2,562,542

2 × 43 × 83 × 359

2,562,542 factors as 2 × 43 × 83 × 359. Its 16 positive divisors give a proper-divisor sum of 1,429,138, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 43 × 83 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,991,680

Proper Divisor Sum 1,429,138

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2562533 ← → #2562551

Radix Representation

Decimal	2562542
Binary	1001110001100111101110 (22 bits)
Octal	0o11614756
Hexadecimal	0x2719EE

Divisor Catalog (16)

1 2 43 83 86 166 359 718 3,569 7,138 15,437 29,797 30,874 59,594 1,281,271 2,562,542

Collatz Trajectory (174 steps to reach 1)

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

2,562,542 1,281,271 3,843,814 1,921,907 5,765,722 2,882,861 8,648,584 4,324,292 2,162,146 1,081,073 3,243,220 1,621,610 810,805 2,432,416 1,216,208 608,104 304,052 152,026 76,013 228,040 114,020 57,010 28,505 85,516 42,758 21,379 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711

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