9,199,737

3⁵ × 17² × 131

Starting at 9,199,737, the Collatz iteration reaches 1 after 194 steps. The first transition is 27599212; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 17^2 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,750,736

Proper Divisor Sum 5,550,999

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9199727 ← → #9199739

Radix Representation

Decimal	9199737
Binary	100011000110000001111001 (24 bits)
Octal	0o43060171
Hexadecimal	0x8C6079

Divisor Catalog (36)

1 3 9 17 27 51 81 131 153 243 289 393 459 867 1,179 1,377 2,227 2,601 3,537 4,131 6,681 7,803 10,611 20,043 23,409 31,833 37,859 60,129 70,227 113,577 180,387 340,731 541,161 1,022,193 3,066,579 9,199,737

Collatz Trajectory (194 steps to reach 1)

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

9,199,737 27,599,212 13,799,606 6,899,803 20,699,410 10,349,705 31,049,116 15,524,558 7,762,279 23,286,838 11,643,419 34,930,258 17,465,129 52,395,388 26,197,694 13,098,847 39,296,542 19,648,271 58,944,814 29,472,407 88,417,222 44,208,611 132,625,834 66,312,917 198,938,752 99,469,376 49,734,688 24,867,344 12,433,672 6,216,836 3,108,418 1,554,209 4,662,628 2,331,314 1,165,657 3,496,972 1,748,486 874,243 2,622,730 1,311,365 3,934,096 1,967,048 983,524 491,762 245,881 737,644 368,822 184,411 553,234 276,617 829,852 414,926 207,463 622,390 311,195 933,586 466,793 1,400,380 700,190 350,095

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