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133,272

133,272 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.).

133,272 (one hundred thirty-three thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3³ × 617. Its proper divisors sum to 237,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20898.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
252
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
272,331
Square (n²)
17,761,425,984
Cube (n³)
2,367,100,763,739,648
Divisor count
32
σ(n) — sum of divisors
370,800
φ(n) — Euler's totient
44,352
Sum of prime factors
632

Primality

Prime factorization: 2 3 × 3 3 × 617

Nearest primes: 133,271 (−1) · 133,277 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 108 · 216 · 617 · 1234 · 1851 · 2468 · 3702 · 4936 · 5553 · 7404 · 11106 · 14808 · 16659 · 22212 · 33318 · 44424 · 66636 (half) · 133272
Aliquot sum (sum of proper divisors): 237,528
Factor pairs (a × b = 133,272)
1 × 133272
2 × 66636
3 × 44424
4 × 33318
6 × 22212
8 × 16659
9 × 14808
12 × 11106
18 × 7404
24 × 5553
27 × 4936
36 × 3702
54 × 2468
72 × 1851
108 × 1234
216 × 617
First multiples
133,272 · 266,544 (double) · 399,816 · 533,088 · 666,360 · 799,632 · 932,904 · 1,066,176 · 1,199,448 · 1,332,720

Sums & aliquot sequence

As consecutive integers: 44,423 + 44,424 + 44,425 14,804 + 14,805 + … + 14,812 8,322 + 8,323 + … + 8,337 4,923 + 4,924 + … + 4,949
Aliquot sequence: 133,272 237,528 405,972 813,708 1,537,732 1,537,788 2,563,204 2,730,364 3,192,980 4,470,508 4,607,764 4,772,726 3,409,114 1,741,766 1,163,962 581,984 652,816 — unresolved within range

Continued fraction of √n

√133,272 = [365; (15, 1, 1, 7, 91, 7, 1, 1, 15, 730)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred seventy-two
Ordinal
133272nd
Binary
100000100010011000
Octal
404230
Hexadecimal
0x20898
Base64
AgiY
One's complement
4,294,834,023 (32-bit)
Scientific notation
1.33272 × 10⁵
As a duration
133,272 s = 1 day, 13 hours, 1 minute, 12 seconds
In other bases
ternary (3) 20202211000
quaternary (4) 200202120
quinary (5) 13231042
senary (6) 2505000
septenary (7) 1063356
nonary (9) 222730
undecimal (11) 91147
duodecimal (12) 65160
tridecimal (13) 48879
tetradecimal (14) 367d6
pentadecimal (15) 2974c

As an angle

133,272° = 370 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγσοβʹ
Mayan (base 20)
𝋰·𝋭·𝋣·𝋬
Chinese
一十三萬三千二百七十二
Chinese (financial)
壹拾參萬參仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٣٢٧٢ Devanagari १३३२७२ Bengali ১৩৩২৭২ Tamil ௧௩௩௨௭௨ Thai ๑๓๓๒๗๒ Tibetan ༡༣༣༢༧༢ Khmer ១៣៣២៧២ Lao ໑໓໓໒໗໒ Burmese ၁၃၃၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133272, here are decompositions:

  • 11 + 133261 = 133272
  • 19 + 133253 = 133272
  • 31 + 133241 = 133272
  • 59 + 133213 = 133272
  • 71 + 133201 = 133272
  • 89 + 133183 = 133272
  • 103 + 133169 = 133272
  • 151 + 133121 = 133272

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢘
CJK Unified Ideograph-20898
U+20898
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 98 (4 bytes).

Hex color
#020898
RGB(2, 8, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.152.

Address
0.2.8.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.152

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 133,272 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 133272 first appears in π at position 27,537 of the decimal expansion (the 27,537ordinal-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°.