1,609,342

2 × 7 × 139 × 827

1,609,342 factors as 2 × 7 × 139 × 827. Its 16 positive divisors give a proper-divisor sum of 1,172,738, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 7 × 139 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,782,080

Proper Divisor Sum 1,172,738

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1609301 ← → #1609367

Radix Representation

Decimal	1609342
Binary	110001000111001111110 (21 bits)
Octal	0o6107176
Hexadecimal	0x188E7E

Divisor Catalog (16)

1 2 7 14 139 278 827 973 1,654 1,946 5,789 11,578 114,953 229,906 804,671 1,609,342

Collatz Trajectory (119 steps to reach 1)

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

1,609,342 804,671 2,414,014 1,207,007 3,621,022 1,810,511 5,431,534 2,715,767 8,147,302 4,073,651 12,220,954 6,110,477 18,331,432 9,165,716 4,582,858 2,291,429 6,874,288 3,437,144 1,718,572 859,286 429,643 1,288,930 644,465 1,933,396 966,698 483,349 1,450,048 725,024 362,512 181,256 90,628 45,314 22,657 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702

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