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122,484

122,484 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.).

122,484 (one hundred twenty-two thousand four hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 59 × 173. Its proper divisors sum to 169,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE74.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
512
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
484,221
Recamán's sequence
a(30,020) = 122,484
Square (n²)
15,002,330,256
Cube (n³)
1,837,545,419,075,904
Divisor count
24
σ(n) — sum of divisors
292,320
φ(n) — Euler's totient
39,904
Sum of prime factors
239

Primality

Prime factorization: 2 2 × 3 × 59 × 173

Nearest primes: 122,477 (−7) · 122,489 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 59 · 118 · 173 · 177 · 236 · 346 · 354 · 519 · 692 · 708 · 1038 · 2076 · 10207 · 20414 · 30621 · 40828 · 61242 (half) · 122484
Aliquot sum (sum of proper divisors): 169,836
Factor pairs (a × b = 122,484)
1 × 122484
2 × 61242
3 × 40828
4 × 30621
6 × 20414
12 × 10207
59 × 2076
118 × 1038
173 × 708
177 × 692
236 × 519
346 × 354
First multiples
122,484 · 244,968 (double) · 367,452 · 489,936 · 612,420 · 734,904 · 857,388 · 979,872 · 1,102,356 · 1,224,840

Sums & aliquot sequence

As consecutive integers: 40,827 + 40,828 + 40,829 15,307 + 15,308 + … + 15,314 5,092 + 5,093 + … + 5,115 2,047 + 2,048 + … + 2,105
Aliquot sequence: 122,484 169,836 226,476 369,756 564,996 765,564 1,038,084 1,616,316 2,472,636 3,453,844 2,622,156 3,496,236 4,836,564 8,368,236 12,784,896 25,478,784 52,211,556 — unresolved within range

Continued fraction of √n

√122,484 = [349; (1, 42, 1, 2, 1, 42, 1, 698)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand four hundred eighty-four
Ordinal
122484th
Binary
11101111001110100
Octal
357164
Hexadecimal
0x1DE74
Base64
Ad50
One's complement
4,294,844,811 (32-bit)
Scientific notation
1.22484 × 10⁵
As a duration
122,484 s = 1 day, 10 hours, 1 minute, 24 seconds
In other bases
ternary (3) 20020000110
quaternary (4) 131321310
quinary (5) 12404414
senary (6) 2343020
septenary (7) 1020045
nonary (9) 206013
undecimal (11) 8402a
duodecimal (12) 5aa70
tridecimal (13) 4399b
tetradecimal (14) 328cc
pentadecimal (15) 26459

As an angle

122,484° = 340 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβυπδʹ
Mayan (base 20)
𝋯·𝋦·𝋤·𝋤
Chinese
一十二萬二千四百八十四
Chinese (financial)
壹拾貳萬貳仟肆佰捌拾肆
In other modern scripts
Eastern Arabic ١٢٢٤٨٤ Devanagari १२२४८४ Bengali ১২২৪৮৪ Tamil ௧௨௨௪௮௪ Thai ๑๒๒๔๘๔ Tibetan ༡༢༢༤༨༤ Khmer ១២២៤៨៤ Lao ໑໒໒໔໘໔ Burmese ၁၂၂၄၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122484, here are decompositions:

  • 7 + 122477 = 122484
  • 13 + 122471 = 122484
  • 31 + 122453 = 122484
  • 41 + 122443 = 122484
  • 83 + 122401 = 122484
  • 97 + 122387 = 122484
  • 137 + 122347 = 122484
  • 157 + 122327 = 122484

Showing the first eight; more decompositions exist.

Hex color
#01DE74
RGB(1, 222, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.116.

Address
0.1.222.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.116

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 122,484 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 122484 first appears in π at position 651,511 of the decimal expansion (the 651,511ordinal-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°.