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Atlas › Integer Profiles › Node 17,071

17,071

43 × 397
Deficient Odd Composite

17,071 has the prime decomposition 43 × 397. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 43 × 397
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 17,512
Proper Divisor Sum 441
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #17053 ← → #17077

Radix Representation

Decimal 17071
Binary 100001010101111 (15 bits)
Octal 0o41257
Hexadecimal 0x42AF

Divisor Catalog (4)

1 43 397 17,071

Collatz Trajectory (172 steps to reach 1)

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

17,071 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109

More profiles

1,452,992 7,896,951 2,100,935 3,149,589 9,451,144 4,813,230 1,676,677 8,322,066 5,602,922 8,860,459 7,061,157 8,786,082 6,466,398 3,558,266 9,019,056 3,036,250
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