4,620,256

2⁵ × 144383

Starting at 4,620,256, the Collatz iteration reaches 1 after 105 steps. The first transition is 2310128; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 144383

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,096,192

Proper Divisor Sum 4,475,936

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4620229 ← → #4620269

Radix Representation

Decimal	4620256
Binary	10001100111111111100000 (23 bits)
Octal	0o21477740
Hexadecimal	0x467FE0

Divisor Catalog (12)

1 2 4 8 16 32 144,383 288,766 577,532 1,155,064 2,310,128 4,620,256

Collatz Trajectory (105 steps to reach 1)

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

4,620,256 2,310,128 1,155,064 577,532 288,766 144,383 433,150 216,575 649,726 324,863 974,590 487,295 1,461,886 730,943 2,192,830 1,096,415 3,289,246 1,644,623 4,933,870 2,466,935 7,400,806 3,700,403 11,101,210 5,550,605 16,651,816 8,325,908 4,162,954 2,081,477 6,244,432 3,122,216 1,561,108 780,554 390,277 1,170,832 585,416 292,708 146,354 73,177 219,532 109,766 54,883 164,650 82,325 246,976 123,488 61,744 30,872 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886

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