6,749,595

3³ × 5 × 17² × 173

Starting at 6,749,595, the Collatz iteration reaches 1 after 134 steps. The first transition is 20248786; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 17^2 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,820,320

Proper Divisor Sum 6,070,725

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6749593 ← → #6749621

Radix Representation

Decimal	6749595
Binary	11001101111110110011011 (23 bits)
Octal	0o31576633
Hexadecimal	0x66FD9B

Divisor Catalog (48)

1 3 5 9 15 17 27 45 51 85 135 153 173 255 289 459 519 765 865 867 1,445 1,557 2,295 2,595 2,601 2,941 4,335 4,671 7,785 7,803 8,823 13,005 14,705 23,355 26,469 39,015 44,115 49,997 79,407 132,345 149,991 249,985 397,035 449,973 749,955 1,349,919 2,249,865 6,749,595

Collatz Trajectory (134 steps to reach 1)

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

6,749,595 20,248,786 10,124,393 30,373,180 15,186,590 7,593,295 22,779,886 11,389,943 34,169,830 17,084,915 51,254,746 25,627,373 76,882,120 38,441,060 19,220,530 9,610,265 28,830,796 14,415,398 7,207,699 21,623,098 10,811,549 32,434,648 16,217,324 8,108,662 4,054,331 12,162,994 6,081,497 18,244,492 9,122,246 4,561,123 13,683,370 6,841,685 20,525,056 10,262,528 5,131,264 2,565,632 1,282,816 641,408 320,704 160,352 80,176 40,088 20,044 10,022 5,011 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190

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