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134,616

134,616 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.).

134,616 (one hundred thirty-four thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 71 × 79. Its proper divisors sum to 210,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20DD8.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
432
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
616,431
Square (n²)
18,121,467,456
Cube (n³)
2,439,439,463,056,896
Divisor count
32
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
43,680
Sum of prime factors
159

Primality

Prime factorization: 2 3 × 3 × 71 × 79

Nearest primes: 134,609 (−7) · 134,639 (+23)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 71 · 79 · 142 · 158 · 213 · 237 · 284 · 316 · 426 · 474 · 568 · 632 · 852 · 948 · 1704 · 1896 · 5609 · 11218 · 16827 · 22436 · 33654 · 44872 · 67308 (half) · 134616
Aliquot sum (sum of proper divisors): 210,984
Factor pairs (a × b = 134,616)
1 × 134616
2 × 67308
3 × 44872
4 × 33654
6 × 22436
8 × 16827
12 × 11218
24 × 5609
71 × 1896
79 × 1704
142 × 948
158 × 852
213 × 632
237 × 568
284 × 474
316 × 426
First multiples
134,616 · 269,232 (double) · 403,848 · 538,464 · 673,080 · 807,696 · 942,312 · 1,076,928 · 1,211,544 · 1,346,160

Sums & aliquot sequence

As consecutive integers: 44,871 + 44,872 + 44,873 8,406 + 8,407 + … + 8,421 2,781 + 2,782 + … + 2,828 1,861 + 1,862 + … + 1,931
Aliquot sequence: 134,616 210,984 329,016 493,584 1,089,648 2,624,400 6,832,801 1 0 — terminates at zero

Continued fraction of √n

√134,616 = [366; (1, 9, 18, 1, 2, 1, 1, 17, 1, 3, 2, 1, 1, 9, 15, 1, 1, 28, 1, 5, 10, 5, 1, 28, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand six hundred sixteen
Ordinal
134616th
Binary
100000110111011000
Octal
406730
Hexadecimal
0x20DD8
Base64
Ag3Y
One's complement
4,294,832,679 (32-bit)
Scientific notation
1.34616 × 10⁵
As a duration
134,616 s = 1 day, 13 hours, 23 minutes, 36 seconds
In other bases
ternary (3) 20211122210
quaternary (4) 200313120
quinary (5) 13301431
senary (6) 2515120
septenary (7) 1100316
nonary (9) 224583
undecimal (11) 92159
duodecimal (12) 65aa0
tridecimal (13) 49371
tetradecimal (14) 370b6
pentadecimal (15) 29d46

As an angle

134,616° = 373 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδχιϛʹ
Mayan (base 20)
𝋰·𝋰·𝋪·𝋰
Chinese
一十三萬四千六百一十六
Chinese (financial)
壹拾參萬肆仟陸佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٤٦١٦ Devanagari १३४६१६ Bengali ১৩৪৬১৬ Tamil ௧௩௪௬௧௬ Thai ๑๓๔๖๑๖ Tibetan ༡༣༤༦༡༦ Khmer ១៣៤៦១៦ Lao ໑໓໔໖໑໖ Burmese ၁၃၄၆၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134616, here are decompositions:

  • 7 + 134609 = 134616
  • 19 + 134597 = 134616
  • 23 + 134593 = 134616
  • 29 + 134587 = 134616
  • 103 + 134513 = 134616
  • 109 + 134507 = 134616
  • 113 + 134503 = 134616
  • 127 + 134489 = 134616

Showing the first eight; more decompositions exist.

Unicode codepoint
𠷘
CJK Unified Ideograph-20Dd8
U+20DD8
Other letter (Lo)

UTF-8 encoding: F0 A0 B7 98 (4 bytes).

Hex color
#020DD8
RGB(2, 13, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.216.

Address
0.2.13.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.216

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 134,616 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 134616 first appears in π at position 935,314 of the decimal expansion (the 935,314ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.