λ
Harmonic Matrix

8,620,234

2 × 7 × 615731
Deficient Even Composite

8,620,234 has digital root 7. The neighboring primes are 8620231 and 8620259; its proper-divisor sum differs from the starting integer by -2,462,900.

Prime Factor Structure

Factorization String 2 × 7 × 615731
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,777,568
Proper Divisor Sum 6,157,334
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8620231 ← → #8620259

Radix Representation

Decimal 8620234
Binary 100000111000100011001010 (24 bits)
Octal 0o40704312
Hexadecimal 0x8388CA

Divisor Catalog (8)

1 2 7 14 615,731 1,231,462 4,310,117 8,620,234

Collatz Trajectory (168 steps to reach 1)

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

8,620,234 4,310,117 12,930,352 6,465,176 3,232,588 1,616,294 808,147 2,424,442 1,212,221 3,636,664 1,818,332 909,166 454,583 1,363,750 681,875 2,045,626 1,022,813 3,068,440 1,534,220 767,110 383,555 1,150,666 575,333 1,726,000 863,000 431,500 215,750 107,875 323,626 161,813 485,440 242,720 121,360 60,680 30,340 15,170 7,585 22,756 11,378 5,689 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520

More profiles

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