λ
Harmonic Matrix

4,042,762

2 × 2021381
Deficient Even Composite

4,042,762 has digital root 7. The neighboring primes are 4042757 and 4042769; its proper-divisor sum differs from the starting integer by -2,021,378.

Prime Factor Structure

Factorization String 2 × 2021381
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,064,146
Proper Divisor Sum 2,021,384
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4042757 ← → #4042769

Radix Representation

Decimal 4042762
Binary 1111011011000000001010 (22 bits)
Octal 0o17330012
Hexadecimal 0x3DB00A

Divisor Catalog (4)

1 2 2,021,381 4,042,762

Collatz Trajectory (110 steps to reach 1)

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

4,042,762 2,021,381 6,064,144 3,032,072 1,516,036 758,018 379,009 1,137,028 568,514 284,257 852,772 426,386 213,193 639,580 319,790 159,895 479,686 239,843 719,530 359,765 1,079,296 539,648 269,824 134,912 67,456 33,728 16,864 8,432 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

More profiles

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