6,506,055

3³ × 5 × 48193

Starting at 6,506,055, the Collatz iteration reaches 1 after 116 steps. The first transition is 19518166; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 48193

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,566,560

Proper Divisor Sum 5,060,505

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6506051 ← → #6506057

Radix Representation

Decimal	6506055
Binary	11000110100011001000111 (23 bits)
Octal	0o30643107
Hexadecimal	0x634647

Divisor Catalog (16)

1 3 5 9 15 27 45 135 48,193 144,579 240,965 433,737 722,895 1,301,211 2,168,685 6,506,055

Collatz Trajectory (116 steps to reach 1)

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

6,506,055 19,518,166 9,759,083 29,277,250 14,638,625 43,915,876 21,957,938 10,978,969 32,936,908 16,468,454 8,234,227 24,702,682 12,351,341 37,054,024 18,527,012 9,263,506 4,631,753 13,895,260 6,947,630 3,473,815 10,421,446 5,210,723 15,632,170 7,816,085 23,448,256 11,724,128 5,862,064 2,931,032 1,465,516 732,758 366,379 1,099,138 549,569 1,648,708 824,354 412,177 1,236,532 618,266 309,133 927,400 463,700 231,850 115,925 347,776 173,888 86,944 43,472 21,736 10,868 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147

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