λ
Ratio Atlas

6,722,715

3 × 5 × 37 × 12113
Deficient Odd Composite

6,722,715 factors as 3 × 5 × 37 × 12113. Its 16 positive divisors give a proper-divisor sum of 4,325,253, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 12113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,047,968
Proper Divisor Sum 4,325,253
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6722689 ← → #6722717

Radix Representation

Decimal 6722715
Binary 11001101001010010011011 (23 bits)
Octal 0o31512233
Hexadecimal 0x66949B

Divisor Catalog (16)

1 3 5 15 37 111 185 555 12,113 36,339 60,565 181,695 448,181 1,344,543 2,240,905 6,722,715

Collatz Trajectory (284 steps to reach 1)

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

6,722,715 20,168,146 10,084,073 30,252,220 15,126,110 7,563,055 22,689,166 11,344,583 34,033,750 17,016,875 51,050,626 25,525,313 76,575,940 38,287,970 19,143,985 57,431,956 28,715,978 14,357,989 43,073,968 21,536,984 10,768,492 5,384,246 2,692,123 8,076,370 4,038,185 12,114,556 6,057,278 3,028,639 9,085,918 4,542,959 13,628,878 6,814,439 20,443,318 10,221,659 30,664,978 15,332,489 45,997,468 22,998,734 11,499,367 34,498,102 17,249,051 51,747,154 25,873,577 77,620,732 38,810,366 19,405,183 58,215,550 29,107,775 87,323,326 43,661,663 130,984,990 65,492,495 196,477,486 98,238,743 294,716,230 147,358,115 442,074,346 221,037,173 663,111,520 331,555,760

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