2,972,106

2 × 3³ × 23 × 2393

Starting at 2,972,106, the Collatz iteration reaches 1 after 195 steps. The first transition is 1486053; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 23 × 2393

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,894,720

Proper Divisor Sum 3,922,614

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2972071 ← → #2972107

Radix Representation

Decimal	2972106
Binary	1011010101100111001010 (22 bits)
Octal	0o13254712
Hexadecimal	0x2D59CA

Divisor Catalog (32)

1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1,242 2,393 4,786 7,179 14,358 21,537 43,074 55,039 64,611 110,078 129,222 165,117 330,234 495,351 990,702 1,486,053 2,972,106

Collatz Trajectory (195 steps to reach 1)

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

2,972,106 1,486,053 4,458,160 2,229,080 1,114,540 557,270 278,635 835,906 417,953 1,253,860 626,930 313,465 940,396 470,198 235,099 705,298 352,649 1,057,948 528,974 264,487 793,462 396,731 1,190,194 595,097 1,785,292 892,646 446,323 1,338,970 669,485 2,008,456 1,004,228 502,114 251,057 753,172 376,586 188,293 564,880 282,440 141,220 70,610 35,305 105,916 52,958 26,479 79,438 39,719 119,158 59,579 178,738 89,369 268,108 134,054 67,027 201,082 100,541 301,624 150,812 75,406 37,703 113,110

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