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132,126

132,126 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.).

132,126 (one hundred thirty-two thousand one hundred twenty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 19² × 61. Its proper divisors sum to 151,338, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2041E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
72
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
621,231
Recamán's sequence
a(228,120) = 132,126
Square (n²)
17,457,279,876
Cube (n³)
2,306,560,560,896,376
Divisor count
24
σ(n) — sum of divisors
283,464
φ(n) — Euler's totient
41,040
Sum of prime factors
104

Primality

Prime factorization: 2 × 3 × 19 2 × 61

Nearest primes: 132,113 (−13) · 132,137 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 19 · 38 · 57 · 61 · 114 · 122 · 183 · 361 · 366 · 722 · 1083 · 1159 · 2166 · 2318 · 3477 · 6954 · 22021 · 44042 · 66063 (half) · 132126
Aliquot sum (sum of proper divisors): 151,338
Factor pairs (a × b = 132,126)
1 × 132126
2 × 66063
3 × 44042
6 × 22021
19 × 6954
38 × 3477
57 × 2318
61 × 2166
114 × 1159
122 × 1083
183 × 722
361 × 366
First multiples
132,126 · 264,252 (double) · 396,378 · 528,504 · 660,630 · 792,756 · 924,882 · 1,057,008 · 1,189,134 · 1,321,260

Sums & aliquot sequence

As consecutive integers: 44,041 + 44,042 + 44,043 33,030 + 33,031 + 33,032 + 33,033 11,005 + 11,006 + … + 11,016 6,945 + 6,946 + … + 6,963
Aliquot sequence: 132,126 151,338 178,998 179,010 369,846 462,258 558,138 740,166 951,738 968,262 968,274 1,267,806 1,378,338 1,669,854 1,688,226 1,940,574 1,954,338 — unresolved within range

Continued fraction of √n

√132,126 = [363; (2, 28, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 47, 1, 4, 1, 47, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand one hundred twenty-six
Ordinal
132126th
Binary
100000010000011110
Octal
402036
Hexadecimal
0x2041E
Base64
AgQe
One's complement
4,294,835,169 (32-bit)
Scientific notation
1.32126 × 10⁵
As a duration
132,126 s = 1 day, 12 hours, 42 minutes, 6 seconds
In other bases
ternary (3) 20201020120
quaternary (4) 200100132
quinary (5) 13212001
senary (6) 2455410
septenary (7) 1060131
nonary (9) 221216
undecimal (11) 902a5
duodecimal (12) 64566
tridecimal (13) 481a7
tetradecimal (14) 36218
pentadecimal (15) 29236

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβρκϛʹ
Mayan (base 20)
𝋰·𝋪·𝋦·𝋦
Chinese
一十三萬二千一百二十六
Chinese (financial)
壹拾參萬貳仟壹佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٢١٢٦ Devanagari १३२१२६ Bengali ১৩২১২৬ Tamil ௧௩௨௧௨௬ Thai ๑๓๒๑๒๖ Tibetan ༡༣༢༡༢༦ Khmer ១៣២១២៦ Lao ໑໓໒໑໒໖ Burmese ၁၃၂၁၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132126, here are decompositions:

  • 13 + 132113 = 132126
  • 17 + 132109 = 132126
  • 23 + 132103 = 132126
  • 67 + 132059 = 132126
  • 79 + 132047 = 132126
  • 107 + 132019 = 132126
  • 157 + 131969 = 132126
  • 167 + 131959 = 132126

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐞
CJK Unified Ideograph-2041E
U+2041E
Other letter (Lo)

UTF-8 encoding: F0 A0 90 9E (4 bytes).

Hex color
#02041E
RGB(2, 4, 30)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.30.

Address
0.2.4.30
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.30

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 132,126 and was likely granted around 1872.

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

Position in π

The digit sequence 132126 first appears in π at position 180,208 of the decimal expansion (the 180,208ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.