Live analysis

130,004

130,004 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.).

130,004 (one hundred thirty thousand four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,643. Its proper divisors sum to 130,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FBD4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

129,992 129,993 129,994 129,995 129,996 129,997 129,998 129,999 130,000 130,001 130,002 130,003 130,004 130,005 130,006 130,007 130,008 130,009 130,010 130,011 130,012 130,013 130,014 130,015 130,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 400,031
Recamán's sequence: a(33,764) = 130,004
Square (n²): 16,901,040,016
Cube (n³): 2,197,202,806,240,064
Divisor count: 12
σ(n) — sum of divisors: 260,064
φ(n) — Euler's totient: 55,704
Sum of prime factors: 4,654

Primality

Prime factorization: 2 ² × 7 × 4643

Nearest primes: 130,003 (−1) · 130,021 (+17)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 4643 · 9286 · 18572 · 32501 · 65002 (half) · 130004

Aliquot sum (sum of proper divisors): 130,060

Factor pairs (a × b = 130,004)

1 × 130004

2 × 65002

4 × 32501

7 × 18572

14 × 9286

28 × 4643

First multiples

130,004 · 260,008 (double) · 390,012 · 520,016 · 650,020 · 780,024 · 910,028 · 1,040,032 · 1,170,036 · 1,300,040

Sums & aliquot sequence

As consecutive integers: 18,569 + 18,570 + … + 18,575 16,247 + 16,248 + … + 16,254 2,294 + 2,295 + … + 2,349

Aliquot sequence: 130,004 → 130,060 → 182,420 → 255,724 → 255,780 → 677,880 → 1,849,320 → 4,721,400 → 11,769,360 → 28,406,640 → 59,654,688 → 97,585,248 → 164,834,448 → 291,922,032 → 467,032,864 → 453,015,356 → 339,761,524 — unresolved within range

Continued fraction of √n

√130,004 = [360; (1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 8, 3, 1, 1, 4, 1, 14, 1, 1, 10, …)]

Representations

In words: one hundred thirty thousand four
Ordinal: 130004th
Binary: 11111101111010100
Octal: 375724
Hexadecimal: 0x1FBD4
Base64: AfvU
One's complement: 4,294,837,291 (32-bit)
Scientific notation: 1.30004 × 10⁵
As a duration: 130,004 s = 1 day, 12 hours, 6 minutes, 44 seconds

In other bases

ternary (3) 20121022222

quaternary (4) 133233110

quinary (5) 13130004

senary (6) 2441512

septenary (7) 1051010

nonary (9) 217288

undecimal (11) 89746

duodecimal (12) 63298

tridecimal (13) 47234

tetradecimal (14) 35540

pentadecimal (15) 287be

As an angle

130,004° = 361 × 360° + 44°

44° ≈ 0.768 rad

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλδʹ
Mayan (base 20): 𝋰·𝋥·𝋠·𝋤
Chinese: 一十三萬零四
Chinese (financial): 壹拾參萬零肆

In other modern scripts

Eastern Arabic ١٣٠٠٠٤ Devanagari १३०००४ Bengali ১৩০০০৪ Tamil ௧௩௦௦௦௪ Thai ๑๓๐๐๐๔ Tibetan ༡༣༠༠༠༤ Khmer ១៣០០០៤ Lao ໑໓໐໐໐໔ Burmese ၁၃၀၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130004, here are decompositions:

37 + 129967 = 130004
67 + 129937 = 130004
103 + 129901 = 130004
151 + 129853 = 130004
163 + 129841 = 130004
211 + 129793 = 130004
241 + 129763 = 130004
271 + 129733 = 130004

Showing the first eight; more decompositions exist.

Unicode codepoint

🯔

Box Drawings Light Diagonal Upper Left To Lower Centre

U+1FBD4

Other symbol (So)

UTF-8 encoding: F0 9F AF 94 (4 bytes).

Lookup U+1FBD4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01FBD4

RGB(1, 251, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.212.

Address: 0.1.251.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.251.212

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 130,004 and was likely granted around 1872.

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

Look up US130,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 130004 first appears in π at position 724,634 of the decimal expansion (the 724,634ordinal-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 130004 on Pi Search ↗