816,973

59 × 61 × 227

816,973 factors as 59 × 61 × 227. Its 8 positive divisors give a proper-divisor sum of 31,187, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 59 × 61 × 227

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 848,160

Proper Divisor Sum 31,187

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #816971 ← → #817013

Radix Representation

Decimal	816973
Binary	11000111011101001101 (20 bits)
Octal	0o3073515
Hexadecimal	0xC774D

Divisor Catalog (8)

1 59 61 227 3,599 13,393 13,847 816,973

Collatz Trajectory (118 steps to reach 1)

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

816,973 2,450,920 1,225,460 612,730 306,365 919,096 459,548 229,774 114,887 344,662 172,331 516,994 258,497 775,492 387,746 193,873 581,620 290,810 145,405 436,216 218,108 109,054 54,527 163,582 81,791 245,374 122,687 368,062 184,031 552,094 276,047 828,142 414,071 1,242,214 621,107 1,863,322 931,661 2,794,984 1,397,492 698,746 349,373 1,048,120 524,060 262,030 131,015 393,046 196,523 589,570 294,785 884,356 442,178 221,089 663,268 331,634 165,817 497,452 248,726 124,363 373,090 186,545

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