Live analysis

137,442

137,442 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.).

137,442 (one hundred thirty-seven thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 22,907. Its proper divisors sum to 137,454, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218E2.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,430 137,431 137,432 137,433 137,434 137,435 137,436 137,437 137,438 137,439 137,440 137,441 137,442 137,443 137,444 137,445 137,446 137,447 137,448 137,449 137,450 137,451 137,452 137,453 137,454

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 672
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 244,731
Square (n²): 18,890,303,364
Cube (n³): 2,596,321,074,954,888
Divisor count: 8
σ(n) — sum of divisors: 274,896
φ(n) — Euler's totient: 45,812
Sum of prime factors: 22,912

Primality

Prime factorization: 2 × 3 × 22907

Nearest primes: 137,437 (−5) · 137,443 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 22907 · 45814 · 68721 (half) · 137442

Aliquot sum (sum of proper divisors): 137,454

Factor pairs (a × b = 137,442)

1 × 137442

2 × 68721

3 × 45814

6 × 22907

First multiples

137,442 · 274,884 (double) · 412,326 · 549,768 · 687,210 · 824,652 · 962,094 · 1,099,536 · 1,236,978 · 1,374,420

Sums & aliquot sequence

As consecutive integers: 45,813 + 45,814 + 45,815 34,359 + 34,360 + 34,361 + 34,362 11,448 + 11,449 + … + 11,459

Aliquot sequence: 137,442 → 137,454 → 146,706 → 195,294 → 235,626 → 240,438 → 284,298 → 377,814 → 377,826 → 377,838 → 461,922 → 469,470 → 657,330 → 920,334 → 933,954 → 1,262,142 → 2,099,034 — unresolved within range

Continued fraction of √n

√137,442 = [370; (1, 2, 1, 2, 1, 2, 370, 2, 1, 2, 1, 2, 1, 740)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand four hundred forty-two
Ordinal: 137442nd
Binary: 100001100011100010
Octal: 414342
Hexadecimal: 0x218E2
Base64: Ahji
One's complement: 4,294,829,853 (32-bit)
Scientific notation: 1.37442 × 10⁵
As a duration: 137,442 s = 1 day, 14 hours, 10 minutes, 42 seconds

In other bases

ternary (3) 20222112110

quaternary (4) 201203202

quinary (5) 13344232

senary (6) 2540150

septenary (7) 1111464

nonary (9) 228473

undecimal (11) 94298

duodecimal (12) 67656

tridecimal (13) 4a736

tetradecimal (14) 38134

pentadecimal (15) 2aacc

As an angle

137,442° = 381 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζυμβʹ
Mayan (base 20): 𝋱·𝋣·𝋬·𝋢
Chinese: 一十三萬七千四百四十二
Chinese (financial): 壹拾參萬柒仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ١٣٧٤٤٢ Devanagari १३७४४२ Bengali ১৩৭৪৪২ Tamil ௧௩௭௪௪௨ Thai ๑๓๗๔๔๒ Tibetan ༡༣༧༤༤༢ Khmer ១៣៧៤៤២ Lao ໑໓໗໔໔໒ Burmese ၁၃၇၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137442, here are decompositions:

5 + 137437 = 137442
29 + 137413 = 137442
43 + 137399 = 137442
59 + 137383 = 137442
73 + 137369 = 137442
79 + 137363 = 137442
83 + 137359 = 137442
89 + 137353 = 137442

Showing the first eight; more decompositions exist.

Unicode codepoint

𡣢

CJK Unified Ideograph-218E2

U+218E2

Other letter (Lo)

UTF-8 encoding: F0 A1 A3 A2 (4 bytes).

Lookup U+218E2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0218E2

RGB(2, 24, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.226.

Address: 0.2.24.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.226

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 137,442 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 US137,442 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137442 first appears in π at position 218,291 of the decimal expansion (the 218,291ordinal-suffix:st 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 137442 on Pi Search ↗