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131,978

131,978 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.).

131,978 (one hundred thirty-one thousand nine hundred seventy-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 11 × 857. Written other ways, in hexadecimal, 0x2038A.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
1,512
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
879,131
Recamán's sequence
a(228,416) = 131,978
Square (n²)
17,418,192,484
Cube (n³)
2,298,818,207,653,352
Divisor count
16
σ(n) — sum of divisors
247,104
φ(n) — Euler's totient
51,360
Sum of prime factors
877

Primality

Prime factorization: 2 × 7 × 11 × 857

Nearest primes: 131,969 (−9) · 132,001 (+23)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 11 · 14 · 22 · 77 · 154 · 857 · 1714 · 5999 · 9427 · 11998 · 18854 · 65989 (half) · 131978
Aliquot sum (sum of proper divisors): 115,126
Factor pairs (a × b = 131,978)
1 × 131978
2 × 65989
7 × 18854
11 × 11998
14 × 9427
22 × 5999
77 × 1714
154 × 857
First multiples
131,978 · 263,956 (double) · 395,934 · 527,912 · 659,890 · 791,868 · 923,846 · 1,055,824 · 1,187,802 · 1,319,780

Sums & aliquot sequence

As consecutive integers: 32,993 + 32,994 + 32,995 + 32,996 18,851 + 18,852 + … + 18,857 11,993 + 11,994 + … + 12,003 4,700 + 4,701 + … + 4,727
Aliquot sequence: 131,978 115,126 73,298 38,494 22,346 11,176 11,864 10,396 8,756 8,044 6,040 7,640 9,640 12,140 13,396 11,552 12,451 — unresolved within range

Continued fraction of √n

√131,978 = [363; (3, 2, 9, 1, 1, 9, 1, 2, 2, 2, 1, 30, 1, 7, 2, 12, 17, 1, 1, 1, 3, 1, 2, 4, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred seventy-eight
Ordinal
131978th
Binary
100000001110001010
Octal
401612
Hexadecimal
0x2038A
Base64
AgOK
One's complement
4,294,835,317 (32-bit)
Scientific notation
1.31978 × 10⁵
As a duration
131,978 s = 1 day, 12 hours, 39 minutes, 38 seconds
In other bases
ternary (3) 20201001002
quaternary (4) 200032022
quinary (5) 13210403
senary (6) 2455002
septenary (7) 1056530
nonary (9) 221032
undecimal (11) 90180
duodecimal (12) 64462
tridecimal (13) 480c2
tetradecimal (14) 36150
pentadecimal (15) 29188

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡοηʹ
Mayan (base 20)
𝋰·𝋩·𝋲·𝋲
Chinese
一十三萬一千九百七十八
Chinese (financial)
壹拾參萬壹仟玖佰柒拾捌
In other modern scripts
Eastern Arabic ١٣١٩٧٨ Devanagari १३१९७८ Bengali ১৩১৯৭৮ Tamil ௧௩௧௯௭௮ Thai ๑๓๑๙๗๘ Tibetan ༡༣༡༩༧༨ Khmer ១៣១៩៧៨ Lao ໑໓໑໙໗໘ Burmese ၁၃၁၉၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131978, here are decompositions:

  • 19 + 131959 = 131978
  • 31 + 131947 = 131978
  • 37 + 131941 = 131978
  • 79 + 131899 = 131978
  • 139 + 131839 = 131978
  • 181 + 131797 = 131978
  • 199 + 131779 = 131978
  • 229 + 131749 = 131978

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎊
CJK Unified Ideograph-2038A
U+2038A
Other letter (Lo)

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

Hex color
#02038A
RGB(2, 3, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.138.

Address
0.2.3.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.138

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 131,978 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 131978 first appears in π at position 303,939 of the decimal expansion (the 303,939ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.