347,633

11² × 13² × 17

347,633 factors as 11^2 × 13^2 × 17. Its 18 positive divisors give a proper-divisor sum of 90,469, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 11^2 × 13^2 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 438,102

Proper Divisor Sum 90,469

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #347629 ← → #347651

Radix Representation

Decimal	347633
Binary	1010100110111110001 (19 bits)
Octal	0o1246761
Hexadecimal	0x54DF1

Divisor Catalog (18)

1 11 13 17 121 143 169 187 221 1,573 1,859 2,057 2,431 2,873 20,449 26,741 31,603 347,633

Collatz Trajectory (104 steps to reach 1)

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

347,633 1,042,900 521,450 260,725 782,176 391,088 195,544 97,772 48,886 24,443 73,330 36,665 109,996 54,998 27,499 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206

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