λ
Ratio Atlas

1,541,742

2 × 3 × 256957
Abundant Even Composite

1,541,742 factors as 2 × 3 × 256957. Its 8 positive divisors give a proper-divisor sum of 1,541,754, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 3 × 256957
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,083,496
Proper Divisor Sum 1,541,754
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1541731 ← → #1541773

Radix Representation

Decimal 1541742
Binary 101111000011001101110 (21 bits)
Octal 0o5703156
Hexadecimal 0x17866E

Divisor Catalog (8)

1 2 3 6 256,957 513,914 770,871 1,541,742

Collatz Trajectory (150 steps to reach 1)

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

1,541,742 770,871 2,312,614 1,156,307 3,468,922 1,734,461 5,203,384 2,601,692 1,300,846 650,423 1,951,270 975,635 2,926,906 1,463,453 4,390,360 2,195,180 1,097,590 548,795 1,646,386 823,193 2,469,580 1,234,790 617,395 1,852,186 926,093 2,778,280 1,389,140 694,570 347,285 1,041,856 520,928 260,464 130,232 65,116 32,558 16,279 48,838 24,419 73,258 36,629 109,888 54,944 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274

More profiles

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