λ
Sequence Observatory

6,355,902

2 × 3 × 7 × 41 × 3691
Abundant Even Composite

Starting at 6,355,902, the Collatz iteration reaches 1 after 271 steps. The first transition is 3177951; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41 × 3691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,886,144
Proper Divisor Sum 8,530,242
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6355879 ← → #6355903

Radix Representation

Decimal 6355902
Binary 11000001111101110111110 (23 bits)
Octal 0o30175676
Hexadecimal 0x60FBBE

Divisor Catalog (32)

1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1,722 3,691 7,382 11,073 22,146 25,837 51,674 77,511 151,331 155,022 302,662 453,993 907,986 1,059,317 2,118,634 3,177,951 6,355,902

Collatz Trajectory (271 steps to reach 1)

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

6,355,902 3,177,951 9,533,854 4,766,927 14,300,782 7,150,391 21,451,174 10,725,587 32,176,762 16,088,381 48,265,144 24,132,572 12,066,286 6,033,143 18,099,430 9,049,715 27,149,146 13,574,573 40,723,720 20,361,860 10,180,930 5,090,465 15,271,396 7,635,698 3,817,849 11,453,548 5,726,774 2,863,387 8,590,162 4,295,081 12,885,244 6,442,622 3,221,311 9,663,934 4,831,967 14,495,902 7,247,951 21,743,854 10,871,927 32,615,782 16,307,891 48,923,674 24,461,837 73,385,512 36,692,756 18,346,378 9,173,189 27,519,568 13,759,784 6,879,892 3,439,946 1,719,973 5,159,920 2,579,960 1,289,980 644,990 322,495 967,486 483,743 1,451,230

More profiles

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