λ
Harmonic Matrix

3,773,421

32 × 227 × 1847
Deficient Odd Composite

3,773,421 has digital root 9. The neighboring primes are 3773417 and 3773431; its proper-divisor sum differs from the starting integer by -2,069,370.

Prime Factor Structure

Factorization String 3^2 × 227 × 1847
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,477,472
Proper Divisor Sum 1,704,051
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3773417 ← → #3773431

Radix Representation

Decimal 3773421
Binary 1110011001001111101101 (22 bits)
Octal 0o16311755
Hexadecimal 0x3993ED

Divisor Catalog (12)

1 3 9 227 681 1,847 2,043 5,541 16,623 419,269 1,257,807 3,773,421

Collatz Trajectory (203 steps to reach 1)

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

3,773,421 11,320,264 5,660,132 2,830,066 1,415,033 4,245,100 2,122,550 1,061,275 3,183,826 1,591,913 4,775,740 2,387,870 1,193,935 3,581,806 1,790,903 5,372,710 2,686,355 8,059,066 4,029,533 12,088,600 6,044,300 3,022,150 1,511,075 4,533,226 2,266,613 6,799,840 3,399,920 1,699,960 849,980 424,990 212,495 637,486 318,743 956,230 478,115 1,434,346 717,173 2,151,520 1,075,760 537,880 268,940 134,470 67,235 201,706 100,853 302,560 151,280 75,640 37,820 18,910 9,455 28,366 14,183 42,550 21,275 63,826 31,913 95,740 47,870 23,935

More profiles

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