Live analysis

123,004

123,004 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.).

123,004 (one hundred twenty-three thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 23 × 191. Its proper divisors sum to 135,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E07C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

122,992 122,993 122,994 122,995 122,996 122,997 122,998 122,999 123,000 123,001 123,002 123,003 123,004 123,005 123,006 123,007 123,008 123,009 123,010 123,011 123,012 123,013 123,014 123,015 123,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 17 bits
Reversed: 400,321
Square (n²): 15,129,984,016
Cube (n³): 1,861,048,553,904,064
Divisor count: 24
σ(n) — sum of divisors: 258,048
φ(n) — Euler's totient: 50,160
Sum of prime factors: 225

Primality

Prime factorization: 2 ² × 7 × 23 × 191

Nearest primes: 123,001 (−3) · 123,007 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 23 · 28 · 46 · 92 · 161 · 191 · 322 · 382 · 644 · 764 · 1337 · 2674 · 4393 · 5348 · 8786 · 17572 · 30751 · 61502 (half) · 123004

Aliquot sum (sum of proper divisors): 135,044

Factor pairs (a × b = 123,004)

1 × 123004

2 × 61502

4 × 30751

7 × 17572

14 × 8786

23 × 5348

28 × 4393

46 × 2674

92 × 1337

161 × 764

191 × 644

322 × 382

First multiples

123,004 · 246,008 (double) · 369,012 · 492,016 · 615,020 · 738,024 · 861,028 · 984,032 · 1,107,036 · 1,230,040

Sums & aliquot sequence

As consecutive integers: 17,569 + 17,570 + … + 17,575 15,372 + 15,373 + … + 15,379 5,337 + 5,338 + … + 5,359 2,169 + 2,170 + … + 2,224

Aliquot sequence: 123,004 → 135,044 → 166,600 → 310,490 → 258,670 → 206,954 → 147,286 → 73,646 → 41,698 → 20,852 → 18,544 → 19,896 → 29,904 → 59,376 → 94,136 → 112,624 → 105,616 — unresolved within range

Continued fraction of √n

√123,004 = [350; (1, 2, 1, 1, 3, 1, 1, 7, 1, 2, 4, 3, 1, 2, 1, 2, 1, 9, 100, 9, 1, 2, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-three thousand four
Ordinal: 123004th
Binary: 11110000001111100
Octal: 360174
Hexadecimal: 0x1E07C
Base64: AeB8
One's complement: 4,294,844,291 (32-bit)
Scientific notation: 1.23004 × 10⁵
As a duration: 123,004 s = 1 day, 10 hours, 10 minutes, 4 seconds

In other bases

ternary (3) 20020201201

quaternary (4) 132001330

quinary (5) 12414004

senary (6) 2345244

septenary (7) 1021420

nonary (9) 206651

undecimal (11) 84462

duodecimal (12) 5b224

tridecimal (13) 43cab

tetradecimal (14) 32b80

pentadecimal (15) 266a4

As an angle

123,004° = 341 × 360° + 244°

244° ≈ 4.259 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκγδʹ
Mayan (base 20): 𝋯·𝋧·𝋪·𝋤
Chinese: 一十二萬三千零四
Chinese (financial): 壹拾貳萬參仟零肆

In other modern scripts

Eastern Arabic ١٢٣٠٠٤ Devanagari १२३००४ Bengali ১২৩০০৪ Tamil ௧௨௩௦௦௪ Thai ๑๒๓๐๐๔ Tibetan ༡༢༣༠༠༤ Khmer ១២៣០០៤ Lao ໑໒໓໐໐໔ Burmese ၁၂၃၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 123004, here are decompositions:

3 + 123001 = 123004
41 + 122963 = 123004
47 + 122957 = 123004
83 + 122921 = 123004
113 + 122891 = 123004
137 + 122867 = 123004
227 + 122777 = 123004
251 + 122753 = 123004

Showing the first eight; more decompositions exist.

Hex color

#01E07C

RGB(1, 224, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.124.

Address: 0.1.224.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.224.124

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 123,004 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 US123,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 123004 first appears in π at position 92,667 of the decimal expansion (the 92,667ordinal-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 123004 on Pi Search ↗