970,783

11² × 71 × 113

Starting at 970,783, the Collatz iteration reaches 1 after 152 steps. The first transition is 2912350; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 71 × 113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,091,664

Proper Divisor Sum 120,881

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #970777 ← → #970787

Radix Representation

Decimal	970783
Binary	11101101000000011111 (20 bits)
Octal	0o3550037
Hexadecimal	0xED01F

Divisor Catalog (12)

1 11 71 113 121 781 1,243 8,023 8,591 13,673 88,253 970,783

Collatz Trajectory (152 steps to reach 1)

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

970,783 2,912,350 1,456,175 4,368,526 2,184,263 6,552,790 3,276,395 9,829,186 4,914,593 14,743,780 7,371,890 3,685,945 11,057,836 5,528,918 2,764,459 8,293,378 4,146,689 12,440,068 6,220,034 3,110,017 9,330,052 4,665,026 2,332,513 6,997,540 3,498,770 1,749,385 5,248,156 2,624,078 1,312,039 3,936,118 1,968,059 5,904,178 2,952,089 8,856,268 4,428,134 2,214,067 6,642,202 3,321,101 9,963,304 4,981,652 2,490,826 1,245,413 3,736,240 1,868,120 934,060 467,030 233,515 700,546 350,273 1,050,820 525,410 262,705 788,116 394,058 197,029 591,088 295,544 147,772 73,886 36,943

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