Live analysis

137,628

137,628 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.).

137,628 (one hundred thirty-seven thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,823. Its proper divisors sum to 210,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2199C.

Abundant Number Cube-Free Evil Number Gapful Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,616 137,617 137,618 137,619 137,620 137,621 137,622 137,623 137,624 137,625 137,626 137,627 137,628 137,629 137,630 137,631 137,632 137,633 137,634 137,635 137,636 137,637 137,638 137,639 137,640

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 2,016
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 826,731
Recamán's sequence: a(493,571) = 137,628
Square (n²): 18,941,466,384
Cube (n³): 2,606,876,135,497,152
Divisor count: 18
σ(n) — sum of divisors: 347,984
φ(n) — Euler's totient: 45,864
Sum of prime factors: 3,833

Primality

Prime factorization: 2 ² × 3 ² × 3823

Nearest primes: 137,623 (−5) · 137,633 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3823 · 7646 · 11469 · 15292 · 22938 · 34407 · 45876 · 68814 (half) · 137628

Aliquot sum (sum of proper divisors): 210,356

Factor pairs (a × b = 137,628)

1 × 137628

2 × 68814

3 × 45876

4 × 34407

6 × 22938

9 × 15292

12 × 11469

18 × 7646

36 × 3823

First multiples

137,628 · 275,256 (double) · 412,884 · 550,512 · 688,140 · 825,768 · 963,396 · 1,101,024 · 1,238,652 · 1,376,280

Sums & aliquot sequence

As consecutive integers: 45,875 + 45,876 + 45,877 17,200 + 17,201 + … + 17,207 15,288 + 15,289 + … + 15,296 5,723 + 5,724 + … + 5,746

Aliquot sequence: 137,628 → 210,356 → 166,636 → 124,984 → 123,416 → 108,004 → 105,244 → 81,740 → 95,332 → 71,506 → 35,756 → 35,812 → 35,868 → 63,084 → 105,364 → 112,364 → 112,420 — unresolved within range

Continued fraction of √n

√137,628 = [370; (1, 56, 13, 4, 3, 5, 3, 1, 2, 3, 2, 2, 1, 3, 4, 1, 1, 1, 1, 2, 1, 4, 3, 2, …)]

Representations

In words: one hundred thirty-seven thousand six hundred twenty-eight
Ordinal: 137628th
Binary: 100001100110011100
Octal: 414634
Hexadecimal: 0x2199C
Base64: Ahmc
One's complement: 4,294,829,667 (32-bit)
Scientific notation: 1.37628 × 10⁵
As a duration: 137,628 s = 1 day, 14 hours, 13 minutes, 48 seconds

In other bases

ternary (3) 20222210100

quaternary (4) 201212130

quinary (5) 13401003

senary (6) 2541100

septenary (7) 1112151

nonary (9) 228710

undecimal (11) 94447

duodecimal (12) 67790

tridecimal (13) 4a84a

tetradecimal (14) 38228

pentadecimal (15) 2aba3

As an angle

137,628° = 382 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζχκηʹ
Mayan (base 20): 𝋱·𝋤·𝋡·𝋨
Chinese: 一十三萬七千六百二十八
Chinese (financial): 壹拾參萬柒仟陸佰貳拾捌

In other modern scripts

Eastern Arabic ١٣٧٦٢٨ Devanagari १३७६२८ Bengali ১৩৭৬২৮ Tamil ௧௩௭௬௨௮ Thai ๑๓๗๖๒๘ Tibetan ༡༣༧༦༢༨ Khmer ១៣៧៦២៨ Lao ໑໓໗໖໒໘ Burmese ၁၃၇၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137628, here are decompositions:

5 + 137623 = 137628
31 + 137597 = 137628
41 + 137587 = 137628
61 + 137567 = 137628
109 + 137519 = 137628
137 + 137491 = 137628
151 + 137477 = 137628
181 + 137447 = 137628

Showing the first eight; more decompositions exist.

Unicode codepoint

𡦜

CJK Unified Ideograph-2199C

U+2199C

Other letter (Lo)

UTF-8 encoding: F0 A1 A6 9C (4 bytes).

Lookup U+2199C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02199C

RGB(2, 25, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.156.

Address: 0.2.25.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.25.156

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 137,628 and was likely granted around 1872.

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

Look up US137,628 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137628 first appears in π at position 158,873 of the decimal expansion (the 158,873ordinal-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.

Look up 137628 on Pi Search ↗