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Atlas › Integer Profiles › Node 3,487,740

3,487,740

22 × 3 × 5 × 58129
Abundant Even Composite

3,487,740 factors as 2^2 × 3 × 5 × 58129. Its 24 positive divisors give a proper-divisor sum of 6,278,100, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 58129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,765,840
Proper Divisor Sum 6,278,100
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3487709 ← → #3487751

Radix Representation

Decimal 3487740
Binary 1101010011011111111100 (22 bits)
Octal 0o15233774
Hexadecimal 0x3537FC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 58,129 116,258 174,387 232,516 290,645 348,774 581,290 697,548 871,935 1,162,580 1,743,870 3,487,740

Collatz Trajectory (159 steps to reach 1)

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

3,487,740 1,743,870 871,935 2,615,806 1,307,903 3,923,710 1,961,855 5,885,566 2,942,783 8,828,350 4,414,175 13,242,526 6,621,263 19,863,790 9,931,895 29,795,686 14,897,843 44,693,530 22,346,765 67,040,296 33,520,148 16,760,074 8,380,037 25,140,112 12,570,056 6,285,028 3,142,514 1,571,257 4,713,772 2,356,886 1,178,443 3,535,330 1,767,665 5,302,996 2,651,498 1,325,749 3,977,248 1,988,624 994,312 497,156 248,578 124,289 372,868 186,434 93,217 279,652 139,826 69,913 209,740 104,870 52,435 157,306 78,653 235,960 117,980 58,990 29,495 88,486 44,243 132,730

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