λ
Harmonic Matrix

6,984,159

3 × 7 × 13 × 25583
Deficient Odd Composite

6,984,159 has digital root 6. The neighboring primes are 6984151 and 6984163; its proper-divisor sum differs from the starting integer by -2,506,686.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 25583
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,461,632
Proper Divisor Sum 4,477,473
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6984151 ← → #6984163

Radix Representation

Decimal 6984159
Binary 11010101001000111011111 (23 bits)
Octal 0o32510737
Hexadecimal 0x6A91DF

Divisor Catalog (16)

1 3 7 13 21 39 91 273 25,583 76,749 179,081 332,579 537,243 997,737 2,328,053 6,984,159

Collatz Trajectory (129 steps to reach 1)

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

6,984,159 20,952,478 10,476,239 31,428,718 15,714,359 47,143,078 23,571,539 70,714,618 35,357,309 106,071,928 53,035,964 26,517,982 13,258,991 39,776,974 19,888,487 59,665,462 29,832,731 89,498,194 44,749,097 134,247,292 67,123,646 33,561,823 100,685,470 50,342,735 151,028,206 75,514,103 226,542,310 113,271,155 339,813,466 169,906,733 509,720,200 254,860,100 127,430,050 63,715,025 191,145,076 95,572,538 47,786,269 143,358,808 71,679,404 35,839,702 17,919,851 53,759,554 26,879,777 80,639,332 40,319,666 20,159,833 60,479,500 30,239,750 15,119,875 45,359,626 22,679,813 68,039,440 34,019,720 17,009,860 8,504,930 4,252,465 12,757,396 6,378,698 3,189,349 9,568,048

More profiles

← Previous Integer #6,984,158 Browse Full Index Next Integer #6,984,160 →