λ
Prime Ledger

4,231,767

3 × 29 × 127 × 383
Deficient Odd Composite

4,231,767 has the prime decomposition 3 × 29 × 127 × 383. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 127 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,898,240
Proper Divisor Sum 1,666,473
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4231763 ← → #4231769

Radix Representation

Decimal 4231767
Binary 10000001001001001010111 (23 bits)
Octal 0o20111127
Hexadecimal 0x409257

Divisor Catalog (16)

1 3 29 87 127 381 383 1,149 3,683 11,049 11,107 33,321 48,641 145,923 1,410,589 4,231,767

Collatz Trajectory (180 steps to reach 1)

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

4,231,767 12,695,302 6,347,651 19,042,954 9,521,477 28,564,432 14,282,216 7,141,108 3,570,554 1,785,277 5,355,832 2,677,916 1,338,958 669,479 2,008,438 1,004,219 3,012,658 1,506,329 4,518,988 2,259,494 1,129,747 3,389,242 1,694,621 5,083,864 2,541,932 1,270,966 635,483 1,906,450 953,225 2,859,676 1,429,838 714,919 2,144,758 1,072,379 3,217,138 1,608,569 4,825,708 2,412,854 1,206,427 3,619,282 1,809,641 5,428,924 2,714,462 1,357,231 4,071,694 2,035,847 6,107,542 3,053,771 9,161,314 4,580,657 13,741,972 6,870,986 3,435,493 10,306,480 5,153,240 2,576,620 1,288,310 644,155 1,932,466 966,233

More profiles

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