λ
Harmonic Matrix

8,373,436

22 × 2093359
Deficient Even Composite

8,373,436 has digital root 7. The neighboring primes are 8373397 and 8373461; its proper-divisor sum differs from the starting integer by -2,093,352.

Prime Factor Structure

Factorization String 2^2 × 2093359
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,653,520
Proper Divisor Sum 6,280,084
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8373397 ← → #8373461

Radix Representation

Decimal 8373436
Binary 11111111100010010111100 (23 bits)
Octal 0o37742274
Hexadecimal 0x7FC4BC

Divisor Catalog (6)

1 2 4 2,093,359 4,186,718 8,373,436

Collatz Trajectory (230 steps to reach 1)

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

8,373,436 4,186,718 2,093,359 6,280,078 3,140,039 9,420,118 4,710,059 14,130,178 7,065,089 21,195,268 10,597,634 5,298,817 15,896,452 7,948,226 3,974,113 11,922,340 5,961,170 2,980,585 8,941,756 4,470,878 2,235,439 6,706,318 3,353,159 10,059,478 5,029,739 15,089,218 7,544,609 22,633,828 11,316,914 5,658,457 16,975,372 8,487,686 4,243,843 12,731,530 6,365,765 19,097,296 9,548,648 4,774,324 2,387,162 1,193,581 3,580,744 1,790,372 895,186 447,593 1,342,780 671,390 335,695 1,007,086 503,543 1,510,630 755,315 2,265,946 1,132,973 3,398,920 1,699,460 849,730 424,865 1,274,596 637,298 318,649

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