8,121,421

7 × 11 × 29 × 3637

For 8,121,421, the 16 positive divisors have a total of 10,477,440. Removing 8,121,421 leaves 2,356,019, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 11 × 29 × 3637

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,477,440

Proper Divisor Sum 2,356,019

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8121419 ← → #8121431

Radix Representation

Decimal	8121421
Binary	11110111110110001001101 (23 bits)
Octal	0o36766115
Hexadecimal	0x7BEC4D

Divisor Catalog (16)

1 7 11 29 77 203 319 2,233 3,637 25,459 40,007 105,473 280,049 738,311 1,160,203 8,121,421

Collatz Trajectory (111 steps to reach 1)

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

8,121,421 24,364,264 12,182,132 6,091,066 3,045,533 9,136,600 4,568,300 2,284,150 1,142,075 3,426,226 1,713,113 5,139,340 2,569,670 1,284,835 3,854,506 1,927,253 5,781,760 2,890,880 1,445,440 722,720 361,360 180,680 90,340 45,170 22,585 67,756 33,878 16,939 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438

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