9,407,352

2³ × 3 × 593 × 661

Starting at 9,407,352, the Collatz iteration reaches 1 after 150 steps. The first transition is 4703676; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 593 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,593,680

Proper Divisor Sum 14,186,328

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9407347 ← → #9407357

Radix Representation

Decimal	9407352
Binary	100011111000101101111000 (24 bits)
Octal	0o43705570
Hexadecimal	0x8F8B78

Divisor Catalog (32)

1 2 3 4 6 8 12 24 593 661 1,186 1,322 1,779 1,983 2,372 2,644 3,558 3,966 4,744 5,288 7,116 7,932 14,232 15,864 391,973 783,946 1,175,919 1,567,892 2,351,838 3,135,784 4,703,676 9,407,352

Collatz Trajectory (150 steps to reach 1)

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

9,407,352 4,703,676 2,351,838 1,175,919 3,527,758 1,763,879 5,291,638 2,645,819 7,937,458 3,968,729 11,906,188 5,953,094 2,976,547 8,929,642 4,464,821 13,394,464 6,697,232 3,348,616 1,674,308 837,154 418,577 1,255,732 627,866 313,933 941,800 470,900 235,450 117,725 353,176 176,588 88,294 44,147 132,442 66,221 198,664 99,332 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658

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