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137,624

137,624 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.).

137,624 (one hundred thirty-seven thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 17,203. Written other ways, in hexadecimal, 0x21998.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,008
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
426,731
Recamán's sequence
a(493,579) = 137,624
Square (n²)
18,940,365,376
Cube (n³)
2,606,648,844,506,624
Divisor count
8
σ(n) — sum of divisors
258,060
φ(n) — Euler's totient
68,808
Sum of prime factors
17,209

Primality

Prime factorization: 2 3 × 17203

Nearest primes: 137,623 (−1) · 137,633 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 17203 · 34406 · 68812 (half) · 137624
Aliquot sum (sum of proper divisors): 120,436
Factor pairs (a × b = 137,624)
1 × 137624
2 × 68812
4 × 34406
8 × 17203
First multiples
137,624 · 275,248 (double) · 412,872 · 550,496 · 688,120 · 825,744 · 963,368 · 1,100,992 · 1,238,616 · 1,376,240

Sums & aliquot sequence

As consecutive integers: 8,594 + 8,595 + … + 8,609
Aliquot sequence: 137,624 120,436 90,334 52,658 27,370 34,838 17,422 9,650 8,392 7,358 4,570 3,674 2,374 1,190 1,402 704 820 — unresolved within range

Continued fraction of √n

√137,624 = [370; (1, 42, 1, 1, 1, 4, 1, 1, 1, 2, 1, 9, 2, 3, 1, 1, 6, 1, 1, 1, 3, 1, 1, 2, …)]

Representations

In words
one hundred thirty-seven thousand six hundred twenty-four
Ordinal
137624th
Binary
100001100110011000
Octal
414630
Hexadecimal
0x21998
Base64
AhmY
One's complement
4,294,829,671 (32-bit)
Scientific notation
1.37624 × 10⁵
As a duration
137,624 s = 1 day, 14 hours, 13 minutes, 44 seconds
In other bases
ternary (3) 20222210012
quaternary (4) 201212120
quinary (5) 13400444
senary (6) 2541052
septenary (7) 1112144
nonary (9) 228705
undecimal (11) 94443
duodecimal (12) 67788
tridecimal (13) 4a846
tetradecimal (14) 38224
pentadecimal (15) 2ab9e

As an angle

137,624° = 382 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχκδʹ
Mayan (base 20)
𝋱·𝋤·𝋡·𝋤
Chinese
一十三萬七千六百二十四
Chinese (financial)
壹拾參萬柒仟陸佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٧٦٢٤ Devanagari १३७६२४ Bengali ১৩৭৬২৪ Tamil ௧௩௭௬௨௪ Thai ๑๓๗๖๒๔ Tibetan ༡༣༧༦༢༤ Khmer ១៣៧៦២៤ Lao ໑໓໗໖໒໔ Burmese ၁၃၇၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137624, here are decompositions:

  • 31 + 137593 = 137624
  • 37 + 137587 = 137624
  • 181 + 137443 = 137624
  • 211 + 137413 = 137624
  • 241 + 137383 = 137624
  • 271 + 137353 = 137624
  • 283 + 137341 = 137624
  • 373 + 137251 = 137624

Showing the first eight; more decompositions exist.

Unicode codepoint
𡦘
CJK Unified Ideograph-21998
U+21998
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 98 (4 bytes).

Hex color
#021998
RGB(2, 25, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.152.

Address
0.2.25.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.152

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 137,624 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 137624 first appears in π at position 396,545 of the decimal expansion (the 396,545ordinal-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.