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133,742

133,742 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.).

133,742 (one hundred thirty-three thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 41 × 233. Written other ways, in hexadecimal, 0x20A6E.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
504
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
247,331
Square (n²)
17,886,922,564
Cube (n³)
2,392,232,797,554,488
Divisor count
16
σ(n) — sum of divisors
235,872
φ(n) — Euler's totient
55,680
Sum of prime factors
283

Primality

Prime factorization: 2 × 7 × 41 × 233

Nearest primes: 133,733 (−9) · 133,769 (+27)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 41 · 82 · 233 · 287 · 466 · 574 · 1631 · 3262 · 9553 · 19106 · 66871 (half) · 133742
Aliquot sum (sum of proper divisors): 102,130
Factor pairs (a × b = 133,742)
1 × 133742
2 × 66871
7 × 19106
14 × 9553
41 × 3262
82 × 1631
233 × 574
287 × 466
First multiples
133,742 · 267,484 (double) · 401,226 · 534,968 · 668,710 · 802,452 · 936,194 · 1,069,936 · 1,203,678 · 1,337,420

Sums & aliquot sequence

As consecutive integers: 33,434 + 33,435 + 33,436 + 33,437 19,103 + 19,104 + … + 19,109 4,763 + 4,764 + … + 4,790 3,242 + 3,243 + … + 3,282
Aliquot sequence: 133,742 102,130 108,110 97,090 116,030 98,674 51,086 39,634 32,366 16,186 8,096 10,048 10,018 5,012 5,068 5,124 8,764 — unresolved within range

Continued fraction of √n

√133,742 = [365; (1, 2, 2, 2, 1, 1, 2, 6, 11, 1, 1, 1, 3, 1, 1, 3, 23, 3, 5, 5, 1, 5, 1, 364, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred forty-two
Ordinal
133742nd
Binary
100000101001101110
Octal
405156
Hexadecimal
0x20A6E
Base64
Agpu
One's complement
4,294,833,553 (32-bit)
Scientific notation
1.33742 × 10⁵
As a duration
133,742 s = 1 day, 13 hours, 9 minutes, 2 seconds
In other bases
ternary (3) 20210110102
quaternary (4) 200221232
quinary (5) 13234432
senary (6) 2511102
septenary (7) 1064630
nonary (9) 223412
undecimal (11) 91534
duodecimal (12) 65492
tridecimal (13) 48b4b
tetradecimal (14) 36a50
pentadecimal (15) 29962

As an angle

133,742° = 371 × 360° + 182°
182° ≈ 3.176 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγψμβʹ
Mayan (base 20)
𝋰·𝋮·𝋧·𝋢
Chinese
一十三萬三千七百四十二
Chinese (financial)
壹拾參萬參仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٣٧٤٢ Devanagari १३३७४२ Bengali ১৩৩৭৪২ Tamil ௧௩௩௭௪௨ Thai ๑๓๓๗๔๒ Tibetan ༡༣༣༧༤༢ Khmer ១៣៣៧៤២ Lao ໑໓໓໗໔໒ Burmese ၁၃၃၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133742, here are decompositions:

  • 19 + 133723 = 133742
  • 31 + 133711 = 133742
  • 73 + 133669 = 133742
  • 109 + 133633 = 133742
  • 199 + 133543 = 133742
  • 223 + 133519 = 133742
  • 421 + 133321 = 133742
  • 439 + 133303 = 133742

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩮
CJK Unified Ideograph-20A6E
U+20A6E
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 AE (4 bytes).

Hex color
#020A6E
RGB(2, 10, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.110.

Address
0.2.10.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.110

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 133,742 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 133742 first appears in π at position 385,314 of the decimal expansion (the 385,314ordinal-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.