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133,410

133,410 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.).

133,410 (one hundred thirty-three thousand four hundred ten) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,447. Its proper divisors sum to 186,846, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20922.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
14,331
Recamán's sequence
a(35,480) = 133,410
Square (n²)
17,798,228,100
Cube (n³)
2,374,461,610,821,000
Divisor count
16
σ(n) — sum of divisors
320,256
φ(n) — Euler's totient
35,568
Sum of prime factors
4,457

Primality

Prime factorization: 2 × 3 × 5 × 4447

Nearest primes: 133,403 (−7) · 133,417 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4447 · 8894 · 13341 · 22235 · 26682 · 44470 · 66705 (half) · 133410
Aliquot sum (sum of proper divisors): 186,846
Factor pairs (a × b = 133,410)
1 × 133410
2 × 66705
3 × 44470
5 × 26682
6 × 22235
10 × 13341
15 × 8894
30 × 4447
First multiples
133,410 · 266,820 (double) · 400,230 · 533,640 · 667,050 · 800,460 · 933,870 · 1,067,280 · 1,200,690 · 1,334,100

Sums & aliquot sequence

As consecutive integers: 44,469 + 44,470 + 44,471 33,351 + 33,352 + 33,353 + 33,354 26,680 + 26,681 + 26,682 + 26,683 + 26,684 11,112 + 11,113 + … + 11,123
Aliquot sequence: 133,410 186,846 245,154 359,646 462,498 511,422 511,434 952,182 1,697,418 2,007,738 2,406,438 2,807,550 5,200,866 7,092,558 9,873,378 11,518,980 24,865,788 — unresolved within range

Continued fraction of √n

√133,410 = [365; (3, 1, 17, 1, 51, 4, 3, 3, 2, 1, 3, 14, 1, 1, 1, 3, 5, 2, 1, 1, 3, 4, 3, 6, …)]

Representations

In words
one hundred thirty-three thousand four hundred ten
Ordinal
133410th
Binary
100000100100100010
Octal
404442
Hexadecimal
0x20922
Base64
Agki
One's complement
4,294,833,885 (32-bit)
Scientific notation
1.3341 × 10⁵
As a duration
133,410 s = 1 day, 13 hours, 3 minutes, 30 seconds
In other bases
ternary (3) 20210000010
quaternary (4) 200210202
quinary (5) 13232120
senary (6) 2505350
septenary (7) 1063644
nonary (9) 223003
undecimal (11) 91262
duodecimal (12) 65256
tridecimal (13) 48954
tetradecimal (14) 36894
pentadecimal (15) 297e0
Palindromic in base 12

As an angle

133,410° = 370 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρλγυιʹ
Mayan (base 20)
𝋰·𝋭·𝋪·𝋪
Chinese
一十三萬三千四百一十
Chinese (financial)
壹拾參萬參仟肆佰壹拾
In other modern scripts
Eastern Arabic ١٣٣٤١٠ Devanagari १३३४१० Bengali ১৩৩৪১০ Tamil ௧௩௩௪௧௦ Thai ๑๓๓๔๑๐ Tibetan ༡༣༣༤༡༠ Khmer ១៣៣៤១០ Lao ໑໓໓໔໑໐ Burmese ၁၃၃၄၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133410, here are decompositions:

  • 7 + 133403 = 133410
  • 19 + 133391 = 133410
  • 23 + 133387 = 133410
  • 31 + 133379 = 133410
  • 59 + 133351 = 133410
  • 61 + 133349 = 133410
  • 73 + 133337 = 133410
  • 83 + 133327 = 133410

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤢
CJK Unified Ideograph-20922
U+20922
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 A2 (4 bytes).

Hex color
#020922
RGB(2, 9, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.34.

Address
0.2.9.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.34

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 133,410 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 133410 first appears in π at position 217,904 of the decimal expansion (the 217,904ordinal-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°.