7,202,783

7 × 1028969

Starting at 7,202,783, the Collatz iteration reaches 1 after 147 steps. The first transition is 21608350; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1028969

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,231,760

Proper Divisor Sum 1,028,977

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7202761 ← → #7202803

Radix Representation

Decimal	7202783
Binary	11011011110011111011111 (23 bits)
Octal	0o33363737
Hexadecimal	0x6DE7DF

Divisor Catalog (4)

1 7 1,028,969 7,202,783

Collatz Trajectory (147 steps to reach 1)

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

7,202,783 21,608,350 10,804,175 32,412,526 16,206,263 48,618,790 24,309,395 72,928,186 36,464,093 109,392,280 54,696,140 27,348,070 13,674,035 41,022,106 20,511,053 61,533,160 30,766,580 15,383,290 7,691,645 23,074,936 11,537,468 5,768,734 2,884,367 8,653,102 4,326,551 12,979,654 6,489,827 19,469,482 9,734,741 29,204,224 14,602,112 7,301,056 3,650,528 1,825,264 912,632 456,316 228,158 114,079 342,238 171,119 513,358 256,679 770,038 385,019 1,155,058 577,529 1,732,588 866,294 433,147 1,299,442 649,721 1,949,164 974,582 487,291 1,461,874 730,937 2,192,812 1,096,406 548,203 1,644,610

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