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114,464

114,464 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.).

114,464 (one hundred fourteen thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 7² × 73. Its proper divisors sum to 151,270, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BF20.

Abundant Number Gapful Number Happy Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
384
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
464,411
Recamán's sequence
a(57,715) = 114,464
Square (n²)
13,102,007,296
Cube (n³)
1,499,708,163,129,344
Divisor count
36
σ(n) — sum of divisors
265,734
φ(n) — Euler's totient
48,384
Sum of prime factors
97

Primality

Prime factorization: 2 5 × 7 2 × 73

Nearest primes: 114,451 (−13) · 114,467 (+3)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 49 · 56 · 73 · 98 · 112 · 146 · 196 · 224 · 292 · 392 · 511 · 584 · 784 · 1022 · 1168 · 1568 · 2044 · 2336 · 3577 · 4088 · 7154 · 8176 · 14308 · 16352 · 28616 · 57232 (half) · 114464
Aliquot sum (sum of proper divisors): 151,270
Factor pairs (a × b = 114,464)
1 × 114464
2 × 57232
4 × 28616
7 × 16352
8 × 14308
14 × 8176
16 × 7154
28 × 4088
32 × 3577
49 × 2336
56 × 2044
73 × 1568
98 × 1168
112 × 1022
146 × 784
196 × 584
224 × 511
292 × 392
First multiples
114,464 · 228,928 (double) · 343,392 · 457,856 · 572,320 · 686,784 · 801,248 · 915,712 · 1,030,176 · 1,144,640

Sums & aliquot sequence

As a sum of two squares: 140² + 308²
As consecutive integers: 16,349 + 16,350 + … + 16,355 2,312 + 2,313 + … + 2,360 1,757 + 1,758 + … + 1,820 1,532 + 1,533 + … + 1,604
Aliquot sequence: 114,464 151,270 160,058 81,862 54,326 30,778 19,622 9,814 7,034 3,520 5,624 5,776 6,035 1,741 1 0 — terminates at zero

Continued fraction of √n

√114,464 = [338; (3, 13, 2, 9, 1, 12, 1, 9, 2, 13, 3, 676)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred fourteen thousand four hundred sixty-four
Ordinal
114464th
Binary
11011111100100000
Octal
337440
Hexadecimal
0x1BF20
Base64
Ab8g
One's complement
4,294,852,831 (32-bit)
Scientific notation
1.14464 × 10⁵
As a duration
114,464 s = 1 day, 7 hours, 47 minutes, 44 seconds
In other bases
ternary (3) 12211000102
quaternary (4) 123330200
quinary (5) 12130324
senary (6) 2241532
septenary (7) 654500
nonary (9) 184012
undecimal (11) 78aa9
duodecimal (12) 562a8
tridecimal (13) 4013c
tetradecimal (14) 2da00
pentadecimal (15) 23dae

As an angle

114,464° = 317 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριδυξδʹ
Mayan (base 20)
𝋮·𝋦·𝋣·𝋤
Chinese
一十一萬四千四百六十四
Chinese (financial)
壹拾壹萬肆仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١١٤٤٦٤ Devanagari ११४४६४ Bengali ১১৪৪৬৪ Tamil ௧௧௪௪௬௪ Thai ๑๑๔๔๖๔ Tibetan ༡༡༤༤༦༤ Khmer ១១៤៤៦៤ Lao ໑໑໔໔໖໔ Burmese ၁၁၄၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114464, here are decompositions:

  • 13 + 114451 = 114464
  • 271 + 114193 = 114464
  • 307 + 114157 = 114464
  • 397 + 114067 = 114464
  • 421 + 114043 = 114464
  • 433 + 114031 = 114464
  • 463 + 114001 = 114464
  • 733 + 113731 = 114464

Showing the first eight; more decompositions exist.

Hex color
#01BF20
RGB(1, 191, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.191.32.

Address
0.1.191.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.191.32

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 114,464 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 114464 first appears in π at position 149,929 of the decimal expansion (the 149,929ordinal-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.