λ
Sigma Notebook

7,611,628

22 × 19 × 100153
Deficient Even Composite

7,611,628 is even and not a perfect square. Its factorization is 2^2 × 19 × 100153 and its 12 divisors sum to 14,021,560.

Prime Factor Structure

Factorization String 2^2 × 19 × 100153
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,021,560
Proper Divisor Sum 6,409,932
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7611613 ← → #7611661

Radix Representation

Decimal 7611628
Binary 11101000010010011101100 (23 bits)
Octal 0o35022354
Hexadecimal 0x7424EC

Divisor Catalog (12)

1 2 4 19 38 76 100,153 200,306 400,612 1,902,907 3,805,814 7,611,628

Collatz Trajectory (103 steps to reach 1)

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

7,611,628 3,805,814 1,902,907 5,708,722 2,854,361 8,563,084 4,281,542 2,140,771 6,422,314 3,211,157 9,633,472 4,816,736 2,408,368 1,204,184 602,092 301,046 150,523 451,570 225,785 677,356 338,678 169,339 508,018 254,009 762,028 381,014 190,507 571,522 285,761 857,284 428,642 214,321 642,964 321,482 160,741 482,224 241,112 120,556 60,278 30,139 90,418 45,209 135,628 67,814 33,907 101,722 50,861 152,584 76,292 38,146 19,073 57,220 28,610 14,305 42,916 21,458 10,729 32,188 16,094 8,047

More profiles

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