Live analysis

1,001,328

1,001,328 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.).

1,001,328 (one million one thousand three hundred twenty-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 23 × 907. Its proper divisors sum to 1,700,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4770.

Abundant Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,316 1,001,317 1,001,318 1,001,319 1,001,320 1,001,321 1,001,322 1,001,323 1,001,324 1,001,325 1,001,326 1,001,327 1,001,328 1,001,329 1,001,330 1,001,331 1,001,332 1,001,333 1,001,334 1,001,335 1,001,336 1,001,337 1,001,338 1,001,339 1,001,340

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,231,001
Square (n²): 1,002,657,763,584
Cube (n³): 1,003,989,293,094,039,552
Divisor count: 40
σ(n) — sum of divisors: 2,702,208
φ(n) — Euler's totient: 318,912
Sum of prime factors: 941

Primality

Prime factorization: 2 ⁴ × 3 × 23 × 907

Nearest primes: 1,001,327 (−1) · 1,001,347 (+19)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 46 · 48 · 69 · 92 · 138 · 184 · 276 · 368 · 552 · 907 · 1104 · 1814 · 2721 · 3628 · 5442 · 7256 · 10884 · 14512 · 20861 · 21768 · 41722 · 43536 · 62583 · 83444 · 125166 · 166888 · 250332 · 333776 · 500664 (half) · 1001328

Aliquot sum (sum of proper divisors): 1,700,880

Factor pairs (a × b = 1,001,328)

1 × 1001328

2 × 500664

3 × 333776

4 × 250332

6 × 166888

8 × 125166

12 × 83444

16 × 62583

23 × 43536

24 × 41722

46 × 21768

48 × 20861

69 × 14512

92 × 10884

138 × 7256

184 × 5442

276 × 3628

368 × 2721

552 × 1814

907 × 1104

First multiples

1,001,328 · 2,002,656 (double) · 3,003,984 · 4,005,312 · 5,006,640 · 6,007,968 · 7,009,296 · 8,010,624 · 9,011,952 · 10,013,280

Sums & aliquot sequence

As consecutive integers: 333,775 + 333,776 + 333,777 43,525 + 43,526 + … + 43,547 31,276 + 31,277 + … + 31,307 14,478 + 14,479 + … + 14,546

Aliquot sequence: 1,001,328 → 1,700,880 → 3,864,240 → 9,453,360 → 26,115,792 → 42,924,432 → 67,963,808 → 80,798,848 → 95,701,952 → 94,206,736 → 107,688,328 → 112,583,432 → 114,748,708 → 105,209,492 → 79,276,684 → 59,457,520 → 85,577,840 — unresolved within range

Continued fraction of √n

√1,001,328 = [1000; (1, 1, 1, 37, 1, 4, 1, 1, 3, 11, 1, 1, 3, 1, 1, 1, 10, 1, 2, 1, 2, 1, 1, 4, …)]

Representations

In words: one million one thousand three hundred twenty-eight
Ordinal: 1001328th
Binary: 11110100011101110000
Octal: 3643560
Hexadecimal: 0xF4770
Base64: D0dw
One's complement: 4,293,965,967 (32-bit)
Scientific notation: 1.001328 × 10⁶
As a duration: 1,001,328 s = 11 days, 14 hours, 8 minutes, 48 seconds

In other bases

ternary (3) 1212212120020

quaternary (4) 3310131300

quinary (5) 224020303

senary (6) 33243440

septenary (7) 11340216

nonary (9) 1785506

undecimal (11) 624349

duodecimal (12) 403580

tridecimal (13) 290a03

tetradecimal (14) 1c0cb6

pentadecimal (15) 14ba53

As an angle

1,001,328° = 2,781 × 360° + 168°

168° ≈ 2.932 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千三百二十八
Chinese (financial): 壹佰萬壹仟參佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠١٣٢٨ Devanagari १००१३२८ Bengali ১০০১৩২৮ Tamil ௧௦௦௧௩௨௮ Thai ๑๐๐๑๓๒๘ Tibetan ༡༠༠༡༣༢༨ Khmer ១០០១៣២៨ Lao ໑໐໐໑໓໒໘ Burmese ၁၀၀၁၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001328, here are decompositions:

5 + 1001323 = 1001328
7 + 1001321 = 1001328
17 + 1001311 = 1001328
37 + 1001291 = 1001328
61 + 1001267 = 1001328
109 + 1001219 = 1001328
131 + 1001197 = 1001328
137 + 1001191 = 1001328

Showing the first eight; more decompositions exist.

Hex color

#0F4770

RGB(15, 71, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.112.

Address: 0.15.71.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.112

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 1,001,328 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 US1,001,328 on Google Patents ↗ Look up on USPTO ↗