7,142,584

2³ × 17 × 29 × 1811

7,142,584 factors as 2^3 × 17 × 29 × 1811. Its 32 positive divisors give a proper-divisor sum of 7,534,616, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 29 × 1811

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,677,200

Proper Divisor Sum 7,534,616

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7142563 ← → #7142593

Radix Representation

Decimal	7142584
Binary	11011001111110010111000 (23 bits)
Octal	0o33176270
Hexadecimal	0x6CFCB8

Divisor Catalog (32)

1 2 4 8 17 29 34 58 68 116 136 232 493 986 1,811 1,972 3,622 3,944 7,244 14,488 30,787 52,519 61,574 105,038 123,148 210,076 246,296 420,152 892,823 1,785,646 3,571,292 7,142,584

Collatz Trajectory (191 steps to reach 1)

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

7,142,584 3,571,292 1,785,646 892,823 2,678,470 1,339,235 4,017,706 2,008,853 6,026,560 3,013,280 1,506,640 753,320 376,660 188,330 94,165 282,496 141,248 70,624 35,312 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555

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