λ
Harmonic Matrix

5,978,215

5 × 653 × 1831
Deficient Odd Composite

5,978,215 has digital root 1. The neighboring primes are 5978213 and 5978221; its proper-divisor sum differs from the starting integer by -4,767,662.

Prime Factor Structure

Factorization String 5 × 653 × 1831
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,188,768
Proper Divisor Sum 1,210,553
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5978213 ← → #5978221

Radix Representation

Decimal 5978215
Binary 10110110011100001100111 (23 bits)
Octal 0o26634147
Hexadecimal 0x5B3867

Divisor Catalog (8)

1 5 653 1,831 3,265 9,155 1,195,643 5,978,215

Collatz Trajectory (214 steps to reach 1)

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

5,978,215 17,934,646 8,967,323 26,901,970 13,450,985 40,352,956 20,176,478 10,088,239 30,264,718 15,132,359 45,397,078 22,698,539 68,095,618 34,047,809 102,143,428 51,071,714 25,535,857 76,607,572 38,303,786 19,151,893 57,455,680 28,727,840 14,363,920 7,181,960 3,590,980 1,795,490 897,745 2,693,236 1,346,618 673,309 2,019,928 1,009,964 504,982 252,491 757,474 378,737 1,136,212 568,106 284,053 852,160 426,080 213,040 106,520 53,260 26,630 13,315 39,946 19,973 59,920 29,960 14,980 7,490 3,745 11,236 5,618 2,809 8,428 4,214 2,107 6,322

More profiles

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