Live analysis

1,002,352

1,002,352 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.).

1,002,352 (one million two thousand three hundred fifty-two) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 61 × 79. Its proper divisors sum to 1,150,288, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4B70.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,340 1,002,341 1,002,342 1,002,343 1,002,344 1,002,345 1,002,346 1,002,347 1,002,348 1,002,349 1,002,350 1,002,351 1,002,352 1,002,353 1,002,354 1,002,355 1,002,356 1,002,357 1,002,358 1,002,359 1,002,360 1,002,361 1,002,362 1,002,363 1,002,364

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 2,532,001
Square (n²): 1,004,709,531,904
Cube (n³): 1,007,072,608,723,038,208
Divisor count: 40
σ(n) — sum of divisors: 2,152,640
φ(n) — Euler's totient: 449,280
Sum of prime factors: 161

Primality

Prime factorization: 2 ⁴ × 13 × 61 × 79

Nearest primes: 1,002,349 (−3) · 1,002,359 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 61 · 79 · 104 · 122 · 158 · 208 · 244 · 316 · 488 · 632 · 793 · 976 · 1027 · 1264 · 1586 · 2054 · 3172 · 4108 · 4819 · 6344 · 8216 · 9638 · 12688 · 16432 · 19276 · 38552 · 62647 · 77104 · 125294 · 250588 · 501176 (half) · 1002352

Aliquot sum (sum of proper divisors): 1,150,288

Factor pairs (a × b = 1,002,352)

1 × 1002352

2 × 501176

4 × 250588

8 × 125294

13 × 77104

16 × 62647

26 × 38552

52 × 19276

61 × 16432

79 × 12688

104 × 9638

122 × 8216

158 × 6344

208 × 4819

244 × 4108

316 × 3172

488 × 2054

632 × 1586

793 × 1264

976 × 1027

First multiples

1,002,352 · 2,004,704 (double) · 3,007,056 · 4,009,408 · 5,011,760 · 6,014,112 · 7,016,464 · 8,018,816 · 9,021,168 · 10,023,520

Sums & aliquot sequence

As consecutive integers: 77,098 + 77,099 + … + 77,110 31,308 + 31,309 + … + 31,339 16,402 + 16,403 + … + 16,462 12,649 + 12,650 + … + 12,727

Aliquot sequence: 1,002,352 → 1,150,288 → 1,210,052 → 907,546 → 460,454 → 230,230 → 350,378 → 271,702 → 135,854 → 67,930 → 54,362 → 47,590 → 38,090 → 35,998 → 19,442 → 9,724 → 11,444 — unresolved within range

Continued fraction of √n

√1,002,352 = [1001; (5, 1, 2, 2, 1, 1, 1, 2, 8, 1, 1, 3, 1, 3, 166, 1, 1, 2, 19, 24, 1, 2, 51, 222, …)]

Representations

In words: one million two thousand three hundred fifty-two
Ordinal: 1002352nd
Binary: 11110100101101110000
Octal: 3645560
Hexadecimal: 0xF4B70
Base64: D0tw
One's complement: 4,293,964,943 (32-bit)
Scientific notation: 1.002352 × 10⁶
As a duration: 1,002,352 s = 11 days, 14 hours, 25 minutes, 52 seconds

In other bases

ternary (3) 1212220222011

quaternary (4) 3310231300

quinary (5) 224033402

senary (6) 33252304

septenary (7) 11343211

nonary (9) 1786864

undecimal (11) 62509a

duodecimal (12) 404094

tridecimal (13) 291310

tetradecimal (14) 1c1408

pentadecimal (15) 14bed7

As an angle

1,002,352° = 2,784 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千三百五十二
Chinese (financial): 壹佰萬貳仟參佰伍拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٣٥٢ Devanagari १००२३५२ Bengali ১০০২৩৫২ Tamil ௧௦௦௨௩௫௨ Thai ๑๐๐๒๓๕๒ Tibetan ༡༠༠༢༣༥༢ Khmer ១០០២៣៥២ Lao ໑໐໐໒໓໕໒ Burmese ၁၀၀၂၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002352, here are decompositions:

3 + 1002349 = 1002352
5 + 1002347 = 1002352
11 + 1002341 = 1002352
53 + 1002299 = 1002352
89 + 1002263 = 1002352
179 + 1002173 = 1002352
251 + 1002101 = 1002352
269 + 1002083 = 1002352

Showing the first eight; more decompositions exist.

Hex color

#0F4B70

RGB(15, 75, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.112.

Address: 0.15.75.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.112

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 1,002,352 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 US1,002,352 on Google Patents ↗ Look up on USPTO ↗