λ
Harmonic Matrix

3,619,978

2 × 569 × 3181
Deficient Even Composite

3,619,978 has digital root 7. The neighboring primes are 3619961 and 3619981; its proper-divisor sum differs from the starting integer by -1,798,736.

Prime Factor Structure

Factorization String 2 × 569 × 3181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,441,220
Proper Divisor Sum 1,821,242
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3619961 ← → #3619981

Radix Representation

Decimal 3619978
Binary 1101110011110010001010 (22 bits)
Octal 0o15636212
Hexadecimal 0x373C8A

Divisor Catalog (8)

1 2 569 1,138 3,181 6,362 1,809,989 3,619,978

Collatz Trajectory (115 steps to reach 1)

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

3,619,978 1,809,989 5,429,968 2,714,984 1,357,492 678,746 339,373 1,018,120 509,060 254,530 127,265 381,796 190,898 95,449 286,348 143,174 71,587 214,762 107,381 322,144 161,072 80,536 40,268 20,134 10,067 30,202 15,101 45,304 22,652 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638

More profiles

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