Live analysis

123,000

123,000 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.).

123,000 (one hundred twenty-three thousand) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5³ × 41. Its proper divisors sum to 270,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E078.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

122,988 122,989 122,990 122,991 122,992 122,993 122,994 122,995 122,996 122,997 122,998 122,999 123,000 123,001 123,002 123,003 123,004 123,005 123,006 123,007 123,008 123,009 123,010 123,011 123,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 321
Square (n²): 15,129,000,000
Cube (n³): 1,860,867,000,000,000
Divisor count: 64
σ(n) — sum of divisors: 393,120
φ(n) — Euler's totient: 32,000
Sum of prime factors: 65

Primality

Prime factorization: 2 ³ × 3 × 5 ³ × 41

Nearest primes: 122,971 (−29) · 123,001 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 41 · 50 · 60 · 75 · 82 · 100 · 120 · 123 · 125 · 150 · 164 · 200 · 205 · 246 · 250 · 300 · 328 · 375 · 410 · 492 · 500 · 600 · 615 · 750 · 820 · 984 · 1000 · 1025 · 1230 · 1500 · 1640 · 2050 · 2460 · 3000 · 3075 · 4100 · 4920 · 5125 · 6150 · 8200 · 10250 · 12300 · 15375 · 20500 · 24600 · 30750 · 41000 · 61500 (half) · 123000

Aliquot sum (sum of proper divisors): 270,120

Factor pairs (a × b = 123,000)

1 × 123000

2 × 61500

3 × 41000

4 × 30750

5 × 24600

6 × 20500

8 × 15375

10 × 12300

12 × 10250

15 × 8200

20 × 6150

24 × 5125

25 × 4920

30 × 4100

40 × 3075

41 × 3000

50 × 2460

60 × 2050

75 × 1640

82 × 1500

100 × 1230

120 × 1025

123 × 1000

125 × 984

150 × 820

164 × 750

200 × 615

205 × 600

246 × 500

250 × 492

300 × 410

328 × 375

First multiples

123,000 · 246,000 (double) · 369,000 · 492,000 · 615,000 · 738,000 · 861,000 · 984,000 · 1,107,000 · 1,230,000

Sums & aliquot sequence

As consecutive integers: 40,999 + 41,000 + 41,001 24,598 + 24,599 + 24,600 + 24,601 + 24,602 8,193 + 8,194 + … + 8,207 7,680 + 7,681 + … + 7,695

Aliquot sequence: 123,000 → 270,120 → 540,600 → 1,267,320 → 2,620,680 → 5,241,720 → 13,000,560 → 29,437,200 → 90,195,768 → 192,326,472 → 368,628,468 → 558,925,068 → 872,074,068 → 1,163,342,700 → 2,763,624,708 → 5,500,456,572 → 8,321,203,924 — unresolved within range

Continued fraction of √n

√123,000 = [350; (1, 2, 2, 27, 1, 1, 1, 2, 4, 27, 1, 4, 1, 4, 1, 27, 4, 2, 1, 1, 1, 27, 2, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-three thousand
Ordinal: 123000th
Binary: 11110000001111000
Octal: 360170
Hexadecimal: 0x1E078
Base64: AeB4
One's complement: 4,294,844,295 (32-bit)
Scientific notation: 1.23 × 10⁵
As a duration: 123,000 s = 1 day, 10 hours, 10 minutes

In other bases

ternary (3) 20020201120

quaternary (4) 132001320

quinary (5) 12414000

senary (6) 2345240

septenary (7) 1021413

nonary (9) 206646

undecimal (11) 84459

duodecimal (12) 5b220

tridecimal (13) 43ca7

tetradecimal (14) 32b7a

pentadecimal (15) 266a0

As an angle

123,000° = 341 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼
Greek (Milesian): ͵ρκγ
Mayan (base 20): 𝋯·𝋧·𝋪·𝋠
Chinese: 一十二萬三千
Chinese (financial): 壹拾貳萬參仟

In other modern scripts

Eastern Arabic ١٢٣٠٠٠ Devanagari १२३००० Bengali ১২৩০০০ Tamil ௧௨௩௦௦௦ Thai ๑๒๓๐๐๐ Tibetan ༡༢༣༠༠༠ Khmer ១២៣០០០ Lao ໑໒໓໐໐໐ Burmese ၁၂၃၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 123000, here are decompositions:

29 + 122971 = 123000
37 + 122963 = 123000
43 + 122957 = 123000
47 + 122953 = 123000
61 + 122939 = 123000
71 + 122929 = 123000
79 + 122921 = 123000
109 + 122891 = 123000

Showing the first eight; more decompositions exist.

Hex color

#01E078

RGB(1, 224, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.120.

Address: 0.1.224.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.224.120

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 123,000 and was likely granted around 1871.

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

Look up US123,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 123000 first appears in π at position 119,626 of the decimal expansion (the 119,626ordinal-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.

Look up 123000 on Pi Search ↗