-10 (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 1,040,172 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,040,172 on Google Patents ↗ Look up on USPTO ↗