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137,825

137,825 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.).

137,825 (one hundred thirty-seven thousand eight hundred twenty-five) is an odd 6-digit number. It is a composite number with 12 divisors, and factors as 5² × 37 × 149. Written other ways, in hexadecimal, 0x21A61.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Square Pyramidal

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,680
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
528,731
Recamán's sequence
a(493,177) = 137,825
Square (n²)
18,995,730,625
Cube (n³)
2,618,086,573,390,625
Divisor count
12
σ(n) — sum of divisors
176,700
φ(n) — Euler's totient
106,560
Sum of prime factors
196

Primality

Prime factorization: 5 2 × 37 × 149

Nearest primes: 137,803 (−22) · 137,827 (+2)

Divisors & multiples

All divisors (12)
1 · 5 · 25 · 37 · 149 · 185 · 745 · 925 · 3725 · 5513 · 27565 · 137825
Aliquot sum (sum of proper divisors): 38,875
Factor pairs (a × b = 137,825)
1 × 137825
5 × 27565
25 × 5513
37 × 3725
149 × 925
185 × 745
First multiples
137,825 · 275,650 (double) · 413,475 · 551,300 · 689,125 · 826,950 · 964,775 · 1,102,600 · 1,240,425 · 1,378,250

Sums & aliquot sequence

As a sum of two squares: 49² + 368² = 56² + 367² = 73² + 364² = 160² + 335²
As consecutive integers: 68,912 + 68,913 27,563 + 27,564 + 27,565 + 27,566 + 27,567 13,778 + 13,779 + … + 13,787 5,501 + 5,502 + … + 5,525
Aliquot sequence: 137,825 38,875 9,797 199 1 0 — terminates at zero

Continued fraction of √n

√137,825 = [371; (4, 29, 2, 4, 2, 29, 4, 742)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred twenty-five
Ordinal
137825th
Binary
100001101001100001
Octal
415141
Hexadecimal
0x21A61
Base64
Ahph
One's complement
4,294,829,470 (32-bit)
Scientific notation
1.37825 × 10⁵
As a duration
137,825 s = 1 day, 14 hours, 17 minutes, 5 seconds
In other bases
ternary (3) 21000001122
quaternary (4) 201221201
quinary (5) 13402300
senary (6) 2542025
septenary (7) 1112552
nonary (9) 230048
undecimal (11) 94606
duodecimal (12) 67915
tridecimal (13) 4a96c
tetradecimal (14) 38329
pentadecimal (15) 2ac85

As an angle

137,825° = 382 × 360° + 305°
305° ≈ 5.323 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωκεʹ
Mayan (base 20)
𝋱·𝋤·𝋫·𝋥
Chinese
一十三萬七千八百二十五
Chinese (financial)
壹拾參萬柒仟捌佰貳拾伍
In other modern scripts
Eastern Arabic ١٣٧٨٢٥ Devanagari १३७८२५ Bengali ১৩৭৮২৫ Tamil ௧௩௭௮௨௫ Thai ๑๓๗๘๒๕ Tibetan ༡༣༧༨༢༥ Khmer ១៣៧៨២៥ Lao ໑໓໗໘໒໕ Burmese ၁၃၇၈၂၅

Also seen as

Unicode codepoint
𡩡
CJK Unified Ideograph-21A61
U+21A61
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 A1 (4 bytes).

Hex color
#021A61
RGB(2, 26, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.97.

Address
0.2.26.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.97

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 137,825 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 137825 first appears in π at position 33,014 of the decimal expansion (the 33,014ordinal-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.