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137,488

137,488 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.).

137,488 (one hundred thirty-seven thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 661. Its proper divisors sum to 149,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21910.

Abundant Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
5,376
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
884,731
Square (n²)
18,902,950,144
Cube (n³)
2,598,928,809,398,272
Divisor count
20
σ(n) — sum of divisors
287,308
φ(n) — Euler's totient
63,360
Sum of prime factors
682

Primality

Prime factorization: 2 4 × 13 × 661

Nearest primes: 137,483 (−5) · 137,491 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 661 · 1322 · 2644 · 5288 · 8593 · 10576 · 17186 · 34372 · 68744 (half) · 137488
Aliquot sum (sum of proper divisors): 149,820
Factor pairs (a × b = 137,488)
1 × 137488
2 × 68744
4 × 34372
8 × 17186
13 × 10576
16 × 8593
26 × 5288
52 × 2644
104 × 1322
208 × 661
First multiples
137,488 · 274,976 (double) · 412,464 · 549,952 · 687,440 · 824,928 · 962,416 · 1,099,904 · 1,237,392 · 1,374,880

Sums & aliquot sequence

As a sum of two squares: 128² + 348² = 252² + 272²
As consecutive integers: 10,570 + 10,571 + … + 10,582 4,281 + 4,282 + … + 4,312 123 + 124 + … + 538
Aliquot sequence: 137,488 149,820 309,828 413,132 315,148 236,368 299,312 325,648 305,326 225,458 115,582 57,794 40,702 21,794 12,874 7,034 3,520 — unresolved within range

Continued fraction of √n

√137,488 = [370; (1, 3, 1, 5, 1, 1, 2, 5, 2, 1, 4, 2, 6, 2, 2, 2, 3, 4, 1, 1, 4, 8, 1, 14, …)]

Representations

In words
one hundred thirty-seven thousand four hundred eighty-eight
Ordinal
137488th
Binary
100001100100010000
Octal
414420
Hexadecimal
0x21910
Base64
AhkQ
One's complement
4,294,829,807 (32-bit)
Scientific notation
1.37488 × 10⁵
As a duration
137,488 s = 1 day, 14 hours, 11 minutes, 28 seconds
In other bases
ternary (3) 20222121011
quaternary (4) 201210100
quinary (5) 13344423
senary (6) 2540304
septenary (7) 1111561
nonary (9) 228534
undecimal (11) 9432a
duodecimal (12) 67694
tridecimal (13) 4a770
tetradecimal (14) 38168
pentadecimal (15) 2ab0d

As an angle

137,488° = 381 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυπηʹ
Mayan (base 20)
𝋱·𝋣·𝋮·𝋨
Chinese
一十三萬七千四百八十八
Chinese (financial)
壹拾參萬柒仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٧٤٨٨ Devanagari १३७४८८ Bengali ১৩৭৪৮৮ Tamil ௧௩௭௪௮௮ Thai ๑๓๗๔๘๘ Tibetan ༡༣༧༤༨༨ Khmer ១៣៧៤៨៨ Lao ໑໓໗໔໘໘ Burmese ၁၃၇၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137488, here are decompositions:

  • 5 + 137483 = 137488
  • 11 + 137477 = 137488
  • 41 + 137447 = 137488
  • 89 + 137399 = 137488
  • 101 + 137387 = 137488
  • 149 + 137339 = 137488
  • 167 + 137321 = 137488
  • 269 + 137219 = 137488

Showing the first eight; more decompositions exist.

Unicode codepoint
𡤐
CJK Unified Ideograph-21910
U+21910
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 90 (4 bytes).

Hex color
#021910
RGB(2, 25, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.16.

Address
0.2.25.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.16

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 137,488 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 137488 first appears in π at position 126,823 of the decimal expansion (the 126,823ordinal-suffix:rd 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