7,312,093

19 × 384847

Starting at 7,312,093, the Collatz iteration reaches 1 after 147 steps. The first transition is 21936280; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 19 × 384847

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,696,960

Proper Divisor Sum 384,867

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7312087 ← → #7312099

Radix Representation

Decimal	7312093
Binary	11011111001001011011101 (23 bits)
Octal	0o33711335
Hexadecimal	0x6F92DD

Divisor Catalog (4)

1 19 384,847 7,312,093

Collatz Trajectory (147 steps to reach 1)

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

7,312,093 21,936,280 10,968,140 5,484,070 2,742,035 8,226,106 4,113,053 12,339,160 6,169,580 3,084,790 1,542,395 4,627,186 2,313,593 6,940,780 3,470,390 1,735,195 5,205,586 2,602,793 7,808,380 3,904,190 1,952,095 5,856,286 2,928,143 8,784,430 4,392,215 13,176,646 6,588,323 19,764,970 9,882,485 29,647,456 14,823,728 7,411,864 3,705,932 1,852,966 926,483 2,779,450 1,389,725 4,169,176 2,084,588 1,042,294 521,147 1,563,442 781,721 2,345,164 1,172,582 586,291 1,758,874 879,437 2,638,312 1,319,156 659,578 329,789 989,368 494,684 247,342 123,671 371,014 185,507 556,522 278,261

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