λ
Harmonic Matrix

6,978,754

2 × 107 × 32611
Deficient Even Composite

6,978,754 has digital root 1. The neighboring primes are 6978749 and 6978761; its proper-divisor sum differs from the starting integer by -3,391,220.

Prime Factor Structure

Factorization String 2 × 107 × 32611
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,566,288
Proper Divisor Sum 3,587,534
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #6978749 ← → #6978761

Radix Representation

Decimal 6978754
Binary 11010100111110011000010 (23 bits)
Octal 0o32476302
Hexadecimal 0x6A7CC2

Divisor Catalog (8)

1 2 107 214 32,611 65,222 3,489,377 6,978,754

Collatz Trajectory (191 steps to reach 1)

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

6,978,754 3,489,377 10,468,132 5,234,066 2,617,033 7,851,100 3,925,550 1,962,775 5,888,326 2,944,163 8,832,490 4,416,245 13,248,736 6,624,368 3,312,184 1,656,092 828,046 414,023 1,242,070 621,035 1,863,106 931,553 2,794,660 1,397,330 698,665 2,095,996 1,047,998 523,999 1,571,998 785,999 2,357,998 1,178,999 3,536,998 1,768,499 5,305,498 2,652,749 7,958,248 3,979,124 1,989,562 994,781 2,984,344 1,492,172 746,086 373,043 1,119,130 559,565 1,678,696 839,348 419,674 209,837 629,512 314,756 157,378 78,689 236,068 118,034 59,017 177,052 88,526 44,263

More profiles

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