λ
Sequence Observatory

6,101,408

25 × 190669
Deficient Even Composite

Starting at 6,101,408, the Collatz iteration reaches 1 after 108 steps. The first transition is 3050704; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 190669
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,012,210
Proper Divisor Sum 5,910,802
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #6101393 ← → #6101429

Radix Representation

Decimal 6101408
Binary 10111010001100110100000 (23 bits)
Octal 0o27214640
Hexadecimal 0x5D19A0

Divisor Catalog (12)

1 2 4 8 16 32 190,669 381,338 762,676 1,525,352 3,050,704 6,101,408

Collatz Trajectory (108 steps to reach 1)

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

6,101,408 3,050,704 1,525,352 762,676 381,338 190,669 572,008 286,004 143,002 71,501 214,504 107,252 53,626 26,813 80,440 40,220 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938 16,969 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078

More profiles

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