7,354,308

2² × 3 × 13 × 47143

Starting at 7,354,308, the Collatz iteration reaches 1 after 217 steps. The first transition is 3677154; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 47143

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,480,448

Proper Divisor Sum 11,126,140

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7354307 ← → #7354309

Radix Representation

Decimal	7354308
Binary	11100000011011111000100 (23 bits)
Octal	0o34033704
Hexadecimal	0x7037C4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 47,143 94,286 141,429 188,572 282,858 565,716 612,859 1,225,718 1,838,577 2,451,436 3,677,154 7,354,308

Collatz Trajectory (217 steps to reach 1)

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

7,354,308 3,677,154 1,838,577 5,515,732 2,757,866 1,378,933 4,136,800 2,068,400 1,034,200 517,100 258,550 129,275 387,826 193,913 581,740 290,870 145,435 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135 1,104,406 552,203 1,656,610 828,305 2,484,916 1,242,458 621,229 1,863,688 931,844 465,922 232,961 698,884 349,442 174,721 524,164 262,082 131,041 393,124 196,562 98,281 294,844 147,422 73,711 221,134 110,567 331,702 165,851 497,554 248,777 746,332 373,166 186,583 559,750 279,875

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