λ
Prime Ledger

172,607

172607
Deficient Odd Prime

172,607 has the prime decomposition 172607. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 172607
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 172,608
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #172603 ← → #172619

Radix Representation

Decimal 172607
Binary 101010001000111111 (18 bits)
Octal 0o521077
Hexadecimal 0x2A23F

Divisor Catalog (2)

Collatz Trajectory (77 steps to reach 1)

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

172,607 517,822 258,911 776,734 388,367 1,165,102 582,551 1,747,654 873,827 2,621,482 1,310,741 3,932,224 1,966,112 983,056 491,528 245,764 122,882 61,441 184,324 92,162 46,081 138,244 69,122 34,561 103,684 51,842 25,921 77,764 38,882 19,441 58,324 29,162 14,581 43,744 21,872 10,936 5,468 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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