λ
Modular Archive

842,541

3 × 7 × 53 × 757
Deficient Odd Composite

The decimal integer 842,541 is 11001101101100101101 in binary (20 bits), 3155455 in octal and CDB2D in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 3 × 7 × 53 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,309,824
Proper Divisor Sum 467,283
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #842531 ← → #842551

Radix Representation

Decimal 842541
Binary 11001101101100101101 (20 bits)
Octal 0o3155455
Hexadecimal 0xCDB2D

Divisor Catalog (16)

1 3 7 21 53 159 371 757 1,113 2,271 5,299 15,897 40,121 120,363 280,847 842,541

Collatz Trajectory (82 steps to reach 1)

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

842,541 2,527,624 1,263,812 631,906 315,953 947,860 473,930 236,965 710,896 355,448 177,724 88,862 44,431 133,294 66,647 199,942 99,971 299,914 149,957 449,872 224,936 112,468 56,234 28,117 84,352 42,176 21,088 10,544 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152

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