7,000,185

3 × 5 × 43 × 10853

Starting at 7,000,185, the Collatz iteration reaches 1 after 129 steps. The first transition is 21000556; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 10853

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,461,824

Proper Divisor Sum 4,461,639

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7000181 ← → #7000219

Radix Representation

Decimal	7000185
Binary	11010101101000001111001 (23 bits)
Octal	0o32550171
Hexadecimal	0x6AD079

Divisor Catalog (16)

1 3 5 15 43 129 215 645 10,853 32,559 54,265 162,795 466,679 1,400,037 2,333,395 7,000,185

Collatz Trajectory (129 steps to reach 1)

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

7,000,185 21,000,556 10,500,278 5,250,139 15,750,418 7,875,209 23,625,628 11,812,814 5,906,407 17,719,222 8,859,611 26,578,834 13,289,417 39,868,252 19,934,126 9,967,063 29,901,190 14,950,595 44,851,786 22,425,893 67,277,680 33,638,840 16,819,420 8,409,710 4,204,855 12,614,566 6,307,283 18,921,850 9,460,925 28,382,776 14,191,388 7,095,694 3,547,847 10,643,542 5,321,771 15,965,314 7,982,657 23,947,972 11,973,986 5,986,993 17,960,980 8,980,490 4,490,245 13,470,736 6,735,368 3,367,684 1,683,842 841,921 2,525,764 1,262,882 631,441 1,894,324 947,162 473,581 1,420,744 710,372 355,186 177,593 532,780 266,390

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