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137,620

137,620 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.).

137,620 (one hundred thirty-seven thousand six hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 983. Its proper divisors sum to 193,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21994.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
26,731
Recamán's sequence
a(493,587) = 137,620
Square (n²)
18,939,264,400
Cube (n³)
2,606,421,566,728,000
Divisor count
24
σ(n) — sum of divisors
330,624
φ(n) — Euler's totient
47,136
Sum of prime factors
999

Primality

Prime factorization: 2 2 × 5 × 7 × 983

Nearest primes: 137,597 (−23) · 137,623 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 · 140 · 983 · 1966 · 3932 · 4915 · 6881 · 9830 · 13762 · 19660 · 27524 · 34405 · 68810 (half) · 137620
Aliquot sum (sum of proper divisors): 193,004
Factor pairs (a × b = 137,620)
1 × 137620
2 × 68810
4 × 34405
5 × 27524
7 × 19660
10 × 13762
14 × 9830
20 × 6881
28 × 4915
35 × 3932
70 × 1966
140 × 983
First multiples
137,620 · 275,240 (double) · 412,860 · 550,480 · 688,100 · 825,720 · 963,340 · 1,100,960 · 1,238,580 · 1,376,200

Sums & aliquot sequence

As consecutive integers: 27,522 + 27,523 + 27,524 + 27,525 + 27,526 19,657 + 19,658 + … + 19,663 17,199 + 17,200 + … + 17,206 3,915 + 3,916 + … + 3,949
Aliquot sequence: 137,620 193,004 202,804 202,860 544,068 1,133,244 2,226,756 3,843,644 3,843,700 6,815,340 17,659,572 29,432,844 55,596,100 82,283,964 137,583,684 281,755,964 282,142,756 — unresolved within range

Continued fraction of √n

√137,620 = [370; (1, 34, 3, 82, 9, 3, 1, 4, 2, 1, 1, 8, 1, 1, 3, 4, 1, 45, 1, 1, 3, 1, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand six hundred twenty
Ordinal
137620th
Binary
100001100110010100
Octal
414624
Hexadecimal
0x21994
Base64
AhmU
One's complement
4,294,829,675 (32-bit)
Scientific notation
1.3762 × 10⁵
As a duration
137,620 s = 1 day, 14 hours, 13 minutes, 40 seconds
In other bases
ternary (3) 20222210001
quaternary (4) 201212110
quinary (5) 13400440
senary (6) 2541044
septenary (7) 1112140
nonary (9) 228701
undecimal (11) 9443a
duodecimal (12) 67784
tridecimal (13) 4a842
tetradecimal (14) 38220
pentadecimal (15) 2ab9a

As an angle

137,620° = 382 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλζχκʹ
Mayan (base 20)
𝋱·𝋤·𝋡·𝋠
Chinese
一十三萬七千六百二十
Chinese (financial)
壹拾參萬柒仟陸佰貳拾
In other modern scripts
Eastern Arabic ١٣٧٦٢٠ Devanagari १३७६२० Bengali ১৩৭৬২০ Tamil ௧௩௭௬௨௦ Thai ๑๓๗๖๒๐ Tibetan ༡༣༧༦༢༠ Khmer ១៣៧៦២០ Lao ໑໓໗໖໒໐ Burmese ၁၃၇၆၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137620, here are decompositions:

  • 23 + 137597 = 137620
  • 47 + 137573 = 137620
  • 53 + 137567 = 137620
  • 83 + 137537 = 137620
  • 101 + 137519 = 137620
  • 113 + 137507 = 137620
  • 137 + 137483 = 137620
  • 167 + 137453 = 137620

Showing the first eight; more decompositions exist.

Unicode codepoint
𡦔
CJK Unified Ideograph-21994
U+21994
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 94 (4 bytes).

Hex color
#021994
RGB(2, 25, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.148.

Address
0.2.25.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.148

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 137,620 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 137620 first appears in π at position 316,275 of the decimal expansion (the 316,275ordinal-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