λ
Match Zalai

5,456,585

5 × 271 × 4027
Deficient Odd Composite

5,456,585 factors as 5 × 271 × 4027. Its 8 positive divisors give a proper-divisor sum of 1,117,111, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 5 × 271 × 4027
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,573,696
Proper Divisor Sum 1,117,111
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5456579 ← → #5456597

Radix Representation

Decimal 5456585
Binary 10100110100001011001001 (23 bits)
Octal 0o24641311
Hexadecimal 0x5342C9

Divisor Catalog (8)

1 5 271 1,355 4,027 20,135 1,091,317 5,456,585

Collatz Trajectory (201 steps to reach 1)

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

5,456,585 16,369,756 8,184,878 4,092,439 12,277,318 6,138,659 18,415,978 9,207,989 27,623,968 13,811,984 6,905,992 3,452,996 1,726,498 863,249 2,589,748 1,294,874 647,437 1,942,312 971,156 485,578 242,789 728,368 364,184 182,092 91,046 45,523 136,570 68,285 204,856 102,428 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771

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