number.wiki
Live analysis

133,072

133,072 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.).

133,072 (one hundred thirty-three thousand seventy-two) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,317. Written other ways, in hexadecimal, 0x207D0.

Deficient Number Harshad / Niven Moran Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
270,331
Square (n²)
17,708,157,184
Cube (n³)
2,356,459,892,789,248
Divisor count
10
σ(n) — sum of divisors
257,858
φ(n) — Euler's totient
66,528
Sum of prime factors
8,325

Primality

Prime factorization: 2 4 × 8317

Nearest primes: 133,069 (−3) · 133,073 (+1)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8317 · 16634 · 33268 · 66536 (half) · 133072
Aliquot sum (sum of proper divisors): 124,786
Factor pairs (a × b = 133,072)
1 × 133072
2 × 66536
4 × 33268
8 × 16634
16 × 8317
First multiples
133,072 · 266,144 (double) · 399,216 · 532,288 · 665,360 · 798,432 · 931,504 · 1,064,576 · 1,197,648 · 1,330,720

Sums & aliquot sequence

As a sum of two squares: 24² + 364²
As consecutive integers: 4,143 + 4,144 + … + 4,174
Aliquot sequence: 133,072 124,786 66,878 54,946 28,718 15,130 14,030 12,754 9,134 4,570 3,674 2,374 1,190 1,402 704 820 944 — unresolved within range

Continued fraction of √n

√133,072 = [364; (1, 3, 1, 3, 2, 1, 8, 1, 1, 5, 1, 1, 103, 1, 2, 5, 1, 21, 3, 1, 3, 14, 1, 13, …)]

Representations

In words
one hundred thirty-three thousand seventy-two
Ordinal
133072nd
Binary
100000011111010000
Octal
403720
Hexadecimal
0x207D0
Base64
AgfQ
One's complement
4,294,834,223 (32-bit)
Scientific notation
1.33072 × 10⁵
As a duration
133,072 s = 1 day, 12 hours, 57 minutes, 52 seconds
In other bases
ternary (3) 20202112121
quaternary (4) 200133100
quinary (5) 13224242
senary (6) 2504024
septenary (7) 1062652
nonary (9) 222477
undecimal (11) 90a85
duodecimal (12) 65014
tridecimal (13) 48754
tetradecimal (14) 366d2
pentadecimal (15) 29667

As an angle

133,072° = 369 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγοβʹ
Mayan (base 20)
𝋰·𝋬·𝋭·𝋬
Chinese
一十三萬三千零七十二
Chinese (financial)
壹拾參萬參仟零柒拾貳
In other modern scripts
Eastern Arabic ١٣٣٠٧٢ Devanagari १३३०७२ Bengali ১৩৩০৭২ Tamil ௧௩௩௦௭௨ Thai ๑๓๓๐๗๒ Tibetan ༡༣༣༠༧༢ Khmer ១៣៣០៧២ Lao ໑໓໓໐໗໒ Burmese ၁၃၃၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133072, here are decompositions:

  • 3 + 133069 = 133072
  • 59 + 133013 = 133072
  • 83 + 132989 = 133072
  • 101 + 132971 = 133072
  • 179 + 132893 = 133072
  • 239 + 132833 = 133072
  • 311 + 132761 = 133072
  • 383 + 132689 = 133072

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟐
CJK Unified Ideograph-207D0
U+207D0
Other letter (Lo)

UTF-8 encoding: F0 A0 9F 90 (4 bytes).

Hex color
#0207D0
RGB(2, 7, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.208.

Address
0.2.7.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.208

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 133,072 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 133072 first appears in π at position 24,009 of the decimal expansion (the 24,009ordinal-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