λ
Sequence Observatory

6,942,754

2 × 7 × 13 × 37 × 1031
Deficient Even Composite

Starting at 6,942,754, the Collatz iteration reaches 1 after 98 steps. The first transition is 3471377; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 37 × 1031
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,176,576
Proper Divisor Sum 6,233,822
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6942751 ← → #6942769

Radix Representation

Decimal 6942754
Binary 11010011111000000100010 (23 bits)
Octal 0o32370042
Hexadecimal 0x69F022

Divisor Catalog (32)

1 2 7 13 14 26 37 74 91 182 259 481 518 962 1,031 2,062 3,367 6,734 7,217 13,403 14,434 26,806 38,147 76,294 93,821 187,642 267,029 495,911 534,058 991,822 3,471,377 6,942,754

Collatz Trajectory (98 steps to reach 1)

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

6,942,754 3,471,377 10,414,132 5,207,066 2,603,533 7,810,600 3,905,300 1,952,650 976,325 2,928,976 1,464,488 732,244 366,122 183,061 549,184 274,592 137,296 68,648 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228

More profiles

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