3,352,681

31 × 37² × 79

3,352,681 factors as 31 × 37^2 × 79. Its 12 positive divisors give a proper-divisor sum of 249,239, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 31 × 37^2 × 79

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,601,920

Proper Divisor Sum 249,239

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3352669 ← → #3352703

Radix Representation

Decimal	3352681
Binary	1100110010100001101001 (22 bits)
Octal	0o14624151
Hexadecimal	0x332869

Divisor Catalog (12)

1 31 37 79 1,147 1,369 2,449 2,923 42,439 90,613 108,151 3,352,681

Collatz Trajectory (208 steps to reach 1)

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

3,352,681 10,058,044 5,029,022 2,514,511 7,543,534 3,771,767 11,315,302 5,657,651 16,972,954 8,486,477 25,459,432 12,729,716 6,364,858 3,182,429 9,547,288 4,773,644 2,386,822 1,193,411 3,580,234 1,790,117 5,370,352 2,685,176 1,342,588 671,294 335,647 1,006,942 503,471 1,510,414 755,207 2,265,622 1,132,811 3,398,434 1,699,217 5,097,652 2,548,826 1,274,413 3,823,240 1,911,620 955,810 477,905 1,433,716 716,858 358,429 1,075,288 537,644 268,822 134,411 403,234 201,617 604,852 302,426 151,213 453,640 226,820 113,410 56,705 170,116 85,058 42,529 127,588

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