7,423,546

2 × 13 × 285521

Starting at 7,423,546, the Collatz iteration reaches 1 after 142 steps. The first transition is 3711773; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 285521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,991,924

Proper Divisor Sum 4,568,378

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7423541 ← → #7423607

Radix Representation

Decimal	7423546
Binary	11100010100011000111010 (23 bits)
Octal	0o34243072
Hexadecimal	0x71463A

Divisor Catalog (8)

1 2 13 26 285,521 571,042 3,711,773 7,423,546

Collatz Trajectory (142 steps to reach 1)

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

7,423,546 3,711,773 11,135,320 5,567,660 2,783,830 1,391,915 4,175,746 2,087,873 6,263,620 3,131,810 1,565,905 4,697,716 2,348,858 1,174,429 3,523,288 1,761,644 880,822 440,411 1,321,234 660,617 1,981,852 990,926 495,463 1,486,390 743,195 2,229,586 1,114,793 3,344,380 1,672,190 836,095 2,508,286 1,254,143 3,762,430 1,881,215 5,643,646 2,821,823 8,465,470 4,232,735 12,698,206 6,349,103 19,047,310 9,523,655 28,570,966 14,285,483 42,856,450 21,428,225 64,284,676 32,142,338 16,071,169 48,213,508 24,106,754 12,053,377 36,160,132 18,080,066 9,040,033 27,120,100 13,560,050 6,780,025 20,340,076 10,170,038

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