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137,402

137,402 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.).

137,402 (one hundred thirty-seven thousand four hundred two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 23 × 29 × 103. Written other ways, in hexadecimal, 0x218BA.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
204,731
Recamán's sequence
a(37,608) = 137,402
Square (n²)
18,879,309,604
Cube (n³)
2,594,054,898,208,808
Divisor count
16
σ(n) — sum of divisors
224,640
φ(n) — Euler's totient
62,832
Sum of prime factors
157

Primality

Prime factorization: 2 × 23 × 29 × 103

Nearest primes: 137,399 (−3) · 137,413 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 23 · 29 · 46 · 58 · 103 · 206 · 667 · 1334 · 2369 · 2987 · 4738 · 5974 · 68701 (half) · 137402
Aliquot sum (sum of proper divisors): 87,238
Factor pairs (a × b = 137,402)
1 × 137402
2 × 68701
23 × 5974
29 × 4738
46 × 2987
58 × 2369
103 × 1334
206 × 667
First multiples
137,402 · 274,804 (double) · 412,206 · 549,608 · 687,010 · 824,412 · 961,814 · 1,099,216 · 1,236,618 · 1,374,020

Sums & aliquot sequence

As consecutive integers: 34,349 + 34,350 + 34,351 + 34,352 5,963 + 5,964 + … + 5,985 4,724 + 4,725 + … + 4,752 1,448 + 1,449 + … + 1,539
Aliquot sequence: 137,402 87,238 46,250 42,784 53,984 67,984 82,800 217,032 325,608 488,472 732,768 1,308,432 2,071,808 2,064,226 1,043,978 642,490 539,462 — unresolved within range

Continued fraction of √n

√137,402 = [370; (1, 2, 9, 1, 2, 5, 1, 3, 1, 1, 2, 12, 2, 1, 1, 3, 1, 5, 2, 1, 9, 2, 1, 740)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand four hundred two
Ordinal
137402nd
Binary
100001100010111010
Octal
414272
Hexadecimal
0x218BA
Base64
Ahi6
One's complement
4,294,829,893 (32-bit)
Scientific notation
1.37402 × 10⁵
As a duration
137,402 s = 1 day, 14 hours, 10 minutes, 2 seconds
In other bases
ternary (3) 20222110222
quaternary (4) 201202322
quinary (5) 13344102
senary (6) 2540042
septenary (7) 1111406
nonary (9) 228428
undecimal (11) 94261
duodecimal (12) 67622
tridecimal (13) 4a705
tetradecimal (14) 38106
pentadecimal (15) 2aaa2
Palindromic in base 15

As an angle

137,402° = 381 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρλζυβʹ
Mayan (base 20)
𝋱·𝋣·𝋪·𝋢
Chinese
一十三萬七千四百零二
Chinese (financial)
壹拾參萬柒仟肆佰零貳
In other modern scripts
Eastern Arabic ١٣٧٤٠٢ Devanagari १३७४०२ Bengali ১৩৭৪০২ Tamil ௧௩௭௪௦௨ Thai ๑๓๗๔๐๒ Tibetan ༡༣༧༤༠༢ Khmer ១៣៧៤០២ Lao ໑໓໗໔໐໒ Burmese ၁၃၇၄၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137402, here are decompositions:

  • 3 + 137399 = 137402
  • 19 + 137383 = 137402
  • 43 + 137359 = 137402
  • 61 + 137341 = 137402
  • 151 + 137251 = 137402
  • 163 + 137239 = 137402
  • 193 + 137209 = 137402
  • 211 + 137191 = 137402

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢺
CJK Unified Ideograph-218Ba
U+218BA
Other letter (Lo)

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

Hex color
#0218BA
RGB(2, 24, 186)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.186.

Address
0.2.24.186
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.186

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 137,402 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 137402 first appears in π at position 667,938 of the decimal expansion (the 667,938ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.