Live analysis

1,001,124

1,001,124 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.).

1,001,124 (one million one thousand one hundred twenty-four) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 27,809. Its proper divisors sum to 1,529,586, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF46A4.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,112 1,001,113 1,001,114 1,001,115 1,001,116 1,001,117 1,001,118 1,001,119 1,001,120 1,001,121 1,001,122 1,001,123 1,001,124 1,001,125 1,001,126 1,001,127 1,001,128 1,001,129 1,001,130 1,001,131 1,001,132 1,001,133 1,001,134 1,001,135 1,001,136

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,211,001
Square (n²): 1,002,249,263,376
Cube (n³): 1,003,375,791,548,034,624
Divisor count: 18
σ(n) — sum of divisors: 2,530,710
φ(n) — Euler's totient: 333,696
Sum of prime factors: 27,819

Primality

Prime factorization: 2 ² × 3 ² × 27809

Nearest primes: 1,001,123 (−1) · 1,001,153 (+29)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 27809 · 55618 · 83427 · 111236 · 166854 · 250281 · 333708 · 500562 (half) · 1001124

Aliquot sum (sum of proper divisors): 1,529,586

Factor pairs (a × b = 1,001,124)

1 × 1001124

2 × 500562

3 × 333708

4 × 250281

6 × 166854

9 × 111236

12 × 83427

18 × 55618

36 × 27809

First multiples

1,001,124 · 2,002,248 (double) · 3,003,372 · 4,004,496 · 5,005,620 · 6,006,744 · 7,007,868 · 8,008,992 · 9,010,116 · 10,011,240

Sums & aliquot sequence

As a sum of two squares: 282² + 960²

As consecutive integers: 333,707 + 333,708 + 333,709 125,137 + 125,138 + … + 125,144 111,232 + 111,233 + … + 111,240 41,702 + 41,703 + … + 41,725

Aliquot sequence: 1,001,124 → 1,529,586 → 1,784,556 → 2,965,644 → 5,213,436 → 6,990,084 → 11,456,316 → 20,085,964 → 16,914,636 → 29,251,764 → 49,041,360 → 115,658,292 → 154,211,084 → 115,658,320 → 167,403,920 → 221,810,380 → 286,337,540 — unresolved within range

Continued fraction of √n

√1,001,124 = [1000; (1, 1, 3, 1, 1, 5, 2, 1, 1, 1, 27, 1, 1, 3, 1, 6, 1, 2, 4, 1, 2, 1, 1, 5, …)]

Representations

In words: one million one thousand one hundred twenty-four
Ordinal: 1001124th
Binary: 11110100011010100100
Octal: 3643244
Hexadecimal: 0xF46A4
Base64: D0ak
One's complement: 4,293,966,171 (32-bit)
Scientific notation: 1.001124 × 10⁶
As a duration: 1,001,124 s = 11 days, 14 hours, 5 minutes, 24 seconds

In other bases

ternary (3) 1212212021200

quaternary (4) 3310122210

quinary (5) 224013444

senary (6) 33242500

septenary (7) 11336505

nonary (9) 1785250

undecimal (11) 624183

duodecimal (12) 403430

tridecimal (13) 2908a7

tetradecimal (14) 1c0bac

pentadecimal (15) 14b969

As an angle

1,001,124° = 2,780 × 360° + 324°

324° ≈ 5.655 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千一百二十四
Chinese (financial): 壹佰萬壹仟壹佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٠١١٢٤ Devanagari १००११२४ Bengali ১০০১১২৪ Tamil ௧௦௦௧௧௨௪ Thai ๑๐๐๑๑๒๔ Tibetan ༡༠༠༡༡༢༤ Khmer ១០០១១២៤ Lao ໑໐໐໑໑໒໔ Burmese ၁၀၀၁၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001124, here are decompositions:

17 + 1001107 = 1001124
31 + 1001093 = 1001124
37 + 1001087 = 1001124
43 + 1001081 = 1001124
83 + 1001041 = 1001124
97 + 1001027 = 1001124
101 + 1001023 = 1001124
107 + 1001017 = 1001124

Showing the first eight; more decompositions exist.

Hex color

#0F46A4

RGB(15, 70, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.164.

Address: 0.15.70.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.164

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 1,001,124 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 US1,001,124 on Google Patents ↗ Look up on USPTO ↗