2,698,005

3 × 5 × 41² × 107

Starting at 2,698,005, the Collatz iteration reaches 1 after 187 steps. The first transition is 8094016; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 41^2 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,466,016

Proper Divisor Sum 1,768,011

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2698001 ← → #2698009

Radix Representation

Decimal	2698005
Binary	1010010010101100010101 (22 bits)
Octal	0o12225425
Hexadecimal	0x292B15

Divisor Catalog (24)

1 3 5 15 41 107 123 205 321 535 615 1,605 1,681 4,387 5,043 8,405 13,161 21,935 25,215 65,805 179,867 539,601 899,335 2,698,005

Collatz Trajectory (187 steps to reach 1)

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

2,698,005 8,094,016 4,047,008 2,023,504 1,011,752 505,876 252,938 126,469 379,408 189,704 94,852 47,426 23,713 71,140 35,570 17,785 53,356 26,678 13,339 40,018 20,009 60,028 30,014 15,007 45,022 22,511 67,534 33,767 101,302 50,651 151,954 75,977 227,932 113,966 56,983 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855

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