Live analysis

1,002,320

1,002,320 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.).

1,002,320 (one million two thousand three hundred twenty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 11 × 17 × 67. Its proper divisors sum to 1,729,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4B50.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,308 1,002,309 1,002,310 1,002,311 1,002,312 1,002,313 1,002,314 1,002,315 1,002,316 1,002,317 1,002,318 1,002,319 1,002,320 1,002,321 1,002,322 1,002,323 1,002,324 1,002,325 1,002,326 1,002,327 1,002,328 1,002,329 1,002,330 1,002,331 1,002,332

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 232,001
Square (n²): 1,004,645,382,400
Cube (n³): 1,006,976,159,687,168,000
Divisor count: 80
σ(n) — sum of divisors: 2,731,968
φ(n) — Euler's totient: 337,920
Sum of prime factors: 108

Primality

Prime factorization: 2 ⁴ × 5 × 11 × 17 × 67

Nearest primes: 1,002,299 (−21) · 1,002,341 (+21)

Divisors & multiples

All divisors (80)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 17 · 20 · 22 · 34 · 40 · 44 · 55 · 67 · 68 · 80 · 85 · 88 · 110 · 134 · 136 · 170 · 176 · 187 · 220 · 268 · 272 · 335 · 340 · 374 · 440 · 536 · 670 · 680 · 737 · 748 · 880 · 935 · 1072 · 1139 · 1340 · 1360 · 1474 · 1496 · 1870 · 2278 · 2680 · 2948 · 2992 · 3685 · 3740 · 4556 · 5360 · 5695 · 5896 · 7370 · 7480 · 9112 · 11390 · 11792 · 12529 · 14740 · 14960 · 18224 · 22780 · 25058 · 29480 · 45560 · 50116 · 58960 · 62645 · 91120 · 100232 · 125290 · 200464 · 250580 · 501160 (half) · 1002320

Aliquot sum (sum of proper divisors): 1,729,648

Factor pairs (a × b = 1,002,320)

1 × 1002320

2 × 501160

4 × 250580

5 × 200464

8 × 125290

10 × 100232

11 × 91120

16 × 62645

17 × 58960

20 × 50116

22 × 45560

34 × 29480

40 × 25058

44 × 22780

55 × 18224

67 × 14960

68 × 14740

80 × 12529

85 × 11792

88 × 11390

110 × 9112

134 × 7480

136 × 7370

170 × 5896

176 × 5695

187 × 5360

220 × 4556

268 × 3740

272 × 3685

335 × 2992

340 × 2948

374 × 2680

440 × 2278

536 × 1870

670 × 1496

680 × 1474

737 × 1360

748 × 1340

880 × 1139

935 × 1072

First multiples

1,002,320 · 2,004,640 (double) · 3,006,960 · 4,009,280 · 5,011,600 · 6,013,920 · 7,016,240 · 8,018,560 · 9,020,880 · 10,023,200

Sums & aliquot sequence

As consecutive integers: 200,462 + 200,463 + 200,464 + 200,465 + 200,466 91,115 + 91,116 + … + 91,125 58,952 + 58,953 + … + 58,968 31,307 + 31,308 + … + 31,338

Aliquot sequence: 1,002,320 → 1,729,648 → 1,819,232 → 1,796,968 → 1,839,392 → 1,861,984 → 1,924,064 → 1,864,000 → 2,772,008 → 2,425,522 → 1,543,550 → 1,327,546 → 844,838 → 426,322 → 299,438 → 176,194 → 95,354 — unresolved within range

Continued fraction of √n

√1,002,320 = [1001; (6, 3, 1, 1, 1, 1, 1, 1, 1, 3, 6, 2002)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million two thousand three hundred twenty
Ordinal: 1002320th
Binary: 11110100101101010000
Octal: 3645520
Hexadecimal: 0xF4B50
Base64: D0tQ
One's complement: 4,293,964,975 (32-bit)
Scientific notation: 1.00232 × 10⁶
As a duration: 1,002,320 s = 11 days, 14 hours, 25 minutes, 20 seconds

In other bases

ternary (3) 1212220220222

quaternary (4) 3310231100

quinary (5) 224033240

senary (6) 33252212

septenary (7) 11343134

nonary (9) 1786828

undecimal (11) 625070

duodecimal (12) 404068

tridecimal (13) 2912b7

tetradecimal (14) 1c13c4

pentadecimal (15) 14beb5

As an angle

1,002,320° = 2,784 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬二千三百二十
Chinese (financial): 壹佰萬貳仟參佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٢٣٢٠ Devanagari १००२३२० Bengali ১০০২৩২০ Tamil ௧௦௦௨௩௨௦ Thai ๑๐๐๒๓๒๐ Tibetan ༡༠༠༢༣༢༠ Khmer ១០០២៣២០ Lao ໑໐໐໒໓໒໐ Burmese ၁၀၀၂၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002320, here are decompositions:

31 + 1002289 = 1002320
61 + 1002259 = 1002320
73 + 1002247 = 1002320
79 + 1002241 = 1002320
199 + 1002121 = 1002320
211 + 1002109 = 1002320
229 + 1002091 = 1002320
271 + 1002049 = 1002320

Showing the first eight; more decompositions exist.

Hex color

#0F4B50

RGB(15, 75, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.80.

Address: 0.15.75.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.80

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 1,002,320 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 US1,002,320 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002320 first appears in π at position 310,617 of the decimal expansion (the 310,617ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1002320 on Pi Search ↗