9,338,290

2 × 5 × 13 × 29 × 2477

Starting at 9,338,290, the Collatz iteration reaches 1 after 132 steps. The first transition is 4669145; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 29 × 2477

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,733,680

Proper Divisor Sum 9,395,390

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9338281 ← → #9338297

Radix Representation

Decimal	9338290
Binary	100011100111110110110010 (24 bits)
Octal	0o43476662
Hexadecimal	0x8E7DB2

Divisor Catalog (32)

1 2 5 10 13 26 29 58 65 130 145 290 377 754 1,885 2,477 3,770 4,954 12,385 24,770 32,201 64,402 71,833 143,666 161,005 322,010 359,165 718,330 933,829 1,867,658 4,669,145 9,338,290

Collatz Trajectory (132 steps to reach 1)

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

9,338,290 4,669,145 14,007,436 7,003,718 3,501,859 10,505,578 5,252,789 15,758,368 7,879,184 3,939,592 1,969,796 984,898 492,449 1,477,348 738,674 369,337 1,108,012 554,006 277,003 831,010 415,505 1,246,516 623,258 311,629 934,888 467,444 233,722 116,861 350,584 175,292 87,646 43,823 131,470 65,735 197,206 98,603 295,810 147,905 443,716 221,858 110,929 332,788 166,394 83,197 249,592 124,796 62,398 31,199 93,598 46,799 140,398 70,199 210,598 105,299 315,898 157,949 473,848 236,924 118,462 59,231

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