Live analysis

1,004,172

1,004,172 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.).

1,004,172 (one million four thousand one hundred seventy-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 13 × 41 × 157. Its proper divisors sum to 1,597,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF528C.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,160 1,004,161 1,004,162 1,004,163 1,004,164 1,004,165 1,004,166 1,004,167 1,004,168 1,004,169 1,004,170 1,004,171 1,004,172 1,004,173 1,004,174 1,004,175 1,004,176 1,004,177 1,004,178 1,004,179 1,004,180 1,004,181 1,004,182 1,004,183 1,004,184

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,714,001
Square (n²): 1,008,361,405,584
Cube (n³): 1,012,568,289,368,096,448
Divisor count: 48
σ(n) — sum of divisors: 2,601,312
φ(n) — Euler's totient: 299,520
Sum of prime factors: 218

Primality

Prime factorization: 2 ² × 3 × 13 × 41 × 157

Nearest primes: 1,004,167 (−5) · 1,004,209 (+37)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 41 · 52 · 78 · 82 · 123 · 156 · 157 · 164 · 246 · 314 · 471 · 492 · 533 · 628 · 942 · 1066 · 1599 · 1884 · 2041 · 2132 · 3198 · 4082 · 6123 · 6396 · 6437 · 8164 · 12246 · 12874 · 19311 · 24492 · 25748 · 38622 · 77244 · 83681 · 167362 · 251043 · 334724 · 502086 (half) · 1004172

Aliquot sum (sum of proper divisors): 1,597,140

Factor pairs (a × b = 1,004,172)

1 × 1004172

2 × 502086

3 × 334724

4 × 251043

6 × 167362

12 × 83681

13 × 77244

26 × 38622

39 × 25748

41 × 24492

52 × 19311

78 × 12874

82 × 12246

123 × 8164

156 × 6437

157 × 6396

164 × 6123

246 × 4082

314 × 3198

471 × 2132

492 × 2041

533 × 1884

628 × 1599

942 × 1066

First multiples

1,004,172 · 2,008,344 (double) · 3,012,516 · 4,016,688 · 5,020,860 · 6,025,032 · 7,029,204 · 8,033,376 · 9,037,548 · 10,041,720

Sums & aliquot sequence

As consecutive integers: 334,723 + 334,724 + 334,725 125,518 + 125,519 + … + 125,525 77,238 + 77,239 + … + 77,250 41,829 + 41,830 + … + 41,852

Aliquot sequence: 1,004,172 → 1,597,140 → 3,513,420 → 7,297,380 → 15,189,084 → 24,245,220 → 46,597,020 → 86,096,100 → 163,009,484 → 148,190,524 → 115,703,876 → 90,598,696 → 79,472,504 → 69,538,456 → 75,411,944 → 65,985,466 → 38,815,034 — unresolved within range

Continued fraction of √n

√1,004,172 = [1002; (11, 1, 13, 10, 6, 1, 1, 16, 39, 4, 4, 1, 1, 6, 1, 2, 6, 1, 1, 1, 2, 1, 3, 1, …)]

Representations

In words: one million four thousand one hundred seventy-two
Ordinal: 1004172nd
Binary: 11110101001010001100
Octal: 3651214
Hexadecimal: 0xF528C
Base64: D1KM
One's complement: 4,293,963,123 (32-bit)
Scientific notation: 1.004172 × 10⁶
As a duration: 1,004,172 s = 11 days, 14 hours, 56 minutes, 12 seconds

In other bases

ternary (3) 1220000110120

quaternary (4) 3311022030

quinary (5) 224113142

senary (6) 33304540

septenary (7) 11351421

nonary (9) 1800416

undecimal (11) 6264a4

duodecimal (12) 405150

tridecimal (13) 2920b0

tetradecimal (14) 1c1d48

pentadecimal (15) 14c7ec

As an angle

1,004,172° = 2,789 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬四千一百七十二
Chinese (financial): 壹佰萬肆仟壹佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٤١٧٢ Devanagari १००४१७२ Bengali ১০০৪১৭২ Tamil ௧௦௦௪௧௭௨ Thai ๑๐๐๔๑๗๒ Tibetan ༡༠༠༤༡༧༢ Khmer ១០០៤១៧២ Lao ໑໐໐໔໑໗໒ Burmese ၁၀၀၄၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004172, here are decompositions:

5 + 1004167 = 1004172
11 + 1004161 = 1004172
31 + 1004141 = 1004172
53 + 1004119 = 1004172
83 + 1004089 = 1004172
109 + 1004063 = 1004172
139 + 1004033 = 1004172
229 + 1003943 = 1004172

Showing the first eight; more decompositions exist.

Hex color

#0F528C

RGB(15, 82, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.140.

Address: 0.15.82.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.140

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 1,004,172 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 US1,004,172 on Google Patents ↗ Look up on USPTO ↗