6,966,608

2⁴ × 11 × 23 × 1721

Starting at 6,966,608, the Collatz iteration reaches 1 after 98 steps. The first transition is 3483304; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 23 × 1721

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 15,374,016

Proper Divisor Sum 8,407,408

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6966569 ← → #6966613

Radix Representation

Decimal	6966608
Binary	11010100100110101010000 (23 bits)
Octal	0o32446520
Hexadecimal	0x6A4D50

Divisor Catalog (40)

1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1,012 1,721 2,024 3,442 4,048 6,884 13,768 18,931 27,536 37,862 39,583 75,724 79,166 151,448 158,332 302,896 316,664 435,413 633,328 870,826 1,741,652 3,483,304 6,966,608

Collatz Trajectory (98 steps to reach 1)

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

6,966,608 3,483,304 1,741,652 870,826 435,413 1,306,240 653,120 326,560 163,280 81,640 40,820 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381

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