6,733,090

2 × 5 × 7³ × 13 × 151

Starting at 6,733,090, the Collatz iteration reaches 1 after 134 steps. The first transition is 3366545; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^3 × 13 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 15,321,600

Proper Divisor Sum 8,588,510

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6733073 ← → #6733093

Radix Representation

Decimal	6733090
Binary	11001101011110100100010 (23 bits)
Octal	0o31536442
Hexadecimal	0x66BD22

Divisor Catalog (60 of 64)

1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 151 182 245 302 343 455 490 637 686 755 910 1,057 1,274 1,510 1,715 1,963 2,114 3,185 3,430 3,926 4,459 5,285 6,370 7,399 8,918 9,815 10,570 13,741 14,798 19,630 22,295 27,482 36,995 44,590 51,793 68,705 73,990 96,187 103,586 137,410 192,374 258,965 480,935 517,930 673,309

Collatz Trajectory (134 steps to reach 1)

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

6,733,090 3,366,545 10,099,636 5,049,818 2,524,909 7,574,728 3,787,364 1,893,682 946,841 2,840,524 1,420,262 710,131 2,130,394 1,065,197 3,195,592 1,597,796 798,898 399,449 1,198,348 599,174 299,587 898,762 449,381 1,348,144 674,072 337,036 168,518 84,259 252,778 126,389 379,168 189,584 94,792 47,396 23,698 11,849 35,548 17,774 8,887 26,662 13,331 39,994 19,997 59,992 29,996 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187

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