Live analysis

1,002,672

1,002,672 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.).

1,002,672 (one million two thousand six hundred seventy-two) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 11 × 211. Its proper divisors sum to 2,151,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4CB0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,660 1,002,661 1,002,662 1,002,663 1,002,664 1,002,665 1,002,666 1,002,667 1,002,668 1,002,669 1,002,670 1,002,671 1,002,672 1,002,673 1,002,674 1,002,675 1,002,676 1,002,677 1,002,678 1,002,679 1,002,680 1,002,681 1,002,682 1,002,683 1,002,684

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,762,001
Square (n²): 1,005,351,139,584
Cube (n³): 1,008,037,437,828,968,448
Divisor count: 80
σ(n) — sum of divisors: 3,154,560
φ(n) — Euler's totient: 302,400
Sum of prime factors: 239

Primality

Prime factorization: 2 ⁴ × 3 ³ × 11 × 211

Nearest primes: 1,002,653 (−19) · 1,002,679 (+7)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 27 · 33 · 36 · 44 · 48 · 54 · 66 · 72 · 88 · 99 · 108 · 132 · 144 · 176 · 198 · 211 · 216 · 264 · 297 · 396 · 422 · 432 · 528 · 594 · 633 · 792 · 844 · 1188 · 1266 · 1584 · 1688 · 1899 · 2321 · 2376 · 2532 · 3376 · 3798 · 4642 · 4752 · 5064 · 5697 · 6963 · 7596 · 9284 · 10128 · 11394 · 13926 · 15192 · 18568 · 20889 · 22788 · 27852 · 30384 · 37136 · 41778 · 45576 · 55704 · 62667 · 83556 · 91152 · 111408 · 125334 · 167112 · 250668 · 334224 · 501336 (half) · 1002672

Aliquot sum (sum of proper divisors): 2,151,888

Factor pairs (a × b = 1,002,672)

1 × 1002672

2 × 501336

3 × 334224

4 × 250668

6 × 167112

8 × 125334

9 × 111408

11 × 91152

12 × 83556

16 × 62667

18 × 55704

22 × 45576

24 × 41778

27 × 37136

33 × 30384

36 × 27852

44 × 22788

48 × 20889

54 × 18568

66 × 15192

72 × 13926

88 × 11394

99 × 10128

108 × 9284

132 × 7596

144 × 6963

176 × 5697

198 × 5064

211 × 4752

216 × 4642

264 × 3798

297 × 3376

396 × 2532

422 × 2376

432 × 2321

528 × 1899

594 × 1688

633 × 1584

792 × 1266

844 × 1188

First multiples

1,002,672 · 2,005,344 (double) · 3,008,016 · 4,010,688 · 5,013,360 · 6,016,032 · 7,018,704 · 8,021,376 · 9,024,048 · 10,026,720

Sums & aliquot sequence

As consecutive integers: 334,223 + 334,224 + 334,225 111,404 + 111,405 + … + 111,412 91,147 + 91,148 + … + 91,157 37,123 + 37,124 + … + 37,149

Aliquot sequence: 1,002,672 → 2,151,888 → 3,466,800 → 9,091,548 → 14,479,412 → 10,951,084 → 8,300,820 → 17,056,428 → 23,418,132 → 31,224,204 → 57,832,764 → 99,705,540 → 220,919,100 → 451,954,500 → 864,141,372 → 1,533,017,700 → 3,292,923,420 — unresolved within range

Continued fraction of √n

√1,002,672 = [1001; (2, 1, 61, 1, 11, 125, 11, 1, 61, 1, 2, 2002)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million two thousand six hundred seventy-two
Ordinal: 1002672nd
Binary: 11110100110010110000
Octal: 3646260
Hexadecimal: 0xF4CB0
Base64: D0yw
One's complement: 4,293,964,623 (32-bit)
Scientific notation: 1.002672 × 10⁶
As a duration: 1,002,672 s = 11 days, 14 hours, 31 minutes, 12 seconds

In other bases

ternary (3) 1212221102000

quaternary (4) 3310302300

quinary (5) 224041142

senary (6) 33254000

septenary (7) 11344146

nonary (9) 1787360

undecimal (11) 625360

duodecimal (12) 404300

tridecimal (13) 2914c8

tetradecimal (14) 1c1596

pentadecimal (15) 14c14c

As an angle

1,002,672° = 2,785 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千六百七十二
Chinese (financial): 壹佰萬貳仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٦٧٢ Devanagari १००२६७२ Bengali ১০০২৬৭২ Tamil ௧௦௦௨௬௭௨ Thai ๑๐๐๒๖๗๒ Tibetan ༡༠༠༢༦༧༢ Khmer ១០០២៦៧២ Lao ໑໐໐໒໖໗໒ Burmese ၁၀၀၂၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002672, here are decompositions:

19 + 1002653 = 1002672
53 + 1002619 = 1002672
89 + 1002583 = 1002672
103 + 1002569 = 1002672
149 + 1002523 = 1002672
179 + 1002493 = 1002672
191 + 1002481 = 1002672
239 + 1002433 = 1002672

Showing the first eight; more decompositions exist.

Hex color

#0F4CB0

RGB(15, 76, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.176.

Address: 0.15.76.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.176

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 1,002,672 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 US1,002,672 on Google Patents ↗ Look up on USPTO ↗