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131,706

131,706 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.).

131,706 (one hundred thirty-one thousand seven hundred six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3⁵ × 271. Its proper divisors sum to 165,318, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2027A.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
607,131
Recamán's sequence
a(228,960) = 131,706
Square (n²)
17,346,470,436
Cube (n³)
2,284,634,235,243,816
Divisor count
24
σ(n) — sum of divisors
297,024
φ(n) — Euler's totient
43,740
Sum of prime factors
288

Primality

Prime factorization: 2 × 3 5 × 271

Nearest primes: 131,701 (−5) · 131,707 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 · 162 · 243 · 271 · 486 · 542 · 813 · 1626 · 2439 · 4878 · 7317 · 14634 · 21951 · 43902 · 65853 (half) · 131706
Aliquot sum (sum of proper divisors): 165,318
Factor pairs (a × b = 131,706)
1 × 131706
2 × 65853
3 × 43902
6 × 21951
9 × 14634
18 × 7317
27 × 4878
54 × 2439
81 × 1626
162 × 813
243 × 542
271 × 486
First multiples
131,706 · 263,412 (double) · 395,118 · 526,824 · 658,530 · 790,236 · 921,942 · 1,053,648 · 1,185,354 · 1,317,060

Sums & aliquot sequence

As consecutive integers: 43,901 + 43,902 + 43,903 32,925 + 32,926 + 32,927 + 32,928 14,630 + 14,631 + … + 14,638 10,970 + 10,971 + … + 10,981
Aliquot sequence: 131,706 165,318 171,642 171,654 233,082 294,822 402,498 486,702 594,978 618,078 658,338 671,358 671,370 1,263,990 2,477,706 3,936,630 5,511,354 — unresolved within range

Continued fraction of √n

√131,706 = [362; (1, 10, 1, 1, 10, 1, 1, 1, 4, 2, 2, 1, 1, 2, 2, 2, 1, 12, 2, 22, 1, 13, 1, 5, …)]

Representations

In words
one hundred thirty-one thousand seven hundred six
Ordinal
131706th
Binary
100000001001111010
Octal
401172
Hexadecimal
0x2027A
Base64
AgJ6
One's complement
4,294,835,589 (32-bit)
Scientific notation
1.31706 × 10⁵
As a duration
131,706 s = 1 day, 12 hours, 35 minutes, 6 seconds
In other bases
ternary (3) 20200200000
quaternary (4) 200021322
quinary (5) 13203311
senary (6) 2453430
septenary (7) 1055661
nonary (9) 220600
undecimal (11) 8aa53
duodecimal (12) 64276
tridecimal (13) 47c43
tetradecimal (14) 35dd8
pentadecimal (15) 29056

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψϛʹ
Mayan (base 20)
𝋰·𝋩·𝋥·𝋦
Chinese
一十三萬一千七百零六
Chinese (financial)
壹拾參萬壹仟柒佰零陸
In other modern scripts
Eastern Arabic ١٣١٧٠٦ Devanagari १३१७०६ Bengali ১৩১৭০৬ Tamil ௧௩௧௭௦௬ Thai ๑๓๑๗๐๖ Tibetan ༡༣༡༧༠༦ Khmer ១៣១៧០៦ Lao ໑໓໑໗໐໖ Burmese ၁၃၁၇၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131706, here are decompositions:

  • 5 + 131701 = 131706
  • 19 + 131687 = 131706
  • 67 + 131639 = 131706
  • 79 + 131627 = 131706
  • 89 + 131617 = 131706
  • 163 + 131543 = 131706
  • 199 + 131507 = 131706
  • 227 + 131479 = 131706

Showing the first eight; more decompositions exist.

Unicode codepoint
𠉺
CJK Unified Ideograph-2027A
U+2027A
Other letter (Lo)

UTF-8 encoding: F0 A0 89 BA (4 bytes).

Hex color
#02027A
RGB(2, 2, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.122.

Address
0.2.2.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.122

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 131,706 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 131706 first appears in π at position 799,147 of the decimal expansion (the 799,147ordinal-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°.