252,609

3 × 7 × 23 × 523

252,609 factors as 3 × 7 × 23 × 523. Its 16 positive divisors give a proper-divisor sum of 149,823, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 402,432

Proper Divisor Sum 149,823

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #252607 ← → #252611

Radix Representation

Decimal	252609
Binary	111101101011000001 (18 bits)
Octal	0o755301
Hexadecimal	0x3DAC1

Divisor Catalog (16)

1 3 7 21 23 69 161 483 523 1,569 3,661 10,983 12,029 36,087 84,203 252,609

Collatz Trajectory (181 steps to reach 1)

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

252,609 757,828 378,914 189,457 568,372 284,186 142,093 426,280 213,140 106,570 53,285 159,856 79,928 39,964 19,982 9,991 29,974 14,987 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638

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