832,702

2 × 13 × 32027

832,702 factors as 2 × 13 × 32027. Its 8 positive divisors give a proper-divisor sum of 512,474, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 13 × 32027

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,345,176

Proper Divisor Sum 512,474

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #832693 ← → #832703

Radix Representation

Decimal	832702
Binary	11001011010010111110 (20 bits)
Octal	0o3132276
Hexadecimal	0xCB4BE

Divisor Catalog (8)

1 2 13 26 32,027 64,054 416,351 832,702

Collatz Trajectory (113 steps to reach 1)

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

832,702 416,351 1,249,054 624,527 1,873,582 936,791 2,810,374 1,405,187 4,215,562 2,107,781 6,323,344 3,161,672 1,580,836 790,418 395,209 1,185,628 592,814 296,407 889,222 444,611 1,333,834 666,917 2,000,752 1,000,376 500,188 250,094 125,047 375,142 187,571 562,714 281,357 844,072 422,036 211,018 105,509 316,528 158,264 79,132 39,566 19,783 59,350 29,675 89,026 44,513 133,540 66,770 33,385 100,156 50,078 25,039 75,118 37,559 112,678 56,339 169,018 84,509 253,528 126,764 63,382 31,691

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