λ
Integer Codex

2,701,583

2701583
Deficient Odd Prime

For 2,701,583, the 2 positive divisors have a total of 2,701,584. Removing 2,701,583 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2701583
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,701,584
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2701579 ← → #2701597

Radix Representation

Decimal 2701583
Binary 1010010011100100001111 (22 bits)
Octal 0o12234417
Hexadecimal 0x29390F

Divisor Catalog (2)

Collatz Trajectory (112 steps to reach 1)

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

2,701,583 8,104,750 4,052,375 12,157,126 6,078,563 18,235,690 9,117,845 27,353,536 13,676,768 6,838,384 3,419,192 1,709,596 854,798 427,399 1,282,198 641,099 1,923,298 961,649 2,884,948 1,442,474 721,237 2,163,712 1,081,856 540,928 270,464 135,232 67,616 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479

More profiles

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