699,135

3 × 5 × 127 × 367

699,135 factors as 3 × 5 × 127 × 367. Its 16 positive divisors give a proper-divisor sum of 431,361, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3 × 5 × 127 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,130,496

Proper Divisor Sum 431,361

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #699133 ← → #699151

Radix Representation

Decimal	699135
Binary	10101010101011111111 (20 bits)
Octal	0o2525377
Hexadecimal	0xAAAFF

Divisor Catalog (16)

1 3 5 15 127 367 381 635 1,101 1,835 1,905 5,505 46,609 139,827 233,045 699,135

Collatz Trajectory (105 steps to reach 1)

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

699,135 2,097,406 1,048,703 3,146,110 1,573,055 4,719,166 2,359,583 7,078,750 3,539,375 10,618,126 5,309,063 15,927,190 7,963,595 23,890,786 11,945,393 35,836,180 17,918,090 8,959,045 26,877,136 13,438,568 6,719,284 3,359,642 1,679,821 5,039,464 2,519,732 1,259,866 629,933 1,889,800 944,900 472,450 236,225 708,676 354,338 177,169 531,508 265,754 132,877 398,632 199,316 99,658 49,829 149,488 74,744 37,372 18,686 9,343 28,030 14,015 42,046 21,023 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650

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