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131,484

131,484 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.).

131,484 (one hundred thirty-one thousand four hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,957. Its proper divisors sum to 175,340, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2019C.

Abundant Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
384
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
484,131
Recamán's sequence
a(229,404) = 131,484
Square (n²)
17,288,042,256
Cube (n³)
2,273,100,947,987,904
Divisor count
12
σ(n) — sum of divisors
306,824
φ(n) — Euler's totient
43,824
Sum of prime factors
10,964

Primality

Prime factorization: 2 2 × 3 × 10957

Nearest primes: 131,479 (−5) · 131,489 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 10957 · 21914 · 32871 · 43828 · 65742 (half) · 131484
Aliquot sum (sum of proper divisors): 175,340
Factor pairs (a × b = 131,484)
1 × 131484
2 × 65742
3 × 43828
4 × 32871
6 × 21914
12 × 10957
First multiples
131,484 · 262,968 (double) · 394,452 · 525,936 · 657,420 · 788,904 · 920,388 · 1,051,872 · 1,183,356 · 1,314,840

Sums & aliquot sequence

As consecutive integers: 43,827 + 43,828 + 43,829 16,432 + 16,433 + … + 16,439 5,467 + 5,468 + … + 5,490
Aliquot sequence: 131,484 175,340 226,852 170,146 86,858 44,794 22,400 40,840 51,140 56,296 53,144 71,176 90,104 103,096 122,624 122,656 118,886 — unresolved within range

Continued fraction of √n

√131,484 = [362; (1, 1, 1, 1, 4, 1, 14, 1, 1, 1, 1, 4, 60, 4, 1, 1, 1, 1, 14, 1, 4, 1, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand four hundred eighty-four
Ordinal
131484th
Binary
100000000110011100
Octal
400634
Hexadecimal
0x2019C
Base64
AgGc
One's complement
4,294,835,811 (32-bit)
Scientific notation
1.31484 × 10⁵
As a duration
131,484 s = 1 day, 12 hours, 31 minutes, 24 seconds
In other bases
ternary (3) 20200100210
quaternary (4) 200012130
quinary (5) 13201414
senary (6) 2452420
septenary (7) 1055223
nonary (9) 220323
undecimal (11) 8a871
duodecimal (12) 64110
tridecimal (13) 47b02
tetradecimal (14) 35cba
pentadecimal (15) 28e59

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαυπδʹ
Mayan (base 20)
𝋰·𝋨·𝋮·𝋤
Chinese
一十三萬一千四百八十四
Chinese (financial)
壹拾參萬壹仟肆佰捌拾肆
In other modern scripts
Eastern Arabic ١٣١٤٨٤ Devanagari १३१४८४ Bengali ১৩১৪৮৪ Tamil ௧௩௧௪௮௪ Thai ๑๓๑๔๘๔ Tibetan ༡༣༡༤༨༤ Khmer ១៣១៤៨៤ Lao ໑໓໑໔໘໔ Burmese ၁၃၁၄၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131484, here are decompositions:

  • 5 + 131479 = 131484
  • 7 + 131477 = 131484
  • 37 + 131447 = 131484
  • 43 + 131441 = 131484
  • 47 + 131437 = 131484
  • 53 + 131431 = 131484
  • 71 + 131413 = 131484
  • 103 + 131381 = 131484

Showing the first eight; more decompositions exist.

Unicode codepoint
𠆜
CJK Unified Ideograph-2019C
U+2019C
Other letter (Lo)

UTF-8 encoding: F0 A0 86 9C (4 bytes).

Hex color
#02019C
RGB(2, 1, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.156.

Address
0.2.1.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.156

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 131,484 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 131484 first appears in π at position 719,343 of the decimal expansion (the 719,343ordinal-suffix:rd 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°.