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122,604

122,604 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.).

122,604 (one hundred twenty-two thousand six hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 17 × 601. Its proper divisors sum to 180,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DEEC.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
406,221
Square (n²)
15,031,740,816
Cube (n³)
1,842,951,551,004,864
Divisor count
24
σ(n) — sum of divisors
303,408
φ(n) — Euler's totient
38,400
Sum of prime factors
625

Primality

Prime factorization: 2 2 × 3 × 17 × 601

Nearest primes: 122,599 (−5) · 122,609 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 · 204 · 601 · 1202 · 1803 · 2404 · 3606 · 7212 · 10217 · 20434 · 30651 · 40868 · 61302 (half) · 122604
Aliquot sum (sum of proper divisors): 180,804
Factor pairs (a × b = 122,604)
1 × 122604
2 × 61302
3 × 40868
4 × 30651
6 × 20434
12 × 10217
17 × 7212
34 × 3606
51 × 2404
68 × 1803
102 × 1202
204 × 601
First multiples
122,604 · 245,208 (double) · 367,812 · 490,416 · 613,020 · 735,624 · 858,228 · 980,832 · 1,103,436 · 1,226,040

Sums & aliquot sequence

As consecutive integers: 40,867 + 40,868 + 40,869 15,322 + 15,323 + … + 15,329 7,204 + 7,205 + … + 7,220 5,097 + 5,098 + … + 5,120
Aliquot sequence: 122,604 180,804 305,276 233,332 212,204 159,160 216,680 270,940 374,180 428,692 389,804 362,836 272,134 136,070 131,338 67,994 34,000 — unresolved within range

Continued fraction of √n

√122,604 = [350; (6, 1, 2, 1, 2, 1, 3, 5, 1, 1, 3, 5, 1, 1, 46, 6, 1, 53, 87, 1, 1, 12, 1, 27, …)]

Representations

In words
one hundred twenty-two thousand six hundred four
Ordinal
122604th
Binary
11101111011101100
Octal
357354
Hexadecimal
0x1DEEC
Base64
Ad7s
One's complement
4,294,844,691 (32-bit)
Scientific notation
1.22604 × 10⁵
As a duration
122,604 s = 1 day, 10 hours, 3 minutes, 24 seconds
In other bases
ternary (3) 20020011220
quaternary (4) 131323230
quinary (5) 12410404
senary (6) 2343340
septenary (7) 1020306
nonary (9) 206156
undecimal (11) 84129
duodecimal (12) 5ab50
tridecimal (13) 43a61
tetradecimal (14) 32976
pentadecimal (15) 264d9

As an angle

122,604° = 340 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβχδʹ
Mayan (base 20)
𝋯·𝋦·𝋪·𝋤
Chinese
一十二萬二千六百零四
Chinese (financial)
壹拾貳萬貳仟陸佰零肆
In other modern scripts
Eastern Arabic ١٢٢٦٠٤ Devanagari १२२६०४ Bengali ১২২৬০৪ Tamil ௧௨௨௬௦௪ Thai ๑๒๒๖๐๔ Tibetan ༡༢༢༦༠༤ Khmer ១២២៦០៤ Lao ໑໒໒໖໐໔ Burmese ၁၂၂၆၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122604, here are decompositions:

  • 5 + 122599 = 122604
  • 7 + 122597 = 122604
  • 43 + 122561 = 122604
  • 47 + 122557 = 122604
  • 71 + 122533 = 122604
  • 101 + 122503 = 122604
  • 103 + 122501 = 122604
  • 107 + 122497 = 122604

Showing the first eight; more decompositions exist.

Hex color
#01DEEC
RGB(1, 222, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.236.

Address
0.1.222.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.236

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 122,604 and was likely granted around 1871.

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

Related reading

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