3,471,980

2² × 5 × 173599

3,471,980 factors as 2^2 × 5 × 173599. Its 12 positive divisors give a proper-divisor sum of 3,819,220, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 173599

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,291,200

Proper Divisor Sum 3,819,220

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3471959 ← → #3471989

Radix Representation

Decimal	3471980
Binary	1101001111101001101100 (22 bits)
Octal	0o15175154
Hexadecimal	0x34FA6C

Divisor Catalog (12)

1 2 4 5 10 20 173,599 347,198 694,396 867,995 1,735,990 3,471,980

Collatz Trajectory (128 steps to reach 1)

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

3,471,980 1,735,990 867,995 2,603,986 1,301,993 3,905,980 1,952,990 976,495 2,929,486 1,464,743 4,394,230 2,197,115 6,591,346 3,295,673 9,887,020 4,943,510 2,471,755 7,415,266 3,707,633 11,122,900 5,561,450 2,780,725 8,342,176 4,171,088 2,085,544 1,042,772 521,386 260,693 782,080 391,040 195,520 97,760 48,880 24,440 12,220 6,110 3,055 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031

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