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131,652

131,652 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.).

131,652 (one hundred thirty-one thousand six hundred fifty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 23 × 53. Its proper divisors sum to 231,228, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20244.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
180
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
256,131
Recamán's sequence
a(229,068) = 131,652
Square (n²)
17,332,249,104
Cube (n³)
2,281,825,259,039,808
Divisor count
48
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
41,184
Sum of prime factors
89

Primality

Prime factorization: 2 2 × 3 3 × 23 × 53

Nearest primes: 131,641 (−11) · 131,671 (+19)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 23 · 27 · 36 · 46 · 53 · 54 · 69 · 92 · 106 · 108 · 138 · 159 · 207 · 212 · 276 · 318 · 414 · 477 · 621 · 636 · 828 · 954 · 1219 · 1242 · 1431 · 1908 · 2438 · 2484 · 2862 · 3657 · 4876 · 5724 · 7314 · 10971 · 14628 · 21942 · 32913 · 43884 · 65826 (half) · 131652
Aliquot sum (sum of proper divisors): 231,228
Factor pairs (a × b = 131,652)
1 × 131652
2 × 65826
3 × 43884
4 × 32913
6 × 21942
9 × 14628
12 × 10971
18 × 7314
23 × 5724
27 × 4876
36 × 3657
46 × 2862
53 × 2484
54 × 2438
69 × 1908
92 × 1431
106 × 1242
108 × 1219
138 × 954
159 × 828
207 × 636
212 × 621
276 × 477
318 × 414
First multiples
131,652 · 263,304 (double) · 394,956 · 526,608 · 658,260 · 789,912 · 921,564 · 1,053,216 · 1,184,868 · 1,316,520

Sums & aliquot sequence

As consecutive integers: 43,883 + 43,884 + 43,885 16,453 + 16,454 + … + 16,460 14,624 + 14,625 + … + 14,632 5,713 + 5,714 + … + 5,735
Aliquot sequence: 131,652 231,228 368,532 597,888 1,176,912 2,421,072 5,239,152 9,423,600 20,767,176 35,477,454 40,960,050 60,621,246 90,542,754 111,962,718 172,053,378 253,983,870 533,108,610 — unresolved within range

Continued fraction of √n

√131,652 = [362; (1, 5, 4, 1, 9, 1, 6, 2, 2, 1, 2, 1, 2, 2, 6, 1, 9, 1, 4, 5, 1, 724)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred fifty-two
Ordinal
131652nd
Binary
100000001001000100
Octal
401104
Hexadecimal
0x20244
Base64
AgJE
One's complement
4,294,835,643 (32-bit)
Scientific notation
1.31652 × 10⁵
As a duration
131,652 s = 1 day, 12 hours, 34 minutes, 12 seconds
In other bases
ternary (3) 20200121000
quaternary (4) 200021010
quinary (5) 13203102
senary (6) 2453300
septenary (7) 1055553
nonary (9) 220530
undecimal (11) 8aa04
duodecimal (12) 64230
tridecimal (13) 47c01
tetradecimal (14) 35d9a
pentadecimal (15) 2901c
Palindromic in base 8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαχνβʹ
Mayan (base 20)
𝋰·𝋩·𝋢·𝋬
Chinese
一十三萬一千六百五十二
Chinese (financial)
壹拾參萬壹仟陸佰伍拾貳
In other modern scripts
Eastern Arabic ١٣١٦٥٢ Devanagari १३१६५२ Bengali ১৩১৬৫২ Tamil ௧௩௧௬௫௨ Thai ๑๓๑๖๕๒ Tibetan ༡༣༡༦༥༢ Khmer ១៣១៦៥២ Lao ໑໓໑໖໕໒ Burmese ၁၃၁၆၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131652, here are decompositions:

  • 11 + 131641 = 131652
  • 13 + 131639 = 131652
  • 41 + 131611 = 131652
  • 61 + 131591 = 131652
  • 71 + 131581 = 131652
  • 109 + 131543 = 131652
  • 151 + 131501 = 131652
  • 163 + 131489 = 131652

Showing the first eight; more decompositions exist.

Unicode codepoint
𠉄
CJK Unified Ideograph-20244
U+20244
Other letter (Lo)

UTF-8 encoding: F0 A0 89 84 (4 bytes).

Hex color
#020244
RGB(2, 2, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.68.

Address
0.2.2.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.68

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 131,652 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 131652 first appears in π at position 664,319 of the decimal expansion (the 664,319ordinal-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°.