λ
Sequence Observatory

5,345,590

2 × 5 × 71 × 7529
Deficient Even Composite

Starting at 5,345,590, the Collatz iteration reaches 1 after 95 steps. The first transition is 2672795; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 71 × 7529
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,758,880
Proper Divisor Sum 4,413,290
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5345581 ← → #5345611

Radix Representation

Decimal 5345590
Binary 10100011001000100110110 (23 bits)
Octal 0o24310466
Hexadecimal 0x519136

Divisor Catalog (16)

1 2 5 10 71 142 355 710 7,529 15,058 37,645 75,290 534,559 1,069,118 2,672,795 5,345,590

Collatz Trajectory (95 steps to reach 1)

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

5,345,590 2,672,795 8,018,386 4,009,193 12,027,580 6,013,790 3,006,895 9,020,686 4,510,343 13,531,030 6,765,515 20,296,546 10,148,273 30,444,820 15,222,410 7,611,205 22,833,616 11,416,808 5,708,404 2,854,202 1,427,101 4,281,304 2,140,652 1,070,326 535,163 1,605,490 802,745 2,408,236 1,204,118 602,059 1,806,178 903,089 2,709,268 1,354,634 677,317 2,031,952 1,015,976 507,988 253,994 126,997 380,992 190,496 95,248 47,624 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157

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