7,131,985

5 × 7 × 203771

Starting at 7,131,985, the Collatz iteration reaches 1 after 173 steps. The first transition is 21395956; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 203771

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,781,056

Proper Divisor Sum 2,649,071

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7131983 ← → #7131989

Radix Representation

Decimal	7131985
Binary	11011001101001101010001 (23 bits)
Octal	0o33151521
Hexadecimal	0x6CD351

Divisor Catalog (8)

1 5 7 35 203,771 1,018,855 1,426,397 7,131,985

Collatz Trajectory (173 steps to reach 1)

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

7,131,985 21,395,956 10,697,978 5,348,989 16,046,968 8,023,484 4,011,742 2,005,871 6,017,614 3,008,807 9,026,422 4,513,211 13,539,634 6,769,817 20,309,452 10,154,726 5,077,363 15,232,090 7,616,045 22,848,136 11,424,068 5,712,034 2,856,017 8,568,052 4,284,026 2,142,013 6,426,040 3,213,020 1,606,510 803,255 2,409,766 1,204,883 3,614,650 1,807,325 5,421,976 2,710,988 1,355,494 677,747 2,033,242 1,016,621 3,049,864 1,524,932 762,466 381,233 1,143,700 571,850 285,925 857,776 428,888 214,444 107,222 53,611 160,834 80,417 241,252 120,626 60,313 180,940 90,470 45,235

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