174,591

3² × 19 × 1021

174,591 factors as 3^2 × 19 × 1021. Its 12 positive divisors give a proper-divisor sum of 91,129, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 1021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 265,720

Proper Divisor Sum 91,129

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #174583 ← → #174599

Radix Representation

Decimal	174591
Binary	101010100111111111 (18 bits)
Octal	0o524777
Hexadecimal	0x2A9FF

Divisor Catalog (12)

1 3 9 19 57 171 1,021 3,063 9,189 19,399 58,197 174,591

Collatz Trajectory (134 steps to reach 1)

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

174,591 523,774 261,887 785,662 392,831 1,178,494 589,247 1,767,742 883,871 2,651,614 1,325,807 3,977,422 1,988,711 5,966,134 2,983,067 8,949,202 4,474,601 13,423,804 6,711,902 3,355,951 10,067,854 5,033,927 15,101,782 7,550,891 22,652,674 11,326,337 33,979,012 16,989,506 8,494,753 25,484,260 12,742,130 6,371,065 19,113,196 9,556,598 4,778,299 14,334,898 7,167,449 21,502,348 10,751,174 5,375,587 16,126,762 8,063,381 24,190,144 12,095,072 6,047,536 3,023,768 1,511,884 755,942 377,971 1,133,914 566,957 1,700,872 850,436 425,218 212,609 637,828 318,914 159,457 478,372 239,186

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