λ
Prime Ledger

3,007,526

2 × 23 × 65381
Deficient Even Composite

3,007,526 has the prime decomposition 2 × 23 × 65381. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 65381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,707,504
Proper Divisor Sum 1,699,978
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3007507 ← → #3007531

Radix Representation

Decimal 3007526
Binary 1011011110010000100110 (22 bits)
Octal 0o13362046
Hexadecimal 0x2DE426

Divisor Catalog (8)

1 2 23 46 65,381 130,762 1,503,763 3,007,526

Collatz Trajectory (138 steps to reach 1)

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

3,007,526 1,503,763 4,511,290 2,255,645 6,766,936 3,383,468 1,691,734 845,867 2,537,602 1,268,801 3,806,404 1,903,202 951,601 2,854,804 1,427,402 713,701 2,141,104 1,070,552 535,276 267,638 133,819 401,458 200,729 602,188 301,094 150,547 451,642 225,821 677,464 338,732 169,366 84,683 254,050 127,025 381,076 190,538 95,269 285,808 142,904 71,452 35,726 17,863 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078

More profiles

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