Live analysis

137,364

137,364 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.).

137,364 (one hundred thirty-seven thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,447. Its proper divisors sum to 183,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21894.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

137,352 137,353 137,354 137,355 137,356 137,357 137,358 137,359 137,360 137,361 137,362 137,363 137,364 137,365 137,366 137,367 137,368 137,369 137,370 137,371 137,372 137,373 137,374 137,375 137,376

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 1,512
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 463,731
Recamán's sequence: a(37,532) = 137,364
Square (n²): 18,868,868,496
Cube (n³): 2,591,903,252,084,544
Divisor count: 12
σ(n) — sum of divisors: 320,544
φ(n) — Euler's totient: 45,784
Sum of prime factors: 11,454

Primality

Prime factorization: 2 ² × 3 × 11447

Nearest primes: 137,363 (−1) · 137,369 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 11447 · 22894 · 34341 · 45788 · 68682 (half) · 137364

Aliquot sum (sum of proper divisors): 183,180

Factor pairs (a × b = 137,364)

1 × 137364

2 × 68682

3 × 45788

4 × 34341

6 × 22894

12 × 11447

First multiples

137,364 · 274,728 (double) · 412,092 · 549,456 · 686,820 · 824,184 · 961,548 · 1,098,912 · 1,236,276 · 1,373,640

Sums & aliquot sequence

As consecutive integers: 45,787 + 45,788 + 45,789 17,167 + 17,168 + … + 17,174 5,712 + 5,713 + … + 5,735

Aliquot sequence: 137,364 → 183,180 → 349,044 → 558,156 → 756,388 → 574,172 → 487,756 → 380,244 → 507,020 → 572,548 → 429,418 → 283,382 → 184,246 → 108,434 → 54,220 → 59,684 → 47,500 — unresolved within range

Continued fraction of √n

√137,364 = [370; (1, 1, 1, 2, 10, 15, 2, 1, 7, 1, 5, 1, 1, 45, 1, 3, 1, 2, 1, 7, 1, 60, 1, 7, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand three hundred sixty-four
Ordinal: 137364th
Binary: 100001100010010100
Octal: 414224
Hexadecimal: 0x21894
Base64: AhiU
One's complement: 4,294,829,931 (32-bit)
Scientific notation: 1.37364 × 10⁵
As a duration: 137,364 s = 1 day, 14 hours, 9 minutes, 24 seconds

In other bases

ternary (3) 20222102120

quaternary (4) 201202110

quinary (5) 13343424

senary (6) 2535540

septenary (7) 1111323

nonary (9) 228376

undecimal (11) 94227

duodecimal (12) 675b0

tridecimal (13) 4a6a6

tetradecimal (14) 380ba

pentadecimal (15) 2aa79

As an angle

137,364° = 381 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζτξδʹ
Mayan (base 20): 𝋱·𝋣·𝋨·𝋤
Chinese: 一十三萬七千三百六十四
Chinese (financial): 壹拾參萬柒仟參佰陸拾肆

In other modern scripts

Eastern Arabic ١٣٧٣٦٤ Devanagari १३७३६४ Bengali ১৩৭৩৬৪ Tamil ௧௩௭௩௬௪ Thai ๑๓๗๓๖๔ Tibetan ༡༣༧༣༦༤ Khmer ១៣៧៣៦៤ Lao ໑໓໗໓໖໔ Burmese ၁၃၇၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137364, here are decompositions:

5 + 137359 = 137364
11 + 137353 = 137364
23 + 137341 = 137364
43 + 137321 = 137364
61 + 137303 = 137364
113 + 137251 = 137364
163 + 137201 = 137364
167 + 137197 = 137364

Showing the first eight; more decompositions exist.

Unicode codepoint

𡢔

CJK Unified Ideograph-21894

U+21894

Other letter (Lo)

UTF-8 encoding: F0 A1 A2 94 (4 bytes).

Lookup U+21894 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021894

RGB(2, 24, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.148.

Address: 0.2.24.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.148

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 137,364 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 US137,364 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137364 first appears in π at position 22,813 of the decimal expansion (the 22,813ordinal-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 137364 on Pi Search ↗