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Atlas › Integer Profiles › Node 3,977,586

3,977,586

2 × 34 × 43 × 571
Abundant Even Composite

3,977,586 factors as 2 × 3^4 × 43 × 571. Its 40 positive divisors give a proper-divisor sum of 5,158,398, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 43 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,135,984
Proper Divisor Sum 5,158,398
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3977573 ← → #3977587

Radix Representation

Decimal 3977586
Binary 1111001011000101110010 (22 bits)
Octal 0o17130562
Hexadecimal 0x3CB172

Divisor Catalog (40)

1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 571 774 1,142 1,161 1,713 2,322 3,426 3,483 5,139 6,966 10,278 15,417 24,553 30,834 46,251 49,106 73,659 92,502 147,318 220,977 441,954 662,931 1,325,862 1,988,793 3,977,586

Collatz Trajectory (154 steps to reach 1)

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

3,977,586 1,988,793 5,966,380 2,983,190 1,491,595 4,474,786 2,237,393 6,712,180 3,356,090 1,678,045 5,034,136 2,517,068 1,258,534 629,267 1,887,802 943,901 2,831,704 1,415,852 707,926 353,963 1,061,890 530,945 1,592,836 796,418 398,209 1,194,628 597,314 298,657 895,972 447,986 223,993 671,980 335,990 167,995 503,986 251,993 755,980 377,990 188,995 566,986 283,493 850,480 425,240 212,620 106,310 53,155 159,466 79,733 239,200 119,600 59,800 29,900 14,950 7,475 22,426 11,213 33,640 16,820 8,410 4,205

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