λ
Harmonic Matrix

6,962,831

6962831
Deficient Odd Prime

6,962,831 has digital root 8. The neighboring primes are 6962821 and 6962833; its proper-divisor sum differs from the starting integer by -6,962,830.

Prime Factor Structure

Factorization String 6962831
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,962,832
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6962821 ← → #6962833

Radix Representation

Decimal 6962831
Binary 11010100011111010001111 (23 bits)
Octal 0o32437217
Hexadecimal 0x6A3E8F

Divisor Catalog (2)

1 6,962,831

Collatz Trajectory (191 steps to reach 1)

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

6,962,831 20,888,494 10,444,247 31,332,742 15,666,371 46,999,114 23,499,557 70,498,672 35,249,336 17,624,668 8,812,334 4,406,167 13,218,502 6,609,251 19,827,754 9,913,877 29,741,632 14,870,816 7,435,408 3,717,704 1,858,852 929,426 464,713 1,394,140 697,070 348,535 1,045,606 522,803 1,568,410 784,205 2,352,616 1,176,308 588,154 294,077 882,232 441,116 220,558 110,279 330,838 165,419 496,258 248,129 744,388 372,194 186,097 558,292 279,146 139,573 418,720 209,360 104,680 52,340 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361

More profiles

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