9,346,628

2² × 73 × 32009

Starting at 9,346,628, the Collatz iteration reaches 1 after 132 steps. The first transition is 4673314; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 73 × 32009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,581,180

Proper Divisor Sum 7,234,552

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9346627 ← → #9346639

Radix Representation

Decimal	9346628
Binary	100011101001111001000100 (24 bits)
Octal	0o43517104
Hexadecimal	0x8E9E44

Divisor Catalog (12)

1 2 4 73 146 292 32,009 64,018 128,036 2,336,657 4,673,314 9,346,628

Collatz Trajectory (132 steps to reach 1)

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

9,346,628 4,673,314 2,336,657 7,009,972 3,504,986 1,752,493 5,257,480 2,628,740 1,314,370 657,185 1,971,556 985,778 492,889 1,478,668 739,334 369,667 1,109,002 554,501 1,663,504 831,752 415,876 207,938 103,969 311,908 155,954 77,977 233,932 116,966 58,483 175,450 87,725 263,176 131,588 65,794 32,897 98,692 49,346 24,673 74,020 37,010 18,505 55,516 27,758 13,879 41,638 20,819 62,458 31,229 93,688 46,844 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291

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