λ
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6,990,932

22 × 13 × 233 × 577
Deficient Even Composite

6,990,932 factors as 2^2 × 13 × 233 × 577. Its 24 positive divisors give a proper-divisor sum of 6,263,764, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 233 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,254,696
Proper Divisor Sum 6,263,764
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6990923 ← → #6990953

Radix Representation

Decimal 6990932
Binary 11010101010110001010100 (23 bits)
Octal 0o32526124
Hexadecimal 0x6AAC54

Divisor Catalog (24)

1 2 4 13 26 52 233 466 577 932 1,154 2,308 3,029 6,058 7,501 12,116 15,002 30,004 134,441 268,882 537,764 1,747,733 3,495,466 6,990,932

Collatz Trajectory (191 steps to reach 1)

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

6,990,932 3,495,466 1,747,733 5,243,200 2,621,600 1,310,800 655,400 327,700 163,850 81,925 245,776 122,888 61,444 30,722 15,361 46,084 23,042 11,521 34,564 17,282 8,641 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235

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