Live analysis

1,001,826

1,001,826 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.).

1,001,826 (one million one thousand eight hundred twenty-six) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 7 × 7,951. Its proper divisors sum to 1,479,198, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4962.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,814 1,001,815 1,001,816 1,001,817 1,001,818 1,001,819 1,001,820 1,001,821 1,001,822 1,001,823 1,001,824 1,001,825 1,001,826 1,001,827 1,001,828 1,001,829 1,001,830 1,001,831 1,001,832 1,001,833 1,001,834 1,001,835 1,001,836 1,001,837 1,001,838

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,281,001
Square (n²): 1,003,655,334,276
Cube (n³): 1,005,488,008,916,387,976
Divisor count: 24
σ(n) — sum of divisors: 2,481,024
φ(n) — Euler's totient: 286,200
Sum of prime factors: 7,966

Primality

Prime factorization: 2 × 3 ² × 7 × 7951

Nearest primes: 1,001,821 (−5) · 1,001,831 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 63 · 126 · 7951 · 15902 · 23853 · 47706 · 55657 · 71559 · 111314 · 143118 · 166971 · 333942 · 500913 (half) · 1001826

Aliquot sum (sum of proper divisors): 1,479,198

Factor pairs (a × b = 1,001,826)

1 × 1001826

2 × 500913

3 × 333942

6 × 166971

7 × 143118

9 × 111314

14 × 71559

18 × 55657

21 × 47706

42 × 23853

63 × 15902

126 × 7951

First multiples

1,001,826 · 2,003,652 (double) · 3,005,478 · 4,007,304 · 5,009,130 · 6,010,956 · 7,012,782 · 8,014,608 · 9,016,434 · 10,018,260

Sums & aliquot sequence

As consecutive integers: 333,941 + 333,942 + 333,943 250,455 + 250,456 + 250,457 + 250,458 143,115 + 143,116 + … + 143,121 111,310 + 111,311 + … + 111,318

Aliquot sequence: 1,001,826 → 1,479,198 → 1,988,322 → 2,638,254 → 2,638,266 → 2,671,878 → 3,157,818 → 3,628,038 → 4,055,082 → 4,079,478 → 4,707,258 → 4,707,270 → 7,640,442 → 9,072,774 → 10,909,578 → 11,021,622 → 11,021,634 — unresolved within range

Continued fraction of √n

√1,001,826 = [1000; (1, 10, 2, 3, 1, 1, 1, 2, 1, 1, 3, 2, 6, 1, 1, 6, 2, 1, 1, 3, 1, 2, 2, 1, …)]

Representations

In words: one million one thousand eight hundred twenty-six
Ordinal: 1001826th
Binary: 11110100100101100010
Octal: 3644542
Hexadecimal: 0xF4962
Base64: D0li
One's complement: 4,293,965,469 (32-bit)
Scientific notation: 1.001826 × 10⁶
As a duration: 1,001,826 s = 11 days, 14 hours, 17 minutes, 6 seconds

In other bases

ternary (3) 1212220020200

quaternary (4) 3310211202

quinary (5) 224024301

senary (6) 33250030

septenary (7) 11341530

nonary (9) 1786220

undecimal (11) 624761

duodecimal (12) 403916

tridecimal (13) 290cc7

tetradecimal (14) 1c1150

pentadecimal (15) 14bc86

As an angle

1,001,826° = 2,782 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千八百二十六
Chinese (financial): 壹佰萬壹仟捌佰貳拾陸

In other modern scripts

Eastern Arabic ١٠٠١٨٢٦ Devanagari १००१८२६ Bengali ১০০১৮২৬ Tamil ௧௦௦௧௮௨௬ Thai ๑๐๐๑๘๒๖ Tibetan ༡༠༠༡༨༢༦ Khmer ១០០១៨២៦ Lao ໑໐໐໑໘໒໖ Burmese ၁၀၀၁၈၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001826, here are decompositions:

5 + 1001821 = 1001826
17 + 1001809 = 1001826
19 + 1001807 = 1001826
29 + 1001797 = 1001826
43 + 1001783 = 1001826
83 + 1001743 = 1001826
103 + 1001723 = 1001826
113 + 1001713 = 1001826

Showing the first eight; more decompositions exist.

Hex color

#0F4962

RGB(15, 73, 98)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.98.

Address: 0.15.73.98
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.98

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 1,001,826 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 US1,001,826 on Google Patents ↗ Look up on USPTO ↗