7,169,015

5 × 7 × 257 × 797

Starting at 7,169,015, the Collatz iteration reaches 1 after 204 steps. The first transition is 21507046; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 257 × 797

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,882,432

Proper Divisor Sum 2,713,417

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7168999 ← → #7169017

Radix Representation

Decimal	7169015
Binary	11011010110001111110111 (23 bits)
Octal	0o33261767
Hexadecimal	0x6D63F7

Divisor Catalog (16)

1 5 7 35 257 797 1,285 1,799 3,985 5,579 8,995 27,895 204,829 1,024,145 1,433,803 7,169,015

Collatz Trajectory (204 steps to reach 1)

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

7,169,015 21,507,046 10,753,523 32,260,570 16,130,285 48,390,856 24,195,428 12,097,714 6,048,857 18,146,572 9,073,286 4,536,643 13,609,930 6,804,965 20,414,896 10,207,448 5,103,724 2,551,862 1,275,931 3,827,794 1,913,897 5,741,692 2,870,846 1,435,423 4,306,270 2,153,135 6,459,406 3,229,703 9,689,110 4,844,555 14,533,666 7,266,833 21,800,500 10,900,250 5,450,125 16,350,376 8,175,188 4,087,594 2,043,797 6,131,392 3,065,696 1,532,848 766,424 383,212 191,606 95,803 287,410 143,705 431,116 215,558 107,779 323,338 161,669 485,008 242,504 121,252 60,626 30,313 90,940 45,470

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