2,972,172

2² × 3 × 7 × 41 × 863

Starting at 2,972,172, the Collatz iteration reaches 1 after 151 steps. The first transition is 1486086; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 41 × 863

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,128,512

Proper Divisor Sum 5,156,340

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2972171 ← → #2972183

Radix Representation

Decimal	2972172
Binary	1011010101101000001100 (22 bits)
Octal	0o13255014
Hexadecimal	0x2D5A0C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 863 1,148 1,722 1,726 2,589 3,444 3,452 5,178 6,041 10,356 12,082 18,123 24,164 35,383 36,246 70,766 72,492 106,149 141,532 212,298 247,681 424,596 495,362 743,043 990,724 1,486,086 2,972,172

Collatz Trajectory (151 steps to reach 1)

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

2,972,172 1,486,086 743,043 2,229,130 1,114,565 3,343,696 1,671,848 835,924 417,962 208,981 626,944 313,472 156,736 78,368 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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