1,541,580

2² × 3 × 5 × 25693

1,541,580 factors as 2^2 × 3 × 5 × 25693. Its 24 positive divisors give a proper-divisor sum of 2,775,012, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 25693

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,316,592

Proper Divisor Sum 2,775,012

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1541539 ← → #1541581

Radix Representation

Decimal	1541580
Binary	101111000010111001100 (21 bits)
Octal	0o5702714
Hexadecimal	0x1785CC

Divisor Catalog (24)

Collatz Trajectory (194 steps to reach 1)

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

1,541,580 770,790 385,395 1,156,186 578,093 1,734,280 867,140 433,570 216,785 650,356 325,178 162,589 487,768 243,884 121,942 60,971 182,914 91,457 274,372 137,186 68,593 205,780 102,890 51,445 154,336 77,168 38,584 19,292 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633

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