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137,747

137,747 is a composite number, odd.

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.).

137,747 (one hundred thirty-seven thousand seven hundred forty-seven) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 23 × 53 × 113. Written other ways, in hexadecimal, 0x21A13.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
4,116
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
747,731
Recamán's sequence
a(493,333) = 137,747
Square (n²)
18,974,236,009
Cube (n³)
2,613,644,087,531,723
Divisor count
8
σ(n) — sum of divisors
147,744
φ(n) — Euler's totient
128,128
Sum of prime factors
189

Primality

Prime factorization: 23 × 53 × 113

Nearest primes: 137,743 (−4) · 137,771 (+24)

Divisors & multiples

All divisors (8)
1 · 23 · 53 · 113 · 1219 · 2599 · 5989 · 137747
Aliquot sum (sum of proper divisors): 9,997
Factor pairs (a × b = 137,747)
1 × 137747
23 × 5989
53 × 2599
113 × 1219
First multiples
137,747 · 275,494 (double) · 413,241 · 550,988 · 688,735 · 826,482 · 964,229 · 1,101,976 · 1,239,723 · 1,377,470

Sums & aliquot sequence

As consecutive integers: 68,873 + 68,874 5,978 + 5,979 + … + 6,000 2,972 + 2,973 + … + 3,017 2,573 + 2,574 + … + 2,625
Aliquot sequence: 137,747 9,997 783 417 143 25 6 6 — reaches a perfect number

Continued fraction of √n

√137,747 = [371; (7, 742)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand seven hundred forty-seven
Ordinal
137747th
Binary
100001101000010011
Octal
415023
Hexadecimal
0x21A13
Base64
AhoT
One's complement
4,294,829,548 (32-bit)
Scientific notation
1.37747 × 10⁵
As a duration
137,747 s = 1 day, 14 hours, 15 minutes, 47 seconds
In other bases
ternary (3) 20222221202
quaternary (4) 201220103
quinary (5) 13401442
senary (6) 2541415
septenary (7) 1112411
nonary (9) 228852
undecimal (11) 94545
duodecimal (12) 6786b
tridecimal (13) 4a90c
tetradecimal (14) 382b1
pentadecimal (15) 2ac32

As an angle

137,747° = 382 × 360° + 227°
227° ≈ 3.962 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψμζʹ
Mayan (base 20)
𝋱·𝋤·𝋧·𝋧
Chinese
一十三萬七千七百四十七
Chinese (financial)
壹拾參萬柒仟柒佰肆拾柒
In other modern scripts
Eastern Arabic ١٣٧٧٤٧ Devanagari १३७७४७ Bengali ১৩৭৭৪৭ Tamil ௧௩௭௭௪௭ Thai ๑๓๗๗๔๗ Tibetan ༡༣༧༧༤༧ Khmer ១៣៧៧៤៧ Lao ໑໓໗໗໔໗ Burmese ၁၃၇၇၄၇

Also seen as

Unicode codepoint
𡨓
CJK Unified Ideograph-21A13
U+21A13
Other letter (Lo)

UTF-8 encoding: F0 A1 A8 93 (4 bytes).

Hex color
#021A13
RGB(2, 26, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.19.

Address
0.2.26.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.19

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 137,747 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 137747 first appears in π at position 263,213 of the decimal expansion (the 263,213ordinal-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.