6,472,025

5² × 7 × 31 × 1193

6,472,025 factors as 5^2 × 7 × 31 × 1193. Its 24 positive divisors give a proper-divisor sum of 3,003,559, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 31 × 1193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,475,584

Proper Divisor Sum 3,003,559

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6472021 ← → #6472049

Radix Representation

Decimal	6472025
Binary	11000101100000101011001 (23 bits)
Octal	0o30540531
Hexadecimal	0x62C159

Divisor Catalog (24)

Collatz Trajectory (72 steps to reach 1)

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

6,472,025 19,416,076 9,708,038 4,854,019 14,562,058 7,281,029 21,843,088 10,921,544 5,460,772 2,730,386 1,365,193 4,095,580 2,047,790 1,023,895 3,071,686 1,535,843 4,607,530 2,303,765 6,911,296 3,455,648 1,727,824 863,912 431,956 215,978 107,989 323,968 161,984 80,992 40,496 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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