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132,714

132,714 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.).

132,714 (one hundred thirty-two thousand seven hundred fourteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 73 × 101. Its proper divisors sum to 161,658, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2066A.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
168
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
417,231
Square (n²)
17,613,005,796
Cube (n³)
2,337,492,451,210,344
Divisor count
24
σ(n) — sum of divisors
294,372
φ(n) — Euler's totient
43,200
Sum of prime factors
182

Primality

Prime factorization: 2 × 3 2 × 73 × 101

Nearest primes: 132,709 (−5) · 132,721 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 73 · 101 · 146 · 202 · 219 · 303 · 438 · 606 · 657 · 909 · 1314 · 1818 · 7373 · 14746 · 22119 · 44238 · 66357 (half) · 132714
Aliquot sum (sum of proper divisors): 161,658
Factor pairs (a × b = 132,714)
1 × 132714
2 × 66357
3 × 44238
6 × 22119
9 × 14746
18 × 7373
73 × 1818
101 × 1314
146 × 909
202 × 657
219 × 606
303 × 438
First multiples
132,714 · 265,428 (double) · 398,142 · 530,856 · 663,570 · 796,284 · 928,998 · 1,061,712 · 1,194,426 · 1,327,140

Sums & aliquot sequence

As a sum of two squares: 117² + 345² = 183² + 315²
As consecutive integers: 44,237 + 44,238 + 44,239 33,177 + 33,178 + 33,179 + 33,180 14,742 + 14,743 + … + 14,750 11,054 + 11,055 + … + 11,065
Aliquot sequence: 132,714 161,658 238,950 436,230 737,514 860,472 1,807,128 3,348,672 5,649,024 9,724,416 18,232,128 35,828,978 20,149,582 10,457,618 6,151,594 3,075,800 5,777,800 — unresolved within range

Continued fraction of √n

√132,714 = [364; (3, 2, 1, 14, 5, 1, 9, 2, 2, 1, 10, 2, 80, 2, 10, 1, 2, 2, 9, 1, 5, 14, 1, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred fourteen
Ordinal
132714th
Binary
100000011001101010
Octal
403152
Hexadecimal
0x2066A
Base64
AgZq
One's complement
4,294,834,581 (32-bit)
Scientific notation
1.32714 × 10⁵
As a duration
132,714 s = 1 day, 12 hours, 51 minutes, 54 seconds
In other bases
ternary (3) 20202001100
quaternary (4) 200121222
quinary (5) 13221324
senary (6) 2502230
septenary (7) 1061631
nonary (9) 222040
undecimal (11) 9078a
duodecimal (12) 64976
tridecimal (13) 4853a
tetradecimal (14) 36518
pentadecimal (15) 294c9

As an angle

132,714° = 368 × 360° + 234°
234° ≈ 4.084 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψιδʹ
Mayan (base 20)
𝋰·𝋫·𝋯·𝋮
Chinese
一十三萬二千七百一十四
Chinese (financial)
壹拾參萬貳仟柒佰壹拾肆
In other modern scripts
Eastern Arabic ١٣٢٧١٤ Devanagari १३२७१४ Bengali ১৩২৭১৪ Tamil ௧௩௨௭௧௪ Thai ๑๓๒๗๑๔ Tibetan ༡༣༢༧༡༤ Khmer ១៣២៧១៤ Lao ໑໓໒໗໑໔ Burmese ၁၃၂၇၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132714, here are decompositions:

  • 5 + 132709 = 132714
  • 7 + 132707 = 132714
  • 13 + 132701 = 132714
  • 17 + 132697 = 132714
  • 47 + 132667 = 132714
  • 53 + 132661 = 132714
  • 67 + 132647 = 132714
  • 83 + 132631 = 132714

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙪
CJK Unified Ideograph-2066A
U+2066A
Other letter (Lo)

UTF-8 encoding: F0 A0 99 AA (4 bytes).

Hex color
#02066A
RGB(2, 6, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.106.

Address
0.2.6.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.106

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 132,714 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 132714 first appears in π at position 959,491 of the decimal expansion (the 959,491ordinal-suffix:st 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°.