1,609,124

2² × 11 × 36571

1,609,124 factors as 2^2 × 11 × 36571. Its 12 positive divisors give a proper-divisor sum of 1,462,924, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 36571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,072,048

Proper Divisor Sum 1,462,924

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1609109 ← → #1609141

Radix Representation

Decimal	1609124
Binary	110001000110110100100 (21 bits)
Octal	0o6106644
Hexadecimal	0x188DA4

Divisor Catalog (12)

1 2 4 11 22 44 36,571 73,142 146,284 402,281 804,562 1,609,124

Collatz Trajectory (207 steps to reach 1)

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

1,609,124 804,562 402,281 1,206,844 603,422 301,711 905,134 452,567 1,357,702 678,851 2,036,554 1,018,277 3,054,832 1,527,416 763,708 381,854 190,927 572,782 286,391 859,174 429,587 1,288,762 644,381 1,933,144 966,572 483,286 241,643 724,930 362,465 1,087,396 543,698 271,849 815,548 407,774 203,887 611,662 305,831 917,494 458,747 1,376,242 688,121 2,064,364 1,032,182 516,091 1,548,274 774,137 2,322,412 1,161,206 580,603 1,741,810 870,905 2,612,716 1,306,358 653,179 1,959,538 979,769 2,939,308 1,469,654 734,827 2,204,482

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