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133,572

133,572 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.).

133,572 (one hundred thirty-three thousand five hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,131. Its proper divisors sum to 178,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209C4.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
630
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
275,331
Square (n²)
17,841,479,184
Cube (n³)
2,383,122,057,565,248
Divisor count
12
σ(n) — sum of divisors
311,696
φ(n) — Euler's totient
44,520
Sum of prime factors
11,138

Primality

Prime factorization: 2 2 × 3 × 11131

Nearest primes: 133,571 (−1) · 133,583 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11131 · 22262 · 33393 · 44524 · 66786 (half) · 133572
Aliquot sum (sum of proper divisors): 178,124
Factor pairs (a × b = 133,572)
1 × 133572
2 × 66786
3 × 44524
4 × 33393
6 × 22262
12 × 11131
First multiples
133,572 · 267,144 (double) · 400,716 · 534,288 · 667,860 · 801,432 · 935,004 · 1,068,576 · 1,202,148 · 1,335,720

Sums & aliquot sequence

As consecutive integers: 44,523 + 44,524 + 44,525 16,693 + 16,694 + … + 16,700 5,554 + 5,555 + … + 5,577
Aliquot sequence: 133,572 178,124 133,600 194,504 179,716 137,804 108,820 119,744 118,000 172,160 240,940 337,652 361,228 420,812 488,908 541,492 559,244 — unresolved within range

Continued fraction of √n

√133,572 = [365; (2, 9, 1, 1, 18, 4, 1, 1, 1, 1, 22, 4, 3, 1, 1, 3, 1, 2, 6, 2, 8, 2, 1, 10, …)]

Representations

In words
one hundred thirty-three thousand five hundred seventy-two
Ordinal
133572nd
Binary
100000100111000100
Octal
404704
Hexadecimal
0x209C4
Base64
AgnE
One's complement
4,294,833,723 (32-bit)
Scientific notation
1.33572 × 10⁵
As a duration
133,572 s = 1 day, 13 hours, 6 minutes, 12 seconds
In other bases
ternary (3) 20210020010
quaternary (4) 200213010
quinary (5) 13233242
senary (6) 2510220
septenary (7) 1064265
nonary (9) 223203
undecimal (11) 9139a
duodecimal (12) 65370
tridecimal (13) 48a4a
tetradecimal (14) 3696c
pentadecimal (15) 2989c

As an angle

133,572° = 371 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγφοβʹ
Mayan (base 20)
𝋰·𝋭·𝋲·𝋬
Chinese
一十三萬三千五百七十二
Chinese (financial)
壹拾參萬參仟伍佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٣٥٧٢ Devanagari १३३५७२ Bengali ১৩৩৫৭২ Tamil ௧௩௩௫௭௨ Thai ๑๓๓๕๗๒ Tibetan ༡༣༣༥༧༢ Khmer ១៣៣៥៧២ Lao ໑໓໓໕໗໒ Burmese ၁၃၃၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133572, here are decompositions:

  • 13 + 133559 = 133572
  • 29 + 133543 = 133572
  • 31 + 133541 = 133572
  • 53 + 133519 = 133572
  • 73 + 133499 = 133572
  • 79 + 133493 = 133572
  • 181 + 133391 = 133572
  • 193 + 133379 = 133572

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧄
CJK Unified Ideograph-209C4
U+209C4
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 84 (4 bytes).

Hex color
#0209C4
RGB(2, 9, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.196.

Address
0.2.9.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.196

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 133,572 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 133572 first appears in π at position 32,973 of the decimal expansion (the 32,973ordinal-suffix:rd 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°.