λ
Sigma Notebook

6,957,112

23 × 271 × 3209
Deficient Even Composite

6,957,112 is even and not a perfect square. Its factorization is 2^3 × 271 × 3209 and its 16 divisors sum to 13,096,800.

Prime Factor Structure

Factorization String 2^3 × 271 × 3209
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,096,800
Proper Divisor Sum 6,139,688
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6957107 ← → #6957121

Radix Representation

Decimal 6957112
Binary 11010100010100000111000 (23 bits)
Octal 0o32424070
Hexadecimal 0x6A2838

Divisor Catalog (16)

1 2 4 8 271 542 1,084 2,168 3,209 6,418 12,836 25,672 869,639 1,739,278 3,478,556 6,957,112

Collatz Trajectory (160 steps to reach 1)

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

6,957,112 3,478,556 1,739,278 869,639 2,608,918 1,304,459 3,913,378 1,956,689 5,870,068 2,935,034 1,467,517 4,402,552 2,201,276 1,100,638 550,319 1,650,958 825,479 2,476,438 1,238,219 3,714,658 1,857,329 5,571,988 2,785,994 1,392,997 4,178,992 2,089,496 1,044,748 522,374 261,187 783,562 391,781 1,175,344 587,672 293,836 146,918 73,459 220,378 110,189 330,568 165,284 82,642 41,321 123,964 61,982 30,991 92,974 46,487 139,462 69,731 209,194 104,597 313,792 156,896 78,448 39,224 19,612 9,806 4,903 14,710 7,355

More profiles

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