λ
Harmonic Matrix

8,678,242

2 × 67 × 64763
Deficient Even Composite

8,678,242 has digital root 1. The neighboring primes are 8678237 and 8678311; its proper-divisor sum differs from the starting integer by -4,144,628.

Prime Factor Structure

Factorization String 2 × 67 × 64763
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,211,856
Proper Divisor Sum 4,533,614
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8678237 ← → #8678311

Radix Representation

Decimal 8678242
Binary 100001000110101101100010 (24 bits)
Octal 0o41065542
Hexadecimal 0x846B62

Divisor Catalog (8)

1 2 67 134 64,763 129,526 4,339,121 8,678,242

Collatz Trajectory (67 steps to reach 1)

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

8,678,242 4,339,121 13,017,364 6,508,682 3,254,341 9,763,024 4,881,512 2,440,756 1,220,378 610,189 1,830,568 915,284 457,642 228,821 686,464 343,232 171,616 85,808 42,904 21,452 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256

More profiles

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