9,298,044

2² × 3³ × 7³ × 251

Starting at 9,298,044, the Collatz iteration reaches 1 after 194 steps. The first transition is 4649022; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7^3 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 28,224,000

Proper Divisor Sum 18,925,956

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9298043 ← → #9298073

Radix Representation

Decimal	9298044
Binary	100011011110000001111100 (24 bits)
Octal	0o43360174
Hexadecimal	0x8DE07C

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 251 252 294 343 378 441 502 588 686 753 756 882 1,004 1,029 1,323 1,372 1,506 1,757 1,764 2,058 2,259 2,646 3,012 3,087 3,514 4,116 4,518 5,271 5,292 6,174 6,777 7,028 9,036 9,261 10,542

Collatz Trajectory (194 steps to reach 1)

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

9,298,044 4,649,022 2,324,511 6,973,534 3,486,767 10,460,302 5,230,151 15,690,454 7,845,227 23,535,682 11,767,841 35,303,524 17,651,762 8,825,881 26,477,644 13,238,822 6,619,411 19,858,234 9,929,117 29,787,352 14,893,676 7,446,838 3,723,419 11,170,258 5,585,129 16,755,388 8,377,694 4,188,847 12,566,542 6,283,271 18,849,814 9,424,907 28,274,722 14,137,361 42,412,084 21,206,042 10,603,021 31,809,064 15,904,532 7,952,266 3,976,133 11,928,400 5,964,200 2,982,100 1,491,050 745,525 2,236,576 1,118,288 559,144 279,572 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829

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