178,581

3 × 13 × 19 × 241

178,581 has digital root 3. The neighboring primes are 178571 and 178597; its proper-divisor sum differs from the starting integer by -86,122.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 271,040

Proper Divisor Sum 92,459

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #178571 ← → #178597

Radix Representation

Decimal	178581
Binary	101011100110010101 (18 bits)
Octal	0o534625
Hexadecimal	0x2B995

Divisor Catalog (16)

1 3 13 19 39 57 241 247 723 741 3,133 4,579 9,399 13,737 59,527 178,581

Collatz Trajectory (46 steps to reach 1)

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

178,581 535,744 267,872 133,936 66,968 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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