Live analysis

130,002

130,002 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.).

130,002 (one hundred thirty thousand two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 47 × 461. Its proper divisors sum to 136,110, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FBD2.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

129,990 129,991 129,992 129,993 129,994 129,995 129,996 129,997 129,998 129,999 130,000 130,001 130,002 130,003 130,004 130,005 130,006 130,007 130,008 130,009 130,010 130,011 130,012 130,013 130,014

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 200,031
Recamán's sequence: a(33,760) = 130,002
Square (n²): 16,900,520,004
Cube (n³): 2,197,101,401,560,008
Divisor count: 16
σ(n) — sum of divisors: 266,112
φ(n) — Euler's totient: 42,320
Sum of prime factors: 513

Primality

Prime factorization: 2 × 3 × 47 × 461

Nearest primes: 129,971 (−31) · 130,003 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 47 · 94 · 141 · 282 · 461 · 922 · 1383 · 2766 · 21667 · 43334 · 65001 (half) · 130002

Aliquot sum (sum of proper divisors): 136,110

Factor pairs (a × b = 130,002)

1 × 130002

2 × 65001

3 × 43334

6 × 21667

47 × 2766

94 × 1383

141 × 922

282 × 461

First multiples

130,002 · 260,004 (double) · 390,006 · 520,008 · 650,010 · 780,012 · 910,014 · 1,040,016 · 1,170,018 · 1,300,020

Sums & aliquot sequence

As consecutive integers: 43,333 + 43,334 + 43,335 32,499 + 32,500 + 32,501 + 32,502 10,828 + 10,829 + … + 10,839 2,743 + 2,744 + … + 2,789

Aliquot sequence: 130,002 → 136,110 → 216,690 → 322,446 → 333,762 → 452,478 → 522,258 → 651,054 → 719,826 → 719,838 → 1,133,442 → 1,322,388 → 2,060,992 → 2,028,916 → 1,730,672 → 1,799,608 → 1,574,672 — unresolved within range

Continued fraction of √n

√130,002 = [360; (1, 1, 3, 1, 4, 2, 17, 7, 2, 1, 1, 1, 7, 1, 1, 1, 21, 5, 31, 6, 2, 6, 1, 1, …)]

Representations

In words: one hundred thirty thousand two
Ordinal: 130002nd
Binary: 11111101111010010
Octal: 375722
Hexadecimal: 0x1FBD2
Base64: AfvS
One's complement: 4,294,837,293 (32-bit)
Scientific notation: 1.30002 × 10⁵
As a duration: 130,002 s = 1 day, 12 hours, 6 minutes, 42 seconds

In other bases

ternary (3) 20121022220

quaternary (4) 133233102

quinary (5) 13130002

senary (6) 2441510

septenary (7) 1051005

nonary (9) 217286

undecimal (11) 89744

duodecimal (12) 63296

tridecimal (13) 47232

tetradecimal (14) 3553c

pentadecimal (15) 287bc

As an angle

130,002° = 361 × 360° + 42°

42° ≈ 0.733 rad

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓏺𓏺
Greek (Milesian): ͵ρλβʹ
Mayan (base 20): 𝋰·𝋥·𝋠·𝋢
Chinese: 一十三萬零二
Chinese (financial): 壹拾參萬零貳

In other modern scripts

Eastern Arabic ١٣٠٠٠٢ Devanagari १३०००२ Bengali ১৩০০০২ Tamil ௧௩௦௦௦௨ Thai ๑๓๐๐๐๒ Tibetan ༡༣༠༠༠༢ Khmer ១៣០០០២ Lao ໑໓໐໐໐໒ Burmese ၁၃၀၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130002, here are decompositions:

31 + 129971 = 130002
43 + 129959 = 130002
83 + 129919 = 130002
101 + 129901 = 130002
109 + 129893 = 130002
149 + 129853 = 130002
199 + 129803 = 130002
233 + 129769 = 130002

Showing the first eight; more decompositions exist.

Unicode codepoint

🯒

Box Drawings Light Diagonal Upper Left To Middle Right

U+1FBD2

Other symbol (So)

UTF-8 encoding: F0 9F AF 92 (4 bytes).

Lookup U+1FBD2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01FBD2

RGB(1, 251, 210)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.210.

Address: 0.1.251.210
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.251.210

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 130,002 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 US130,002 on Google Patents ↗ Look up on USPTO ↗