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132,398

132,398 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.).

132,398 (one hundred thirty-two thousand three hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7³ × 193. Written other ways, in hexadecimal, 0x2052E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,296
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
893,231
Recamán's sequence
a(227,576) = 132,398
Square (n²)
17,529,230,404
Cube (n³)
2,320,835,047,028,792
Divisor count
16
σ(n) — sum of divisors
232,800
φ(n) — Euler's totient
56,448
Sum of prime factors
216

Primality

Prime factorization: 2 × 7 3 × 193

Nearest primes: 132,383 (−15) · 132,403 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 49 · 98 · 193 · 343 · 386 · 686 · 1351 · 2702 · 9457 · 18914 · 66199 (half) · 132398
Aliquot sum (sum of proper divisors): 100,402
Factor pairs (a × b = 132,398)
1 × 132398
2 × 66199
7 × 18914
14 × 9457
49 × 2702
98 × 1351
193 × 686
343 × 386
First multiples
132,398 · 264,796 (double) · 397,194 · 529,592 · 661,990 · 794,388 · 926,786 · 1,059,184 · 1,191,582 · 1,323,980

Sums & aliquot sequence

As consecutive integers: 33,098 + 33,099 + 33,100 + 33,101 18,911 + 18,912 + … + 18,917 4,715 + 4,716 + … + 4,742 2,678 + 2,679 + … + 2,726
Aliquot sequence: 132,398 100,402 59,114 37,654 19,874 11,566 5,786 3,718 2,870 3,178 2,294 1,354 680 940 1,076 814 554 — unresolved within range

Continued fraction of √n

√132,398 = [363; (1, 6, 2, 2, 1, 14, 7, 7, 3, 1, 1, 14, 3, 1, 1, 6, 1, 5, 1, 13, 1, 362, 1, 13, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred ninety-eight
Ordinal
132398th
Binary
100000010100101110
Octal
402456
Hexadecimal
0x2052E
Base64
AgUu
One's complement
4,294,834,897 (32-bit)
Scientific notation
1.32398 × 10⁵
As a duration
132,398 s = 1 day, 12 hours, 46 minutes, 38 seconds
In other bases
ternary (3) 20201121122
quaternary (4) 200110232
quinary (5) 13214043
senary (6) 2500542
septenary (7) 1061000
nonary (9) 221548
undecimal (11) 90522
duodecimal (12) 64752
tridecimal (13) 48356
tetradecimal (14) 36370
pentadecimal (15) 29368

As an angle

132,398° = 367 × 360° + 278°
278° ≈ 4.852 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβτϟηʹ
Mayan (base 20)
𝋰·𝋪·𝋳·𝋲
Chinese
一十三萬二千三百九十八
Chinese (financial)
壹拾參萬貳仟參佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٢٣٩٨ Devanagari १३२३९८ Bengali ১৩২৩৯৮ Tamil ௧௩௨௩௯௮ Thai ๑๓๒๓๙๘ Tibetan ༡༣༢༣༩༨ Khmer ១៣២៣៩៨ Lao ໑໓໒໓໙໘ Burmese ၁၃၂၃၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132398, here are decompositions:

  • 31 + 132367 = 132398
  • 37 + 132361 = 132398
  • 67 + 132331 = 132398
  • 151 + 132247 = 132398
  • 157 + 132241 = 132398
  • 199 + 132199 = 132398
  • 229 + 132169 = 132398
  • 241 + 132157 = 132398

Showing the first eight; more decompositions exist.

Unicode codepoint
𠔮
CJK Unified Ideograph-2052E
U+2052E
Other letter (Lo)

UTF-8 encoding: F0 A0 94 AE (4 bytes).

Hex color
#02052E
RGB(2, 5, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.46.

Address
0.2.5.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.46

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 132,398 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 132398 first appears in π at position 26,717 of the decimal expansion (the 26,717ordinal-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.