λ
Harmonic Matrix

4,180,078

2 × 7 × 127 × 2351
Deficient Even Composite

4,180,078 has digital root 1. The neighboring primes are 4180069 and 4180081; its proper-divisor sum differs from the starting integer by -1,134,812.

Prime Factor Structure

Factorization String 2 × 7 × 127 × 2351
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,225,344
Proper Divisor Sum 3,045,266
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4180069 ← → #4180081

Radix Representation

Decimal 4180078
Binary 1111111100100001101110 (22 bits)
Octal 0o17744156
Hexadecimal 0x3FC86E

Divisor Catalog (16)

1 2 7 14 127 254 889 1,778 2,351 4,702 16,457 32,914 298,577 597,154 2,090,039 4,180,078

Collatz Trajectory (159 steps to reach 1)

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

4,180,078 2,090,039 6,270,118 3,135,059 9,405,178 4,702,589 14,107,768 7,053,884 3,526,942 1,763,471 5,290,414 2,645,207 7,935,622 3,967,811 11,903,434 5,951,717 17,855,152 8,927,576 4,463,788 2,231,894 1,115,947 3,347,842 1,673,921 5,021,764 2,510,882 1,255,441 3,766,324 1,883,162 941,581 2,824,744 1,412,372 706,186 353,093 1,059,280 529,640 264,820 132,410 66,205 198,616 99,308 49,654 24,827 74,482 37,241 111,724 55,862 27,931 83,794 41,897 125,692 62,846 31,423 94,270 47,135 141,406 70,703 212,110 106,055 318,166 159,083

More profiles

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