λ
Harmonic Matrix

6,348,682

2 × 37 × 85793
Deficient Even Composite

6,348,682 has digital root 1. The neighboring primes are 6348673 and 6348689; its proper-divisor sum differs from the starting integer by -2,916,848.

Prime Factor Structure

Factorization String 2 × 37 × 85793
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,780,516
Proper Divisor Sum 3,431,834
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6348673 ← → #6348689

Radix Representation

Decimal 6348682
Binary 11000001101111110001010 (23 bits)
Octal 0o30157612
Hexadecimal 0x60DF8A

Divisor Catalog (8)

1 2 37 74 85,793 171,586 3,174,341 6,348,682

Collatz Trajectory (271 steps to reach 1)

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

6,348,682 3,174,341 9,523,024 4,761,512 2,380,756 1,190,378 595,189 1,785,568 892,784 446,392 223,196 111,598 55,799 167,398 83,699 251,098 125,549 376,648 188,324 94,162 47,081 141,244 70,622 35,311 105,934 52,967 158,902 79,451 238,354 119,177 357,532 178,766 89,383 268,150 134,075 402,226 201,113 603,340 301,670 150,835 452,506 226,253 678,760 339,380 169,690 84,845 254,536 127,268 63,634 31,817 95,452 47,726 23,863 71,590 35,795 107,386 53,693 161,080 80,540 40,270

More profiles

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