Live analysis

1,001,352

1,001,352 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.).

1,001,352 (one million one thousand three hundred fifty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 11 × 3,793. Its proper divisors sum to 1,730,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4788.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,340 1,001,341 1,001,342 1,001,343 1,001,344 1,001,345 1,001,346 1,001,347 1,001,348 1,001,349 1,001,350 1,001,351 1,001,352 1,001,353 1,001,354 1,001,355 1,001,356 1,001,357 1,001,358 1,001,359 1,001,360 1,001,361 1,001,362 1,001,363 1,001,364

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,531,001
Square (n²): 1,002,705,827,904
Cube (n³): 1,004,061,486,183,326,208
Divisor count: 32
σ(n) — sum of divisors: 2,731,680
φ(n) — Euler's totient: 303,360
Sum of prime factors: 3,813

Primality

Prime factorization: 2 ³ × 3 × 11 × 3793

Nearest primes: 1,001,347 (−5) · 1,001,353 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 44 · 66 · 88 · 132 · 264 · 3793 · 7586 · 11379 · 15172 · 22758 · 30344 · 41723 · 45516 · 83446 · 91032 · 125169 · 166892 · 250338 · 333784 · 500676 (half) · 1001352

Aliquot sum (sum of proper divisors): 1,730,328

Factor pairs (a × b = 1,001,352)

1 × 1001352

2 × 500676

3 × 333784

4 × 250338

6 × 166892

8 × 125169

11 × 91032

12 × 83446

22 × 45516

24 × 41723

33 × 30344

44 × 22758

66 × 15172

88 × 11379

132 × 7586

264 × 3793

First multiples

1,001,352 · 2,002,704 (double) · 3,004,056 · 4,005,408 · 5,006,760 · 6,008,112 · 7,009,464 · 8,010,816 · 9,012,168 · 10,013,520

Sums & aliquot sequence

As consecutive integers: 333,783 + 333,784 + 333,785 91,027 + 91,028 + … + 91,037 62,577 + 62,578 + … + 62,592 30,328 + 30,329 + … + 30,360

Aliquot sequence: 1,001,352 → 1,730,328 → 2,851,032 → 4,323,048 → 7,081,752 → 10,622,688 → 20,294,688 → 32,979,120 → 69,256,896 → 118,957,104 → 285,700,032 → 533,209,176 → 995,725,224 → 2,202,631,476 → 2,937,612,108 → 3,970,791,604 → 3,801,568,796 — unresolved within range

Continued fraction of √n

√1,001,352 = [1000; (1, 2, 11, 1, 6, 1, 2, 4, 3, 1, 1, 1, 5, 2, 13, 1, 1, 6, 2, 2, 5, 5, 1, 11, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one million one thousand three hundred fifty-two
Ordinal: 1001352nd
Binary: 11110100011110001000
Octal: 3643610
Hexadecimal: 0xF4788
Base64: D0eI
One's complement: 4,293,965,943 (32-bit)
Scientific notation: 1.001352 × 10⁶
As a duration: 1,001,352 s = 11 days, 14 hours, 9 minutes, 12 seconds

In other bases

ternary (3) 1212212121010

quaternary (4) 3310132020

quinary (5) 224020402

senary (6) 33243520

septenary (7) 11340252

nonary (9) 1785533

undecimal (11) 624370

duodecimal (12) 4035a0

tridecimal (13) 290a21

tetradecimal (14) 1c0cd2

pentadecimal (15) 14ba6c

As an angle

1,001,352° = 2,781 × 360° + 192°

192° ≈ 3.351 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千三百五十二
Chinese (financial): 壹佰萬壹仟參佰伍拾貳

In other modern scripts

Eastern Arabic ١٠٠١٣٥٢ Devanagari १००१३५२ Bengali ১০০১৩৫২ Tamil ௧௦௦௧௩௫௨ Thai ๑๐๐๑๓๕๒ Tibetan ༡༠༠༡༣༥༢ Khmer ១០០១៣៥២ Lao ໑໐໐໑໓໕໒ Burmese ၁၀၀၁၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001352, here are decompositions:

5 + 1001347 = 1001352
29 + 1001323 = 1001352
31 + 1001321 = 1001352
41 + 1001311 = 1001352
61 + 1001291 = 1001352
73 + 1001279 = 1001352
179 + 1001173 = 1001352
193 + 1001159 = 1001352

Showing the first eight; more decompositions exist.

Hex color

#0F4788

RGB(15, 71, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.136.

Address: 0.15.71.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.136

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 1,001,352 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 US1,001,352 on Google Patents ↗ Look up on USPTO ↗