Live analysis

1,001,964

1,001,964 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.).

1,001,964 (one million one thousand nine hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,497. Its proper divisors sum to 1,335,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF49EC.

Abundant Number Cube-Free Evil Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 1,001,961 1,001,962 1,001,963 1,001,964 1,001,965 1,001,966 1,001,967 1,001,968 1,001,969 1,001,970 1,001,971 1,001,972 1,001,973 1,001,974 1,001,975 1,001,976

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,691,001
Square (n²): 1,003,931,857,296
Cube (n³): 1,005,903,579,463,729,344
Divisor count: 12
σ(n) — sum of divisors: 2,337,944
φ(n) — Euler's totient: 333,984
Sum of prime factors: 83,504

Primality

Prime factorization: 2 ² × 3 × 83497

Nearest primes: 1,001,953 (−11) · 1,001,977 (+13)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83497 · 166994 · 250491 · 333988 · 500982 (half) · 1001964

Aliquot sum (sum of proper divisors): 1,335,980

Factor pairs (a × b = 1,001,964)

1 × 1001964

2 × 500982

3 × 333988

4 × 250491

6 × 166994

12 × 83497

First multiples

1,001,964 · 2,003,928 (double) · 3,005,892 · 4,007,856 · 5,009,820 · 6,011,784 · 7,013,748 · 8,015,712 · 9,017,676 · 10,019,640

Sums & aliquot sequence

As consecutive integers: 333,987 + 333,988 + 333,989 125,242 + 125,243 + … + 125,249 41,737 + 41,738 + … + 41,760

Aliquot sequence: 1,001,964 → 1,335,980 → 1,514,308 → 1,145,804 → 1,041,724 → 848,948 → 643,312 → 644,304 → 1,077,808 → 1,172,048 → 1,327,792 → 1,328,784 → 2,480,496 → 4,138,128 → 8,345,200 → 12,381,648 → 21,473,328 — unresolved within range

Continued fraction of √n

√1,001,964 = [1000; (1, 53, 9, 3, 2, 2, 2, 1, 1, 12, 6, 23, 2, 1, 1, 2, 1, 2, 1, 4, 1, 1, 2, 5, …)]

Representations

In words: one million one thousand nine hundred sixty-four
Ordinal: 1001964th
Binary: 11110100100111101100
Octal: 3644754
Hexadecimal: 0xF49EC
Base64: D0ns
One's complement: 4,293,965,331 (32-bit)
Scientific notation: 1.001964 × 10⁶
As a duration: 1,001,964 s = 11 days, 14 hours, 19 minutes, 24 seconds

In other bases

ternary (3) 1212220102210

quaternary (4) 3310213230

quinary (5) 224030324

senary (6) 33250420

septenary (7) 11342115

nonary (9) 1786383

undecimal (11) 624877

duodecimal (12) 403a10

tridecimal (13) 2910a2

tetradecimal (14) 1c120c

pentadecimal (15) 14bd29

As an angle

1,001,964° = 2,783 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千九百六十四
Chinese (financial): 壹佰萬壹仟玖佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠١٩٦٤ Devanagari १००१९६४ Bengali ১০০১৯৬৪ Tamil ௧௦௦௧௯௬௪ Thai ๑๐๐๑๙๖๔ Tibetan ༡༠༠༡༩༦༤ Khmer ១០០១៩៦៤ Lao ໑໐໐໑໙໖໔ Burmese ၁၀၀၁၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001964, here are decompositions:

11 + 1001953 = 1001964
17 + 1001947 = 1001964
23 + 1001941 = 1001964
31 + 1001933 = 1001964
53 + 1001911 = 1001964
157 + 1001807 = 1001964
163 + 1001801 = 1001964
167 + 1001797 = 1001964

Showing the first eight; more decompositions exist.

Hex color

#0F49EC

RGB(15, 73, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.236.

Address: 0.15.73.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.236

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 1,001,964 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 US1,001,964 on Google Patents ↗ Look up on USPTO ↗