2,968,107

3 × 73 × 13553

Starting at 2,968,107, the Collatz iteration reaches 1 after 195 steps. The first transition is 8904322; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 73 × 13553

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,011,984

Proper Divisor Sum 1,043,877

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2968099 ← → #2968111

Radix Representation

Decimal	2968107
Binary	1011010100101000101011 (22 bits)
Octal	0o13245053
Hexadecimal	0x2D4A2B

Divisor Catalog (8)

1 3 73 219 13,553 40,659 989,369 2,968,107

Collatz Trajectory (195 steps to reach 1)

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

2,968,107 8,904,322 4,452,161 13,356,484 6,678,242 3,339,121 10,017,364 5,008,682 2,504,341 7,513,024 3,756,512 1,878,256 939,128 469,564 234,782 117,391 352,174 176,087 528,262 264,131 792,394 396,197 1,188,592 594,296 297,148 148,574 74,287 222,862 111,431 334,294 167,147 501,442 250,721 752,164 376,082 188,041 564,124 282,062 141,031 423,094 211,547 634,642 317,321 951,964 475,982 237,991 713,974 356,987 1,070,962 535,481 1,606,444 803,222 401,611 1,204,834 602,417 1,807,252 903,626 451,813 1,355,440 677,720

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