248,591

7 × 17 × 2089

248,591 factors as 7 × 17 × 2089. Its 8 positive divisors give a proper-divisor sum of 52,369, so this integer is deficient. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 7 × 17 × 2089

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 300,960

Proper Divisor Sum 52,369

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #248587 ← → #248593

Radix Representation

Decimal	248591
Binary	111100101100001111 (18 bits)
Octal	0o745417
Hexadecimal	0x3CB0F

Divisor Catalog (8)

1 7 17 119 2,089 14,623 35,513 248,591

Collatz Trajectory (57 steps to reach 1)

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

248,591 745,774 372,887 1,118,662 559,331 1,677,994 838,997 2,516,992 1,258,496 629,248 314,624 157,312 78,656 39,328 19,664 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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