λ
Prime Ledger

4,069,962

2 × 32 × 13 × 17393
Abundant Even Composite

4,069,962 has the prime decomposition 2 × 3^2 × 13 × 17393. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 17393
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,497,124
Proper Divisor Sum 5,427,162
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4069937 ← → #4069991

Radix Representation

Decimal 4069962
Binary 1111100001101001001010 (22 bits)
Octal 0o17415112
Hexadecimal 0x3E1A4A

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 17,393 34,786 52,179 104,358 156,537 226,109 313,074 452,218 678,327 1,356,654 2,034,981 4,069,962

Collatz Trajectory (92 steps to reach 1)

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

4,069,962 2,034,981 6,104,944 3,052,472 1,526,236 763,118 381,559 1,144,678 572,339 1,717,018 858,509 2,575,528 1,287,764 643,882 321,941 965,824 482,912 241,456 120,728 60,364 30,182 15,091 45,274 22,637 67,912 33,956 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304

More profiles

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