λ
Sequence Observatory

5,348,427

3 × 7 × 257 × 991
Deficient Odd Composite

Starting at 5,348,427, the Collatz iteration reaches 1 after 95 steps. The first transition is 16045282; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 257 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,189,952
Proper Divisor Sum 2,841,525
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5348423 ← → #5348429

Radix Representation

Decimal 5348427
Binary 10100011001110001001011 (23 bits)
Octal 0o24316113
Hexadecimal 0x519C4B

Divisor Catalog (16)

1 3 7 21 257 771 991 1,799 2,973 5,397 6,937 20,811 254,687 764,061 1,782,809 5,348,427

Collatz Trajectory (95 steps to reach 1)

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

5,348,427 16,045,282 8,022,641 24,067,924 12,033,962 6,016,981 18,050,944 9,025,472 4,512,736 2,256,368 1,128,184 564,092 282,046 141,023 423,070 211,535 634,606 317,303 951,910 475,955 1,427,866 713,933 2,141,800 1,070,900 535,450 267,725 803,176 401,588 200,794 100,397 301,192 150,596 75,298 37,649 112,948 56,474 28,237 84,712 42,356 21,178 10,589 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944

More profiles

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