4,731,728

2⁴ × 41 × 7213

Starting at 4,731,728, the Collatz iteration reaches 1 after 162 steps. The first transition is 2365864; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 41 × 7213

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,392,628

Proper Divisor Sum 4,660,900

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4731719 ← → #4731733

Radix Representation

Decimal	4731728
Binary	10010000011001101010000 (23 bits)
Octal	0o22031520
Hexadecimal	0x483350

Divisor Catalog (20)

1 2 4 8 16 41 82 164 328 656 7,213 14,426 28,852 57,704 115,408 295,733 591,466 1,182,932 2,365,864 4,731,728

Collatz Trajectory (162 steps to reach 1)

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

4,731,728 2,365,864 1,182,932 591,466 295,733 887,200 443,600 221,800 110,900 55,450 27,725 83,176 41,588 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142

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