3,970,419

3 × 29 × 47 × 971

3,970,419 factors as 3 × 29 × 47 × 971. Its 16 positive divisors give a proper-divisor sum of 1,628,301, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3 × 29 × 47 × 971

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,598,720

Proper Divisor Sum 1,628,301

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3970409 ← → #3970423

Radix Representation

Decimal	3970419
Binary	1111001001010101110011 (22 bits)
Octal	0o17112563
Hexadecimal	0x3C9573

Divisor Catalog (16)

1 3 29 47 87 141 971 1,363 2,913 4,089 28,159 45,637 84,477 136,911 1,323,473 3,970,419

Collatz Trajectory (185 steps to reach 1)

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

3,970,419 11,911,258 5,955,629 17,866,888 8,933,444 4,466,722 2,233,361 6,700,084 3,350,042 1,675,021 5,025,064 2,512,532 1,256,266 628,133 1,884,400 942,200 471,100 235,550 117,775 353,326 176,663 529,990 264,995 794,986 397,493 1,192,480 596,240 298,120 149,060 74,530 37,265 111,796 55,898 27,949 83,848 41,924 20,962 10,481 31,444 15,722 7,861 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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