7,333,932

2² × 3 × 613 × 997

Starting at 7,333,932, the Collatz iteration reaches 1 after 59 steps. The first transition is 3666966; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 613 × 997

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,157,616

Proper Divisor Sum 9,823,684

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7333901 ← → #7333933

Radix Representation

Decimal	7333932
Binary	11011111110100000101100 (23 bits)
Octal	0o33764054
Hexadecimal	0x6FE82C

Divisor Catalog (24)

1 2 3 4 6 12 613 997 1,226 1,839 1,994 2,452 2,991 3,678 3,988 5,982 7,356 11,964 611,161 1,222,322 1,833,483 2,444,644 3,666,966 7,333,932

Collatz Trajectory (59 steps to reach 1)

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

7,333,932 3,666,966 1,833,483 5,500,450 2,750,225 8,250,676 4,125,338 2,062,669 6,188,008 3,094,004 1,547,002 773,501 2,320,504 1,160,252 580,126 290,063 870,190 435,095 1,305,286 652,643 1,957,930 978,965 2,936,896 1,468,448 734,224 367,112 183,556 91,778 45,889 137,668 68,834 34,417 103,252 51,626 25,813 77,440 38,720 19,360 9,680 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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