Live analysis

137,420

137,420 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.).

137,420 (one hundred thirty-seven thousand four hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,871. Its proper divisors sum to 151,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218CC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

137,408 137,409 137,410 137,411 137,412 137,413 137,414 137,415 137,416 137,417 137,418 137,419 137,420 137,421 137,422 137,423 137,424 137,425 137,426 137,427 137,428 137,429 137,430 137,431 137,432

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Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 24,731
Recamán's sequence: a(37,644) = 137,420
Square (n²): 18,884,256,400
Cube (n³): 2,595,074,514,488,000
Divisor count: 12
σ(n) — sum of divisors: 288,624
φ(n) — Euler's totient: 54,960
Sum of prime factors: 6,880

Primality

Prime factorization: 2 ² × 5 × 6871

Nearest primes: 137,413 (−7) · 137,437 (+17)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 6871 · 13742 · 27484 · 34355 · 68710 (half) · 137420

Aliquot sum (sum of proper divisors): 151,204

Factor pairs (a × b = 137,420)

1 × 137420

2 × 68710

4 × 34355

5 × 27484

10 × 13742

20 × 6871

First multiples

137,420 · 274,840 (double) · 412,260 · 549,680 · 687,100 · 824,520 · 961,940 · 1,099,360 · 1,236,780 · 1,374,200

Sums & aliquot sequence

As consecutive integers: 27,482 + 27,483 + 27,484 + 27,485 + 27,486 17,174 + 17,175 + … + 17,181 3,416 + 3,417 + … + 3,455

Aliquot sequence: 137,420 → 151,204 → 116,700 → 221,820 → 399,444 → 532,620 → 1,236,420 → 2,514,600 → 6,770,520 → 15,801,480 → 37,319,940 → 96,969,852 → 200,322,948 → 333,871,804 → 351,281,924 → 351,281,980 → 510,155,828 — unresolved within range

Continued fraction of √n

√137,420 = [370; (1, 2, 2, 1, 4, 4, 1, 3, 4, 1, 1, 11, 1, 1, 1, 1, 23, 3, 5, 8, 7, 148, 7, 8, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand four hundred twenty
Ordinal: 137420th
Binary: 100001100011001100
Octal: 414314
Hexadecimal: 0x218CC
Base64: AhjM
One's complement: 4,294,829,875 (32-bit)
Scientific notation: 1.3742 × 10⁵
As a duration: 137,420 s = 1 day, 14 hours, 10 minutes, 20 seconds

In other bases

ternary (3) 20222111122

quaternary (4) 201203030

quinary (5) 13344140

senary (6) 2540112

septenary (7) 1111433

nonary (9) 228448

undecimal (11) 94278

duodecimal (12) 67638

tridecimal (13) 4a71a

tetradecimal (14) 3811a

pentadecimal (15) 2aab5

As an angle

137,420° = 381 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ρλζυκʹ
Mayan (base 20): 𝋱·𝋣·𝋫·𝋠
Chinese: 一十三萬七千四百二十
Chinese (financial): 壹拾參萬柒仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٣٧٤٢٠ Devanagari १३७४२० Bengali ১৩৭৪২০ Tamil ௧௩௭௪௨௦ Thai ๑๓๗๔๒๐ Tibetan ༡༣༧༤༢༠ Khmer ១៣៧៤២០ Lao ໑໓໗໔໒໐ Burmese ၁၃၇၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137420, here are decompositions:

7 + 137413 = 137420
37 + 137383 = 137420
61 + 137359 = 137420
67 + 137353 = 137420
79 + 137341 = 137420
181 + 137239 = 137420
211 + 137209 = 137420
223 + 137197 = 137420

Showing the first eight; more decompositions exist.

Unicode codepoint

𡣌

CJK Unified Ideograph-218Cc

U+218CC

Other letter (Lo)

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

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

Hex color

#0218CC

RGB(2, 24, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.204.

Address: 0.2.24.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.204

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 137,420 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 US137,420 on Google Patents ↗ Look up on USPTO ↗