6,972,606

2 × 3² × 131 × 2957

6,972,606 factors as 2 × 3^2 × 131 × 2957. Its 24 positive divisors give a proper-divisor sum of 8,255,178, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 131 × 2957

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,227,784

Proper Divisor Sum 8,255,178

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6972593 ← → #6972607

Radix Representation

Decimal	6972606
Binary	11010100110010010111110 (23 bits)
Octal	0o32462276
Hexadecimal	0x6A64BE

Divisor Catalog (24)

Collatz Trajectory (160 steps to reach 1)

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

6,972,606 3,486,303 10,458,910 5,229,455 15,688,366 7,844,183 23,532,550 11,766,275 35,298,826 17,649,413 52,948,240 26,474,120 13,237,060 6,618,530 3,309,265 9,927,796 4,963,898 2,481,949 7,445,848 3,722,924 1,861,462 930,731 2,792,194 1,396,097 4,188,292 2,094,146 1,047,073 3,141,220 1,570,610 785,305 2,355,916 1,177,958 588,979 1,766,938 883,469 2,650,408 1,325,204 662,602 331,301 993,904 496,952 248,476 124,238 62,119 186,358 93,179 279,538 139,769 419,308 209,654 104,827 314,482 157,241 471,724 235,862 117,931 353,794 176,897 530,692 265,346

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