7,591,673

17 × 446569

Starting at 7,591,673, the Collatz iteration reaches 1 after 248 steps. The first transition is 22775020; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 446569

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,038,260

Proper Divisor Sum 446,587

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7591657 ← → #7591687

Radix Representation

Decimal	7591673
Binary	11100111101011011111001 (23 bits)
Octal	0o34753371
Hexadecimal	0x73D6F9

Divisor Catalog (4)

1 17 446,569 7,591,673

Collatz Trajectory (248 steps to reach 1)

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

7,591,673 22,775,020 11,387,510 5,693,755 17,081,266 8,540,633 25,621,900 12,810,950 6,405,475 19,216,426 9,608,213 28,824,640 14,412,320 7,206,160 3,603,080 1,801,540 900,770 450,385 1,351,156 675,578 337,789 1,013,368 506,684 253,342 126,671 380,014 190,007 570,022 285,011 855,034 427,517 1,282,552 641,276 320,638 160,319 480,958 240,479 721,438 360,719 1,082,158 541,079 1,623,238 811,619 2,434,858 1,217,429 3,652,288 1,826,144 913,072 456,536 228,268 114,134 57,067 171,202 85,601 256,804 128,402 64,201 192,604 96,302 48,151

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