λ
Zalai Atlas

2,137,291

13 × 17 × 19 × 509
Deficient Odd Composite

2,137,291 has the prime decomposition 13 × 17 × 19 × 509. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 19 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,570,400
Proper Divisor Sum 433,109
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2137279 ← → #2137301

Radix Representation

Decimal 2137291
Binary 1000001001110011001011 (22 bits)
Octal 0o10116313
Hexadecimal 0x209CCB

Divisor Catalog (16)

1 13 17 19 221 247 323 509 4,199 6,617 8,653 9,671 112,489 125,723 164,407 2,137,291

Collatz Trajectory (241 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,137,291 6,411,874 3,205,937 9,617,812 4,808,906 2,404,453 7,213,360 3,606,680 1,803,340 901,670 450,835 1,352,506 676,253 2,028,760 1,014,380 507,190 253,595 760,786 380,393 1,141,180 570,590 285,295 855,886 427,943 1,283,830 641,915 1,925,746 962,873 2,888,620 1,444,310 722,155 2,166,466 1,083,233 3,249,700 1,624,850 812,425 2,437,276 1,218,638 609,319 1,827,958 913,979 2,741,938 1,370,969 4,112,908 2,056,454 1,028,227 3,084,682 1,542,341 4,627,024 2,313,512 1,156,756 578,378 289,189 867,568 433,784 216,892 108,446 54,223 162,670 81,335

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