λ
Harmonic Matrix

8,426,202

2 × 3 × 1404367
Abundant Even Composite

8,426,202 has digital root 6. The neighboring primes are 8426189 and 8426221; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1404367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,852,416
Proper Divisor Sum 8,426,214
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8426189 ← → #8426221

Radix Representation

Decimal 8426202
Binary 100000001001001011011010 (24 bits)
Octal 0o40111332
Hexadecimal 0x8092DA

Divisor Catalog (8)

1 2 3 6 1,404,367 2,808,734 4,213,101 8,426,202

Collatz Trajectory (129 steps to reach 1)

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

8,426,202 4,213,101 12,639,304 6,319,652 3,159,826 1,579,913 4,739,740 2,369,870 1,184,935 3,554,806 1,777,403 5,332,210 2,666,105 7,998,316 3,999,158 1,999,579 5,998,738 2,999,369 8,998,108 4,499,054 2,249,527 6,748,582 3,374,291 10,122,874 5,061,437 15,184,312 7,592,156 3,796,078 1,898,039 5,694,118 2,847,059 8,541,178 4,270,589 12,811,768 6,405,884 3,202,942 1,601,471 4,804,414 2,402,207 7,206,622 3,603,311 10,809,934 5,404,967 16,214,902 8,107,451 24,322,354 12,161,177 36,483,532 18,241,766 9,120,883 27,362,650 13,681,325 41,043,976 20,521,988 10,260,994 5,130,497 15,391,492 7,695,746 3,847,873 11,543,620

More profiles

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