Live analysis

126,006

126,006 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.).

126,006 (one hundred twenty-six thousand six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 21,001. Its proper divisors sum to 126,018, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EC36.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

125,994 125,995 125,996 125,997 125,998 125,999 126,000 126,001 126,002 126,003 126,004 126,005 126,006 126,007 126,008 126,009 126,010 126,011 126,012 126,013 126,014 126,015 126,016 126,017 126,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 600,621
Recamán's sequence: a(234,152) = 126,006
Square (n²): 15,877,512,036
Cube (n³): 2,000,661,781,608,216
Divisor count: 8
σ(n) — sum of divisors: 252,024
φ(n) — Euler's totient: 42,000
Sum of prime factors: 21,006

Primality

Prime factorization: 2 × 3 × 21001

Nearest primes: 126,001 (−5) · 126,011 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 21001 · 42002 · 63003 (half) · 126006

Aliquot sum (sum of proper divisors): 126,018

Factor pairs (a × b = 126,006)

1 × 126006

2 × 63003

3 × 42002

6 × 21001

First multiples

126,006 · 252,012 (double) · 378,018 · 504,024 · 630,030 · 756,036 · 882,042 · 1,008,048 · 1,134,054 · 1,260,060

Sums & aliquot sequence

As consecutive integers: 42,001 + 42,002 + 42,003 31,500 + 31,501 + 31,502 + 31,503 10,495 + 10,496 + … + 10,506

Aliquot sequence: 126,006 → 126,018 → 147,060 → 333,420 → 600,324 → 874,716 → 1,166,316 → 1,590,228 → 2,469,100 → 2,889,064 → 2,906,936 → 2,543,584 → 2,520,104 → 2,205,106 → 1,102,556 → 1,295,476 → 1,495,564 — unresolved within range

Continued fraction of √n

√126,006 = [354; (1, 36, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 23, 30, 1, 4, 1, 2, 2, 7, 1, …)]

Representations

In words: one hundred twenty-six thousand six
Ordinal: 126006th
Binary: 11110110000110110
Octal: 366066
Hexadecimal: 0x1EC36
Base64: Aew2
One's complement: 4,294,841,289 (32-bit)
Scientific notation: 1.26006 × 10⁵
As a duration: 126,006 s = 1 day, 11 hours, 6 seconds

In other bases

ternary (3) 20101211220

quaternary (4) 132300312

quinary (5) 13013011

senary (6) 2411210

septenary (7) 1033236

nonary (9) 211756

undecimal (11) 86741

duodecimal (12) 60b06

tridecimal (13) 4547a

tetradecimal (14) 33cc6

pentadecimal (15) 27506

Palindromic in base 12

As an angle

126,006° = 350 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκϛϛʹ
Mayan (base 20): 𝋯·𝋯·𝋠·𝋦
Chinese: 一十二萬六千零六
Chinese (financial): 壹拾貳萬陸仟零陸

In other modern scripts

Eastern Arabic ١٢٦٠٠٦ Devanagari १२६००६ Bengali ১২৬০০৬ Tamil ௧௨௬௦௦௬ Thai ๑๒๖๐๐๖ Tibetan ༡༢༦༠༠༦ Khmer ១២៦០០៦ Lao ໑໒໖໐໐໖ Burmese ၁၂၆၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126006, here are decompositions:

5 + 126001 = 126006
43 + 125963 = 126006
47 + 125959 = 126006
73 + 125933 = 126006
79 + 125927 = 126006
107 + 125899 = 126006
109 + 125897 = 126006
193 + 125813 = 126006

Showing the first eight; more decompositions exist.

Hex color

#01EC36

RGB(1, 236, 54)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.54.

Address: 0.1.236.54
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.236.54

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 126,006 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US126,006 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 126006 first appears in π at position 327,814 of the decimal expansion (the 327,814ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 126006 on Pi Search ↗