Live analysis

1,001,948

1,001,948 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.).

1,001,948 (one million one thousand nine hundred forty-eight) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 107 × 2,341. Written other ways, in hexadecimal, 0xF49DC.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,936 1,001,937 1,001,938 1,001,939 1,001,940 1,001,941 1,001,942 1,001,943 1,001,944 1,001,945 1,001,946 1,001,947 1,001,948 1,001,949 1,001,950 1,001,951 1,001,952 1,001,953 1,001,954 1,001,955 1,001,956 1,001,957 1,001,958 1,001,959 1,001,960

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 8,491,001
Square (n²): 1,003,899,794,704
Cube (n³): 1,005,855,391,504,083,392
Divisor count: 12
σ(n) — sum of divisors: 1,770,552
φ(n) — Euler's totient: 496,080
Sum of prime factors: 2,452

Primality

Prime factorization: 2 ² × 107 × 2341

Nearest primes: 1,001,947 (−1) · 1,001,953 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 107 · 214 · 428 · 2341 · 4682 · 9364 · 250487 · 500974 (half) · 1001948

Aliquot sum (sum of proper divisors): 768,604

Factor pairs (a × b = 1,001,948)

1 × 1001948

2 × 500974

4 × 250487

107 × 9364

214 × 4682

428 × 2341

First multiples

1,001,948 · 2,003,896 (double) · 3,005,844 · 4,007,792 · 5,009,740 · 6,011,688 · 7,013,636 · 8,015,584 · 9,017,532 · 10,019,480

Sums & aliquot sequence

As consecutive integers: 125,240 + 125,241 + … + 125,247 9,311 + 9,312 + … + 9,417 743 + 744 + … + 1,598

Aliquot sequence: 1,001,948 → 768,604 → 682,916 → 662,428 → 586,092 → 986,976 → 1,961,424 → 3,653,172 → 5,581,326 → 6,278,514 → 7,510,926 → 8,598,642 → 10,730,766 → 11,467,410 → 16,800,942 → 17,028,258 → 20,508,318 — unresolved within range

Continued fraction of √n

√1,001,948 = [1000; (1, 36, 1, 3, 2, 2, 5, 2, 1, 3, 2, 9, 1, 13, 1, 4, 2, 3, 3, 3, 4, 1, 1, 1, …)]

Representations

In words: one million one thousand nine hundred forty-eight
Ordinal: 1001948th
Binary: 11110100100111011100
Octal: 3644734
Hexadecimal: 0xF49DC
Base64: D0nc
One's complement: 4,293,965,347 (32-bit)
Scientific notation: 1.001948 × 10⁶
As a duration: 1,001,948 s = 11 days, 14 hours, 19 minutes, 8 seconds

In other bases

ternary (3) 1212220102012

quaternary (4) 3310213130

quinary (5) 224030243

senary (6) 33250352

septenary (7) 11342063

nonary (9) 1786365

undecimal (11) 624862

duodecimal (12) 4039b8

tridecimal (13) 29108c

tetradecimal (14) 1c11da

pentadecimal (15) 14bd18

As an angle

1,001,948° = 2,783 × 360° + 68°

68° ≈ 1.187 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千九百四十八
Chinese (financial): 壹佰萬壹仟玖佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠١٩٤٨ Devanagari १००१९४८ Bengali ১০০১৯৪৮ Tamil ௧௦௦௧௯௪௮ Thai ๑๐๐๑๙๔๘ Tibetan ༡༠༠༡༩༤༨ Khmer ១០០១៩៤៨ Lao ໑໐໐໑໙໔໘ Burmese ၁၀၀၁၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001948, here are decompositions:

7 + 1001941 = 1001948
37 + 1001911 = 1001948
109 + 1001839 = 1001948
127 + 1001821 = 1001948
139 + 1001809 = 1001948
151 + 1001797 = 1001948
379 + 1001569 = 1001948
397 + 1001551 = 1001948

Showing the first eight; more decompositions exist.

Hex color

#0F49DC

RGB(15, 73, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.220.

Address: 0.15.73.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.220

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 1,001,948 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 US1,001,948 on Google Patents ↗ Look up on USPTO ↗