6,974,725

5² × 157 × 1777

6,974,725 factors as 5^2 × 157 × 1777. Its 12 positive divisors give a proper-divisor sum of 1,733,919, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 5^2 × 157 × 1777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,708,644

Proper Divisor Sum 1,733,919

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6974711 ← → #6974731

Radix Representation

Decimal	6974725
Binary	11010100110110100000101 (23 bits)
Octal	0o32466405
Hexadecimal	0x6A6D05

Divisor Catalog (12)

1 5 25 157 785 1,777 3,925 8,885 44,425 278,989 1,394,945 6,974,725

Collatz Trajectory (191 steps to reach 1)

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

6,974,725 20,924,176 10,462,088 5,231,044 2,615,522 1,307,761 3,923,284 1,961,642 980,821 2,942,464 1,471,232 735,616 367,808 183,904 91,952 45,976 22,988 11,494 5,747 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720

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