λ
Sequence Observatory

1,643,937

3 × 19 × 151 × 191
Deficient Odd Composite

Starting at 1,643,937, the Collatz iteration reaches 1 after 83 steps. The first transition is 4931812; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 151 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,334,720
Proper Divisor Sum 690,783
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1643893 ← → #1643959

Radix Representation

Decimal 1643937
Binary 110010001010110100001 (21 bits)
Octal 0o6212641
Hexadecimal 0x1915A1

Divisor Catalog (16)

1 3 19 57 151 191 453 573 2,869 3,629 8,607 10,887 28,841 86,523 547,979 1,643,937

Collatz Trajectory (83 steps to reach 1)

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

1,643,937 4,931,812 2,465,906 1,232,953 3,698,860 1,849,430 924,715 2,774,146 1,387,073 4,161,220 2,080,610 1,040,305 3,120,916 1,560,458 780,229 2,340,688 1,170,344 585,172 292,586 146,293 438,880 219,440 109,720 54,860 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49

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