λ
Sigma Notebook

7,324,422

2 × 3 × 73 × 3559
Abundant Even Composite

7,324,422 is even and not a perfect square. Its factorization is 2 × 3 × 7^3 × 3559 and its 32 divisors sum to 17,088,000.

Prime Factor Structure

Factorization String 2 × 3 × 7^3 × 3559
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,088,000
Proper Divisor Sum 9,763,578
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7324417 ← → #7324423

Radix Representation

Decimal 7324422
Binary 11011111100001100000110 (23 bits)
Octal 0o33741406
Hexadecimal 0x6FC306

Divisor Catalog (32)

1 2 3 6 7 14 21 42 49 98 147 294 343 686 1,029 2,058 3,559 7,118 10,677 21,354 24,913 49,826 74,739 149,478 174,391 348,782 523,173 1,046,346 1,220,737 2,441,474 3,662,211 7,324,422

Collatz Trajectory (59 steps to reach 1)

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

7,324,422 3,662,211 10,986,634 5,493,317 16,479,952 8,239,976 4,119,988 2,059,994 1,029,997 3,089,992 1,544,996 772,498 386,249 1,158,748 579,374 289,687 869,062 434,531 1,303,594 651,797 1,955,392 977,696 488,848 244,424 122,212 61,106 30,553 91,660 45,830 22,915 68,746 34,373 103,120 51,560 25,780 12,890 6,445 19,336 9,668 4,834 2,417 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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