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Atlas › Integer Profiles › Node 5,877,414

5,877,414

2 × 33 × 31 × 3511
Abundant Even Composite

5,877,414 factors as 2 × 3^3 × 31 × 3511. Its 32 positive divisors give a proper-divisor sum of 7,608,666, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 3511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,486,080
Proper Divisor Sum 7,608,666
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5877407 ← → #5877419

Radix Representation

Decimal 5877414
Binary 10110011010111010100110 (23 bits)
Octal 0o26327246
Hexadecimal 0x59AEA6

Divisor Catalog (32)

1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1,674 3,511 7,022 10,533 21,066 31,599 63,198 94,797 108,841 189,594 217,682 326,523 653,046 979,569 1,959,138 2,938,707 5,877,414

Collatz Trajectory (152 steps to reach 1)

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

5,877,414 2,938,707 8,816,122 4,408,061 13,224,184 6,612,092 3,306,046 1,653,023 4,959,070 2,479,535 7,438,606 3,719,303 11,157,910 5,578,955 16,736,866 8,368,433 25,105,300 12,552,650 6,276,325 18,828,976 9,414,488 4,707,244 2,353,622 1,176,811 3,530,434 1,765,217 5,295,652 2,647,826 1,323,913 3,971,740 1,985,870 992,935 2,978,806 1,489,403 4,468,210 2,234,105 6,702,316 3,351,158 1,675,579 5,026,738 2,513,369 7,540,108 3,770,054 1,885,027 5,655,082 2,827,541 8,482,624 4,241,312 2,120,656 1,060,328 530,164 265,082 132,541 397,624 198,812 99,406 49,703 149,110 74,555 223,666

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