9,347,892

2² × 3 × 17 × 45823

Starting at 9,347,892, the Collatz iteration reaches 1 after 225 steps. The first transition is 4673946; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 45823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,095,296

Proper Divisor Sum 13,747,404

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9347879 ← → #9347893

Radix Representation

Decimal	9347892
Binary	100011101010001100110100 (24 bits)
Octal	0o43521464
Hexadecimal	0x8EA334

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 45,823 91,646 137,469 183,292 274,938 549,876 778,991 1,557,982 2,336,973 3,115,964 4,673,946 9,347,892

Collatz Trajectory (225 steps to reach 1)

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

9,347,892 4,673,946 2,336,973 7,010,920 3,505,460 1,752,730 876,365 2,629,096 1,314,548 657,274 328,637 985,912 492,956 246,478 123,239 369,718 184,859 554,578 277,289 831,868 415,934 207,967 623,902 311,951 935,854 467,927 1,403,782 701,891 2,105,674 1,052,837 3,158,512 1,579,256 789,628 394,814 197,407 592,222 296,111 888,334 444,167 1,332,502 666,251 1,998,754 999,377 2,998,132 1,499,066 749,533 2,248,600 1,124,300 562,150 281,075 843,226 421,613 1,264,840 632,420 316,210 158,105 474,316 237,158 118,579 355,738

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