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132,825

132,825 is a composite number, odd.

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.).

132,825 (one hundred thirty-two thousand eight hundred twenty-five) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3 × 5² × 7 × 11 × 23. Its proper divisors sum to 152,871, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206D9.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
21
Digit product
480
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
528,231
Square (n²)
17,642,480,625
Cube (n³)
2,343,362,489,015,625
Divisor count
48
σ(n) — sum of divisors
285,696
φ(n) — Euler's totient
52,800
Sum of prime factors
54

Primality

Prime factorization: 3 × 5 2 × 7 × 11 × 23

Nearest primes: 132,817 (−8) · 132,833 (+8)

Divisors & multiples

All divisors (48)
1 · 3 · 5 · 7 · 11 · 15 · 21 · 23 · 25 · 33 · 35 · 55 · 69 · 75 · 77 · 105 · 115 · 161 · 165 · 175 · 231 · 253 · 275 · 345 · 385 · 483 · 525 · 575 · 759 · 805 · 825 · 1155 · 1265 · 1725 · 1771 · 1925 · 2415 · 3795 · 4025 · 5313 · 5775 · 6325 · 8855 · 12075 · 18975 · 26565 · 44275 · 132825
Aliquot sum (sum of proper divisors): 152,871
Factor pairs (a × b = 132,825)
1 × 132825
3 × 44275
5 × 26565
7 × 18975
11 × 12075
15 × 8855
21 × 6325
23 × 5775
25 × 5313
33 × 4025
35 × 3795
55 × 2415
69 × 1925
75 × 1771
77 × 1725
105 × 1265
115 × 1155
161 × 825
165 × 805
175 × 759
231 × 575
253 × 525
275 × 483
345 × 385
First multiples
132,825 · 265,650 (double) · 398,475 · 531,300 · 664,125 · 796,950 · 929,775 · 1,062,600 · 1,195,425 · 1,328,250

Sums & aliquot sequence

As consecutive integers: 66,412 + 66,413 44,274 + 44,275 + 44,276 26,563 + 26,564 + 26,565 + 26,566 + 26,567 22,135 + 22,136 + 22,137 + 22,138 + 22,139 + 22,140
Aliquot sequence: 132,825 152,871 50,961 16,991 1,321 1 0 — terminates at zero

Continued fraction of √n

√132,825 = [364; (2, 4, 1, 2, 34, 2, 1, 4, 2, 728)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight hundred twenty-five
Ordinal
132825th
Binary
100000011011011001
Octal
403331
Hexadecimal
0x206D9
Base64
AgbZ
One's complement
4,294,834,470 (32-bit)
Scientific notation
1.32825 × 10⁵
As a duration
132,825 s = 1 day, 12 hours, 53 minutes, 45 seconds
In other bases
ternary (3) 20202012110
quaternary (4) 200123121
quinary (5) 13222300
senary (6) 2502533
septenary (7) 1062150
nonary (9) 222173
undecimal (11) 90880
duodecimal (12) 64a49
tridecimal (13) 485c4
tetradecimal (14) 36597
pentadecimal (15) 29550

As an angle

132,825° = 368 × 360° + 345°
345° ≈ 6.021 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβωκεʹ
Mayan (base 20)
𝋰·𝋬·𝋡·𝋥
Chinese
一十三萬二千八百二十五
Chinese (financial)
壹拾參萬貳仟捌佰貳拾伍
In other modern scripts
Eastern Arabic ١٣٢٨٢٥ Devanagari १३२८२५ Bengali ১৩২৮২৫ Tamil ௧௩௨௮௨௫ Thai ๑๓๒๘๒๕ Tibetan ༡༣༢༨༢༥ Khmer ១៣២៨២៥ Lao ໑໓໒໘໒໕ Burmese ၁၃၂၈၂၅

Also seen as

Unicode codepoint
𠛙
CJK Unified Ideograph-206D9
U+206D9
Other letter (Lo)

UTF-8 encoding: F0 A0 9B 99 (4 bytes).

Hex color
#0206D9
RGB(2, 6, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.217.

Address
0.2.6.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.217

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 132,825 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 132825 first appears in π at position 686,709 of the decimal expansion (the 686,709ordinal-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°.