4,041,821

7 × 41 × 14083

4,041,821 has digital root 2. The neighboring primes are 4041803 and 4041827; its proper-divisor sum differs from the starting integer by -3,351,418.

Prime Factor Structure

Factorization String 7 × 41 × 14083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,732,224

Proper Divisor Sum 690,403

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4041803 ← → #4041827

Radix Representation

Decimal	4041821
Binary	1111011010110001011101 (22 bits)
Octal	0o17326135
Hexadecimal	0x3DAC5D

Divisor Catalog (8)

1 7 41 287 14,083 98,581 577,403 4,041,821

Collatz Trajectory (110 steps to reach 1)

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

4,041,821 12,125,464 6,062,732 3,031,366 1,515,683 4,547,050 2,273,525 6,820,576 3,410,288 1,705,144 852,572 426,286 213,143 639,430 319,715 959,146 479,573 1,438,720 719,360 359,680 179,840 89,920 44,960 22,480 11,240 5,620 2,810 1,405 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

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