Live analysis

1,007,328

1,007,328 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.).

1,007,328 (one million seven thousand three hundred twenty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 7 × 1,499. Its proper divisors sum to 2,016,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5EE0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,007,316 1,007,317 1,007,318 1,007,319 1,007,320 1,007,321 1,007,322 1,007,323 1,007,324 1,007,325 1,007,326 1,007,327 1,007,328 1,007,329 1,007,330 1,007,331 1,007,332 1,007,333 1,007,334 1,007,335 1,007,336 1,007,337 1,007,338 1,007,339 1,007,340

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,237,001
Recamán's sequence: a(350,795) = 1,007,328
Square (n²): 1,014,709,699,584
Cube (n³): 1,022,145,492,262,551,552
Divisor count: 48
σ(n) — sum of divisors: 3,024,000
φ(n) — Euler's totient: 287,616
Sum of prime factors: 1,519

Primality

Prime factorization: 2 ⁵ × 3 × 7 × 1499

Nearest primes: 1,007,317 (−11) · 1,007,339 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 84 · 96 · 112 · 168 · 224 · 336 · 672 · 1499 · 2998 · 4497 · 5996 · 8994 · 10493 · 11992 · 17988 · 20986 · 23984 · 31479 · 35976 · 41972 · 47968 · 62958 · 71952 · 83944 · 125916 · 143904 · 167888 · 251832 · 335776 · 503664 (half) · 1007328

Aliquot sum (sum of proper divisors): 2,016,672

Factor pairs (a × b = 1,007,328)

1 × 1007328

2 × 503664

3 × 335776

4 × 251832

6 × 167888

7 × 143904

8 × 125916

12 × 83944

14 × 71952

16 × 62958

21 × 47968

24 × 41972

28 × 35976

32 × 31479

42 × 23984

48 × 20986

56 × 17988

84 × 11992

96 × 10493

112 × 8994

168 × 5996

224 × 4497

336 × 2998

672 × 1499

First multiples

1,007,328 · 2,014,656 (double) · 3,021,984 · 4,029,312 · 5,036,640 · 6,043,968 · 7,051,296 · 8,058,624 · 9,065,952 · 10,073,280

Sums & aliquot sequence

As consecutive integers: 335,775 + 335,776 + 335,777 143,901 + 143,902 + … + 143,907 47,958 + 47,959 + … + 47,978 15,708 + 15,709 + … + 15,771

Aliquot sequence: 1,007,328 → 2,016,672 → 4,035,360 → 10,504,032 → 25,783,968 → 59,710,560 → 171,952,032 → 363,259,680 → 963,284,448 → 1,953,303,072 → 4,039,472,640 → 11,233,835,520 — keeps growing

Continued fraction of √n

√1,007,328 = [1003; (1, 1, 1, 11, 4, 1, 2, 1, 5, 4, 4, 1, 1, 2, 2, 2, 2, 501, 2, 2, 2, 2, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand three hundred twenty-eight
Ordinal: 1007328th
Binary: 11110101111011100000
Octal: 3657340
Hexadecimal: 0xF5EE0
Base64: D17g
One's complement: 4,293,959,967 (32-bit)
Scientific notation: 1.007328 × 10⁶
As a duration: 1,007,328 s = 11 days, 15 hours, 48 minutes, 48 seconds

In other bases

ternary (3) 1220011210110

quaternary (4) 3311323200

quinary (5) 224213303

senary (6) 33331320

septenary (7) 11363550

nonary (9) 1804713

undecimal (11) 628903

duodecimal (12) 406b40

tridecimal (13) 29366a

tetradecimal (14) 1c3160

pentadecimal (15) 14d703

As an angle

1,007,328° = 2,798 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千三百二十八
Chinese (financial): 壹佰萬柒仟參佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٧٣٢٨ Devanagari १००७३२८ Bengali ১০০৭৩২৮ Tamil ௧௦௦௭௩௨௮ Thai ๑๐๐๗๓๒๘ Tibetan ༡༠༠༧༣༢༨ Khmer ១០០៧៣២៨ Lao ໑໐໐໗໓໒໘ Burmese ၁၀၀၇၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007328, here are decompositions:

11 + 1007317 = 1007328
19 + 1007309 = 1007328
29 + 1007299 = 1007328
31 + 1007297 = 1007328
79 + 1007249 = 1007328
97 + 1007231 = 1007328
149 + 1007179 = 1007328
167 + 1007161 = 1007328

Showing the first eight; more decompositions exist.

Hex color

#0F5EE0

RGB(15, 94, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.224.

Address: 0.15.94.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.224

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 1,007,328 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 US1,007,328 on Google Patents ↗ Look up on USPTO ↗