4,768,007

17 × 131 × 2141

Starting at 4,768,007, the Collatz iteration reaches 1 after 144 steps. The first transition is 14304022; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 131 × 2141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,089,392

Proper Divisor Sum 321,385

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4768003 ← → #4768019

Radix Representation

Decimal	4768007
Binary	10010001100000100000111 (23 bits)
Octal	0o22140407
Hexadecimal	0x48C107

Divisor Catalog (8)

1 17 131 2,141 2,227 36,397 280,471 4,768,007

Collatz Trajectory (144 steps to reach 1)

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

4,768,007 14,304,022 7,152,011 21,456,034 10,728,017 32,184,052 16,092,026 8,046,013 24,138,040 12,069,020 6,034,510 3,017,255 9,051,766 4,525,883 13,577,650 6,788,825 20,366,476 10,183,238 5,091,619 15,274,858 7,637,429 22,912,288 11,456,144 5,728,072 2,864,036 1,432,018 716,009 2,148,028 1,074,014 537,007 1,611,022 805,511 2,416,534 1,208,267 3,624,802 1,812,401 5,437,204 2,718,602 1,359,301 4,077,904 2,038,952 1,019,476 509,738 254,869 764,608 382,304 191,152 95,576 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244

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