7,608,848

2⁴ × 13 × 157 × 233

Starting at 7,608,848, the Collatz iteration reaches 1 after 129 steps. The first transition is 3804424; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 157 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 16,045,848

Proper Divisor Sum 8,437,000

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7608847 ← → #7608851

Radix Representation

Decimal	7608848
Binary	11101000001101000010000 (23 bits)
Octal	0o35015020
Hexadecimal	0x741A10

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 157 208 233 314 466 628 932 1,256 1,864 2,041 2,512 3,029 3,728 4,082 6,058 8,164 12,116 16,328 24,232 32,656 36,581 48,464 73,162 146,324 292,648 475,553 585,296 951,106 1,902,212 3,804,424 7,608,848

Collatz Trajectory (129 steps to reach 1)

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

7,608,848 3,804,424 1,902,212 951,106 475,553 1,426,660 713,330 356,665 1,069,996 534,998 267,499 802,498 401,249 1,203,748 601,874 300,937 902,812 451,406 225,703 677,110 338,555 1,015,666 507,833 1,523,500 761,750 380,875 1,142,626 571,313 1,713,940 856,970 428,485 1,285,456 642,728 321,364 160,682 80,341 241,024 120,512 60,256 30,128 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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