7,428,873

3 × 2476291

Starting at 7,428,873, the Collatz iteration reaches 1 after 191 steps. The first transition is 22286620; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2476291

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,905,168

Proper Divisor Sum 2,476,295

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7428859 ← → #7428877

Radix Representation

Decimal	7428873
Binary	11100010101101100001001 (23 bits)
Octal	0o34255411
Hexadecimal	0x715B09

Divisor Catalog (4)

1 3 2,476,291 7,428,873

Collatz Trajectory (191 steps to reach 1)

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

7,428,873 22,286,620 11,143,310 5,571,655 16,714,966 8,357,483 25,072,450 12,536,225 37,608,676 18,804,338 9,402,169 28,206,508 14,103,254 7,051,627 21,154,882 10,577,441 31,732,324 15,866,162 7,933,081 23,799,244 11,899,622 5,949,811 17,849,434 8,924,717 26,774,152 13,387,076 6,693,538 3,346,769 10,040,308 5,020,154 2,510,077 7,530,232 3,765,116 1,882,558 941,279 2,823,838 1,411,919 4,235,758 2,117,879 6,353,638 3,176,819 9,530,458 4,765,229 14,295,688 7,147,844 3,573,922 1,786,961 5,360,884 2,680,442 1,340,221 4,020,664 2,010,332 1,005,166 502,583 1,507,750 753,875 2,261,626 1,130,813 3,392,440 1,696,220

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