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133,614

133,614 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.).

133,614 (one hundred thirty-three thousand six hundred fourteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 571. Its proper divisors sum to 178,698, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209EE.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
216
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
416,331
Square (n²)
17,852,700,996
Cube (n³)
2,385,370,790,879,544
Divisor count
24
σ(n) — sum of divisors
312,312
φ(n) — Euler's totient
41,040
Sum of prime factors
592

Primality

Prime factorization: 2 × 3 2 × 13 × 571

Nearest primes: 133,597 (−17) · 133,631 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 571 · 1142 · 1713 · 3426 · 5139 · 7423 · 10278 · 14846 · 22269 · 44538 · 66807 (half) · 133614
Aliquot sum (sum of proper divisors): 178,698
Factor pairs (a × b = 133,614)
1 × 133614
2 × 66807
3 × 44538
6 × 22269
9 × 14846
13 × 10278
18 × 7423
26 × 5139
39 × 3426
78 × 1713
117 × 1142
234 × 571
First multiples
133,614 · 267,228 (double) · 400,842 · 534,456 · 668,070 · 801,684 · 935,298 · 1,068,912 · 1,202,526 · 1,336,140

Sums & aliquot sequence

As a sum of two cubes: 31³ + 47³
As consecutive integers: 44,537 + 44,538 + 44,539 33,402 + 33,403 + 33,404 + 33,405 14,842 + 14,843 + … + 14,850 11,129 + 11,130 + … + 11,140
Aliquot sequence: 133,614 178,698 224,502 273,162 284,118 284,130 659,358 973,650 1,441,374 1,703,586 1,716,414 2,206,914 2,206,926 3,034,674 3,666,618 4,535,238 5,095,482 — unresolved within range

Continued fraction of √n

√133,614 = [365; (1, 1, 7, 5, 7, 1, 12, 1, 10, 1, 6, 3, 9, 1, 1, 3, 1, 1, 2, 1, 1, 3, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred fourteen
Ordinal
133614th
Binary
100000100111101110
Octal
404756
Hexadecimal
0x209EE
Base64
Agnu
One's complement
4,294,833,681 (32-bit)
Scientific notation
1.33614 × 10⁵
As a duration
133,614 s = 1 day, 13 hours, 6 minutes, 54 seconds
In other bases
ternary (3) 20210021200
quaternary (4) 200213232
quinary (5) 13233424
senary (6) 2510330
septenary (7) 1064355
nonary (9) 223250
undecimal (11) 91428
duodecimal (12) 653a6
tridecimal (13) 48a80
tetradecimal (14) 3699c
pentadecimal (15) 298c9

As an angle

133,614° = 371 × 360° + 54°
54° ≈ 0.942 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχιδʹ
Mayan (base 20)
𝋰·𝋮·𝋠·𝋮
Chinese
一十三萬三千六百一十四
Chinese (financial)
壹拾參萬參仟陸佰壹拾肆
In other modern scripts
Eastern Arabic ١٣٣٦١٤ Devanagari १३३६१४ Bengali ১৩৩৬১৪ Tamil ௧௩௩௬௧௪ Thai ๑๓๓๖๑๔ Tibetan ༡༣༣༦༡༤ Khmer ១៣៣៦១៤ Lao ໑໓໓໖໑໔ Burmese ၁၃၃၆၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133614, here are decompositions:

  • 17 + 133597 = 133614
  • 31 + 133583 = 133614
  • 43 + 133571 = 133614
  • 71 + 133543 = 133614
  • 73 + 133541 = 133614
  • 163 + 133451 = 133614
  • 167 + 133447 = 133614
  • 197 + 133417 = 133614

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧮
CJK Unified Ideograph-209Ee
U+209EE
Other letter (Lo)

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

Hex color
#0209EE
RGB(2, 9, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.238.

Address
0.2.9.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.238

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 133,614 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 133614 first appears in π at position 40,670 of the decimal expansion (the 40,670ordinal-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°.