7,468,602

2 × 3 × 29 × 42923

Starting at 7,468,602, the Collatz iteration reaches 1 after 111 steps. The first transition is 3734301; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 42923

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,452,640

Proper Divisor Sum 7,984,038

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7468597 ← → #7468607

Radix Representation

Decimal	7468602
Binary	11100011111011000111010 (23 bits)
Octal	0o34373072
Hexadecimal	0x71F63A

Divisor Catalog (16)

1 2 3 6 29 58 87 174 42,923 85,846 128,769 257,538 1,244,767 2,489,534 3,734,301 7,468,602

Collatz Trajectory (111 steps to reach 1)

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

7,468,602 3,734,301 11,202,904 5,601,452 2,800,726 1,400,363 4,201,090 2,100,545 6,301,636 3,150,818 1,575,409 4,726,228 2,363,114 1,181,557 3,544,672 1,772,336 886,168 443,084 221,542 110,771 332,314 166,157 498,472 249,236 124,618 62,309 186,928 93,464 46,732 23,366 11,683 35,050 17,525 52,576 26,288 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318

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