Live analysis

137,142

137,142 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.).

137,142 (one hundred thirty-seven thousand one hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 19 × 401. Its proper divisors sum to 176,418, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217B6.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,130 137,131 137,132 137,133 137,134 137,135 137,136 137,137 137,138 137,139 137,140 137,141 137,142 137,143 137,144 137,145 137,146 137,147 137,148 137,149 137,150 137,151 137,152 137,153 137,154

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 241,731
Square (n²): 18,807,928,164
Cube (n³): 2,579,356,884,267,288
Divisor count: 24
σ(n) — sum of divisors: 313,560
φ(n) — Euler's totient: 43,200
Sum of prime factors: 428

Primality

Prime factorization: 2 × 3 ² × 19 × 401

Nearest primes: 137,131 (−11) · 137,143 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 19 · 38 · 57 · 114 · 171 · 342 · 401 · 802 · 1203 · 2406 · 3609 · 7218 · 7619 · 15238 · 22857 · 45714 · 68571 (half) · 137142

Aliquot sum (sum of proper divisors): 176,418

Factor pairs (a × b = 137,142)

1 × 137142

2 × 68571

3 × 45714

6 × 22857

9 × 15238

18 × 7619

19 × 7218

38 × 3609

57 × 2406

114 × 1203

171 × 802

342 × 401

First multiples

137,142 · 274,284 (double) · 411,426 · 548,568 · 685,710 · 822,852 · 959,994 · 1,097,136 · 1,234,278 · 1,371,420

Sums & aliquot sequence

As consecutive integers: 45,713 + 45,714 + 45,715 34,284 + 34,285 + 34,286 + 34,287 15,234 + 15,235 + … + 15,242 11,423 + 11,424 + … + 11,434

Aliquot sequence: 137,142 → 176,418 → 259,689 → 90,231 → 36,489 → 12,167 → 553 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√137,142 = [370; (3, 16, 1, 8, 4, 1, 24, 1, 2, 1, 3, 1, 1, 6, 1, 11, 1, 9, 4, 2, 8, 6, 370, 6, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand one hundred forty-two
Ordinal: 137142nd
Binary: 100001011110110110
Octal: 413666
Hexadecimal: 0x217B6
Base64: Ahe2
One's complement: 4,294,830,153 (32-bit)
Scientific notation: 1.37142 × 10⁵
As a duration: 137,142 s = 1 day, 14 hours, 5 minutes, 42 seconds

In other bases

ternary (3) 20222010100

quaternary (4) 201132312

quinary (5) 13342032

senary (6) 2534530

septenary (7) 1110555

nonary (9) 228110

undecimal (11) 94045

duodecimal (12) 67446

tridecimal (13) 4a565

tetradecimal (14) 37d9c

pentadecimal (15) 2a97c

As an angle

137,142° = 380 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζρμβʹ
Mayan (base 20): 𝋱·𝋢·𝋱·𝋢
Chinese: 一十三萬七千一百四十二
Chinese (financial): 壹拾參萬柒仟壹佰肆拾貳

In other modern scripts

Eastern Arabic ١٣٧١٤٢ Devanagari १३७१४२ Bengali ১৩৭১৪২ Tamil ௧௩௭௧௪௨ Thai ๑๓๗๑๔๒ Tibetan ༡༣༧༡༤༢ Khmer ១៣៧១៤២ Lao ໑໓໗໑໔໒ Burmese ၁၃၇၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137142, here are decompositions:

11 + 137131 = 137142
23 + 137119 = 137142
53 + 137089 = 137142
113 + 137029 = 137142
149 + 136993 = 137142
151 + 136991 = 137142
163 + 136979 = 137142
179 + 136963 = 137142

Showing the first eight; more decompositions exist.

Unicode codepoint

𡞶

CJK Unified Ideograph-217B6

U+217B6

Other letter (Lo)

UTF-8 encoding: F0 A1 9E B6 (4 bytes).

Lookup U+217B6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0217B6

RGB(2, 23, 182)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.182.

Address: 0.2.23.182
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.182

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 137,142 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 US137,142 on Google Patents ↗ Look up on USPTO ↗