817,136

2⁴ × 51071

817,136 factors as 2^4 × 51071. Its 10 positive divisors give a proper-divisor sum of 766,096, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^4 × 51071

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,583,232

Proper Divisor Sum 766,096

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #817127 ← → #817147

Radix Representation

Decimal	817136
Binary	11000111011111110000 (20 bits)
Octal	0o3073760
Hexadecimal	0xC77F0

Divisor Catalog (10)

1 2 4 8 16 51,071 102,142 204,284 408,568 817,136

Collatz Trajectory (219 steps to reach 1)

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

817,136 408,568 204,284 102,142 51,071 153,214 76,607 229,822 114,911 344,734 172,367 517,102 258,551 775,654 387,827 1,163,482 581,741 1,745,224 872,612 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135 1,104,406 552,203 1,656,610 828,305 2,484,916 1,242,458 621,229 1,863,688 931,844 465,922 232,961 698,884 349,442 174,721 524,164 262,082 131,041 393,124 196,562 98,281 294,844 147,422 73,711 221,134 110,567 331,702 165,851 497,554 248,777 746,332 373,166 186,583

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