17,201,697

3 × 79 × 181 × 401

17,201,697 factors as 3 × 79 × 181 × 401. Its 16 positive divisors give a proper-divisor sum of 6,210,783, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3 × 79 × 181 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 23,412,480

Proper Divisor Sum 6,210,783

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #17201693 ← → #17201711

Radix Representation

Decimal	17201697
Binary	1000001100111101000100001 (25 bits)
Octal	0o101475041
Hexadecimal	0x1067A21

Divisor Catalog (16)

1 3 79 181 237 401 543 1,203 14,299 31,679 42,897 72,581 95,037 217,743 5,733,899 17,201,697

Collatz Trajectory (138 steps to reach 1)

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

17,201,697 51,605,092 25,802,546 12,901,273 38,703,820 19,351,910 9,675,955 29,027,866 14,513,933 43,541,800 21,770,900 10,885,450 5,442,725 16,328,176 8,164,088 4,082,044 2,041,022 1,020,511 3,061,534 1,530,767 4,592,302 2,296,151 6,888,454 3,444,227 10,332,682 5,166,341 15,499,024 7,749,512 3,874,756 1,937,378 968,689 2,906,068 1,453,034 726,517 2,179,552 1,089,776 544,888 272,444 136,222 68,111 204,334 102,167 306,502 153,251 459,754 229,877 689,632 344,816 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106

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