λ
Harmonic Matrix

4,217,118

2 × 3 × 702853
Abundant Even Composite

4,217,118 has digital root 6. The neighboring primes are 4217117 and 4217131; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 702853
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,434,248
Proper Divisor Sum 4,217,130
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4217117 ← → #4217131

Radix Representation

Decimal 4217118
Binary 10000000101100100011110 (23 bits)
Octal 0o20054436
Hexadecimal 0x40591E

Divisor Catalog (8)

1 2 3 6 702,853 1,405,706 2,108,559 4,217,118

Collatz Trajectory (154 steps to reach 1)

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

4,217,118 2,108,559 6,325,678 3,162,839 9,488,518 4,744,259 14,232,778 7,116,389 21,349,168 10,674,584 5,337,292 2,668,646 1,334,323 4,002,970 2,001,485 6,004,456 3,002,228 1,501,114 750,557 2,251,672 1,125,836 562,918 281,459 844,378 422,189 1,266,568 633,284 316,642 158,321 474,964 237,482 118,741 356,224 178,112 89,056 44,528 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462

More profiles

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