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131,752

131,752 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.).

131,752 (one hundred thirty-one thousand seven hundred fifty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 43 × 383. Written other ways, in hexadecimal, 0x202A8.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
257,131
Recamán's sequence
a(228,868) = 131,752
Square (n²)
17,358,589,504
Cube (n³)
2,287,028,884,331,008
Divisor count
16
σ(n) — sum of divisors
253,440
φ(n) — Euler's totient
64,176
Sum of prime factors
432

Primality

Prime factorization: 2 3 × 43 × 383

Nearest primes: 131,749 (−3) · 131,759 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 43 · 86 · 172 · 344 · 383 · 766 · 1532 · 3064 · 16469 · 32938 · 65876 (half) · 131752
Aliquot sum (sum of proper divisors): 121,688
Factor pairs (a × b = 131,752)
1 × 131752
2 × 65876
4 × 32938
8 × 16469
43 × 3064
86 × 1532
172 × 766
344 × 383
First multiples
131,752 · 263,504 (double) · 395,256 · 527,008 · 658,760 · 790,512 · 922,264 · 1,054,016 · 1,185,768 · 1,317,520

Sums & aliquot sequence

As consecutive integers: 8,227 + 8,228 + … + 8,242 3,043 + 3,044 + … + 3,085 153 + 154 + … + 535
Aliquot sequence: 131,752 121,688 150,472 172,088 204,112 191,386 136,718 69,994 36,566 19,594 10,394 5,200 8,254 4,130 4,510 4,562 2,284 — unresolved within range

Continued fraction of √n

√131,752 = [362; (1, 41, 1, 2, 2, 1, 1, 1, 1, 12, 8, 5, 1, 7, 18, 2, 18, 7, 1, 5, 8, 12, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand seven hundred fifty-two
Ordinal
131752nd
Binary
100000001010101000
Octal
401250
Hexadecimal
0x202A8
Base64
AgKo
One's complement
4,294,835,543 (32-bit)
Scientific notation
1.31752 × 10⁵
As a duration
131,752 s = 1 day, 12 hours, 35 minutes, 52 seconds
In other bases
ternary (3) 20200201201
quaternary (4) 200022220
quinary (5) 13204002
senary (6) 2453544
septenary (7) 1056055
nonary (9) 220651
undecimal (11) 8aa95
duodecimal (12) 642b4
tridecimal (13) 47c7a
tetradecimal (14) 3602c
pentadecimal (15) 29087

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαψνβʹ
Mayan (base 20)
𝋰·𝋩·𝋧·𝋬
Chinese
一十三萬一千七百五十二
Chinese (financial)
壹拾參萬壹仟柒佰伍拾貳
In other modern scripts
Eastern Arabic ١٣١٧٥٢ Devanagari १३१७५२ Bengali ১৩১৭৫২ Tamil ௧௩௧௭௫௨ Thai ๑๓๑๗๕๒ Tibetan ༡༣༡༧༥༢ Khmer ១៣១៧៥២ Lao ໑໓໑໗໕໒ Burmese ၁၃၁၇၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131752, here are decompositions:

  • 3 + 131749 = 131752
  • 41 + 131711 = 131752
  • 113 + 131639 = 131752
  • 191 + 131561 = 131752
  • 233 + 131519 = 131752
  • 251 + 131501 = 131752
  • 263 + 131489 = 131752
  • 311 + 131441 = 131752

Showing the first eight; more decompositions exist.

Unicode codepoint
𠊨
CJK Unified Ideograph-202A8
U+202A8
Other letter (Lo)

UTF-8 encoding: F0 A0 8A A8 (4 bytes).

Hex color
#0202A8
RGB(2, 2, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.168.

Address
0.2.2.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.168

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 131,752 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 131752 first appears in π at position 328,485 of the decimal expansion (the 328,485ordinal-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