λ
Sigma Notebook

7,716,207

3 × 1279 × 2011
Deficient Odd Composite

7,716,207 is odd and not a perfect square. Its factorization is 3 × 1279 × 2011 and its 8 divisors sum to 10,301,440.

Prime Factor Structure

Factorization String 3 × 1279 × 2011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,301,440
Proper Divisor Sum 2,585,233
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7716199 ← → #7716229

Radix Representation

Decimal 7716207
Binary 11101011011110101101111 (23 bits)
Octal 0o35336557
Hexadecimal 0x75BD6F

Divisor Catalog (8)

1 3 1,279 2,011 3,837 6,033 2,572,069 7,716,207

Collatz Trajectory (173 steps to reach 1)

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

7,716,207 23,148,622 11,574,311 34,722,934 17,361,467 52,084,402 26,042,201 78,126,604 39,063,302 19,531,651 58,594,954 29,297,477 87,892,432 43,946,216 21,973,108 10,986,554 5,493,277 16,479,832 8,239,916 4,119,958 2,059,979 6,179,938 3,089,969 9,269,908 4,634,954 2,317,477 6,952,432 3,476,216 1,738,108 869,054 434,527 1,303,582 651,791 1,955,374 977,687 2,933,062 1,466,531 4,399,594 2,199,797 6,599,392 3,299,696 1,649,848 824,924 412,462 206,231 618,694 309,347 928,042 464,021 1,392,064 696,032 348,016 174,008 87,004 43,502 21,751 65,254 32,627 97,882 48,941

More profiles

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