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133,744

133,744 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.).

133,744 (one hundred thirty-three thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 643. Its proper divisors sum to 145,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A70.

Abundant Number Evil Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
1,008
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
447,331
Square (n²)
17,887,457,536
Cube (n³)
2,392,340,120,694,784
Divisor count
20
σ(n) — sum of divisors
279,496
φ(n) — Euler's totient
61,632
Sum of prime factors
664

Primality

Prime factorization: 2 4 × 13 × 643

Nearest primes: 133,733 (−11) · 133,769 (+25)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 643 · 1286 · 2572 · 5144 · 8359 · 10288 · 16718 · 33436 · 66872 (half) · 133744
Aliquot sum (sum of proper divisors): 145,752
Factor pairs (a × b = 133,744)
1 × 133744
2 × 66872
4 × 33436
8 × 16718
13 × 10288
16 × 8359
26 × 5144
52 × 2572
104 × 1286
208 × 643
First multiples
133,744 · 267,488 (double) · 401,232 · 534,976 · 668,720 · 802,464 · 936,208 · 1,069,952 · 1,203,696 · 1,337,440

Sums & aliquot sequence

As consecutive integers: 10,282 + 10,283 + … + 10,294 4,164 + 4,165 + … + 4,195 114 + 115 + … + 529
Aliquot sequence: 133,744 145,752 218,688 403,104 866,976 1,618,752 2,664,704 3,418,240 6,174,860 7,070,260 7,835,540 8,677,012 6,765,548 5,074,168 5,875,232 6,743,920 8,935,880 — unresolved within range

Continued fraction of √n

√133,744 = [365; (1, 2, 2, 4, 1, 1, 1, 6, 3, 8, 1, 2, 2, 10, 1, 4, 1, 3, 8, 6, 1, 5, 2, 4, …)]

Representations

In words
one hundred thirty-three thousand seven hundred forty-four
Ordinal
133744th
Binary
100000101001110000
Octal
405160
Hexadecimal
0x20A70
Base64
Agpw
One's complement
4,294,833,551 (32-bit)
Scientific notation
1.33744 × 10⁵
As a duration
133,744 s = 1 day, 13 hours, 9 minutes, 4 seconds
In other bases
ternary (3) 20210110111
quaternary (4) 200221300
quinary (5) 13234434
senary (6) 2511104
septenary (7) 1064632
nonary (9) 223414
undecimal (11) 91536
duodecimal (12) 65494
tridecimal (13) 48b50
tetradecimal (14) 36a52
pentadecimal (15) 29964

As an angle

133,744° = 371 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψμδʹ
Mayan (base 20)
𝋰·𝋮·𝋧·𝋤
Chinese
一十三萬三千七百四十四
Chinese (financial)
壹拾參萬參仟柒佰肆拾肆
In other modern scripts
Eastern Arabic ١٣٣٧٤٤ Devanagari १३३७४४ Bengali ১৩৩৭৪৪ Tamil ௧௩௩௭௪௪ Thai ๑๓๓๗๔๔ Tibetan ༡༣༣༧༤༤ Khmer ១៣៣៧៤៤ Lao ໑໓໓໗໔໔ Burmese ၁၃၃၇၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133744, here are decompositions:

  • 11 + 133733 = 133744
  • 47 + 133697 = 133744
  • 53 + 133691 = 133744
  • 71 + 133673 = 133744
  • 113 + 133631 = 133744
  • 173 + 133571 = 133744
  • 251 + 133493 = 133744
  • 263 + 133481 = 133744

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩰
CJK Unified Ideograph-20A70
U+20A70
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 B0 (4 bytes).

Hex color
#020A70
RGB(2, 10, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.112.

Address
0.2.10.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.112

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 133,744 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 133744 first appears in π at position 435,255 of the decimal expansion (the 435,255ordinal-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