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134,624

134,624 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.).

134,624 (one hundred thirty-four thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 601. Its proper divisors sum to 168,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20DE0.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
576
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
426,431
Square (n²)
18,123,621,376
Cube (n³)
2,439,874,404,122,624
Divisor count
24
σ(n) — sum of divisors
303,408
φ(n) — Euler's totient
57,600
Sum of prime factors
618

Primality

Prime factorization: 2 5 × 7 × 601

Nearest primes: 134,609 (−15) · 134,639 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 112 · 224 · 601 · 1202 · 2404 · 4207 · 4808 · 8414 · 9616 · 16828 · 19232 · 33656 · 67312 (half) · 134624
Aliquot sum (sum of proper divisors): 168,784
Factor pairs (a × b = 134,624)
1 × 134624
2 × 67312
4 × 33656
7 × 19232
8 × 16828
14 × 9616
16 × 8414
28 × 4808
32 × 4207
56 × 2404
112 × 1202
224 × 601
First multiples
134,624 · 269,248 (double) · 403,872 · 538,496 · 673,120 · 807,744 · 942,368 · 1,076,992 · 1,211,616 · 1,346,240

Sums & aliquot sequence

As consecutive integers: 19,229 + 19,230 + … + 19,235 2,072 + 2,073 + … + 2,135 77 + 78 + … + 524
Aliquot sequence: 134,624 168,784 241,904 263,272 230,378 118,294 86,186 43,096 37,724 28,300 33,328 31,276 31,332 52,444 52,500 122,444 122,500 — unresolved within range

Continued fraction of √n

√134,624 = [366; (1, 10, 3, 2, 3, 2, 8, 1, 2, 1, 3, 1, 5, 2, 1, 1, 1, 5, 1, 6, 2, 22, 2, 6, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand six hundred twenty-four
Ordinal
134624th
Binary
100000110111100000
Octal
406740
Hexadecimal
0x20DE0
Base64
Ag3g
One's complement
4,294,832,671 (32-bit)
Scientific notation
1.34624 × 10⁵
As a duration
134,624 s = 1 day, 13 hours, 23 minutes, 44 seconds
In other bases
ternary (3) 20211200002
quaternary (4) 200313200
quinary (5) 13301444
senary (6) 2515132
septenary (7) 1100330
nonary (9) 224602
undecimal (11) 92166
duodecimal (12) 65aa8
tridecimal (13) 49379
tetradecimal (14) 370c0
pentadecimal (15) 29d4e

As an angle

134,624° = 373 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδχκδʹ
Mayan (base 20)
𝋰·𝋰·𝋫·𝋤
Chinese
一十三萬四千六百二十四
Chinese (financial)
壹拾參萬肆仟陸佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٤٦٢٤ Devanagari १३४६२४ Bengali ১৩৪৬২৪ Tamil ௧௩௪௬௨௪ Thai ๑๓๔๖๒๔ Tibetan ༡༣༤༦༢༤ Khmer ១៣៤៦២៤ Lao ໑໓໔໖໒໔ Burmese ၁၃၄၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134624, here are decompositions:

  • 31 + 134593 = 134624
  • 37 + 134587 = 134624
  • 43 + 134581 = 134624
  • 181 + 134443 = 134624
  • 223 + 134401 = 134624
  • 271 + 134353 = 134624
  • 283 + 134341 = 134624
  • 331 + 134293 = 134624

Showing the first eight; more decompositions exist.

Unicode codepoint
𠷠
CJK Unified Ideograph-20De0
U+20DE0
Other letter (Lo)

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

Hex color
#020DE0
RGB(2, 13, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.224.

Address
0.2.13.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.224

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 134,624 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 134624 first appears in π at position 649,034 of the decimal expansion (the 649,034ordinal-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.