216,713

7 × 83 × 373

216,713 factors as 7 × 83 × 373. Its 8 positive divisors give a proper-divisor sum of 34,615, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 7 × 83 × 373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 251,328

Proper Divisor Sum 34,615

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #216703 ← → #216719

Radix Representation

Decimal	216713
Binary	110100111010001001 (18 bits)
Octal	0o647211
Hexadecimal	0x34E89

Divisor Catalog (8)

1 7 83 373 581 2,611 30,959 216,713

Collatz Trajectory (155 steps to reach 1)

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

216,713 650,140 325,070 162,535 487,606 243,803 731,410 365,705 1,097,116 548,558 274,279 822,838 411,419 1,234,258 617,129 1,851,388 925,694 462,847 1,388,542 694,271 2,082,814 1,041,407 3,124,222 1,562,111 4,686,334 2,343,167 7,029,502 3,514,751 10,544,254 5,272,127 15,816,382 7,908,191 23,724,574 11,862,287 35,586,862 17,793,431 53,380,294 26,690,147 80,070,442 40,035,221 120,105,664 60,052,832 30,026,416 15,013,208 7,506,604 3,753,302 1,876,651 5,629,954 2,814,977 8,444,932 4,222,466 2,111,233 6,333,700 3,166,850 1,583,425 4,750,276 2,375,138 1,187,569 3,562,708 1,781,354

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