λ
Prime Ledger

4,040,915

5 × 73 × 11071
Deficient Odd Composite

4,040,915 has the prime decomposition 5 × 73 × 11071. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 73 × 11071
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,915,968
Proper Divisor Sum 875,053
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4040903 ← → #4040921

Radix Representation

Decimal 4040915
Binary 1111011010100011010011 (22 bits)
Octal 0o17324323
Hexadecimal 0x3DA8D3

Divisor Catalog (8)

1 5 73 365 11,071 55,355 808,183 4,040,915

Collatz Trajectory (260 steps to reach 1)

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

4,040,915 12,122,746 6,061,373 18,184,120 9,092,060 4,546,030 2,273,015 6,819,046 3,409,523 10,228,570 5,114,285 15,342,856 7,671,428 3,835,714 1,917,857 5,753,572 2,876,786 1,438,393 4,315,180 2,157,590 1,078,795 3,236,386 1,618,193 4,854,580 2,427,290 1,213,645 3,640,936 1,820,468 910,234 455,117 1,365,352 682,676 341,338 170,669 512,008 256,004 128,002 64,001 192,004 96,002 48,001 144,004 72,002 36,001 108,004 54,002 27,001 81,004 40,502 20,251 60,754 30,377 91,132 45,566 22,783 68,350 34,175 102,526 51,263 153,790

More profiles

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