λ
Sigma Notebook

4,413,195

32 × 5 × 101 × 971
Deficient Odd Composite

4,413,195 is odd and not a perfect square. Its factorization is 3^2 × 5 × 101 × 971 and its 24 divisors sum to 7,733,232.

Prime Factor Structure

Factorization String 3^2 × 5 × 101 × 971
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,733,232
Proper Divisor Sum 3,320,037
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4413179 ← → #4413197

Radix Representation

Decimal 4413195
Binary 10000110101011100001011 (23 bits)
Octal 0o20653413
Hexadecimal 0x43570B

Divisor Catalog (24)

1 3 5 9 15 45 101 303 505 909 971 1,515 2,913 4,545 4,855 8,739 14,565 43,695 98,071 294,213 490,355 882,639 1,471,065 4,413,195

Collatz Trajectory (180 steps to reach 1)

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

4,413,195 13,239,586 6,619,793 19,859,380 9,929,690 4,964,845 14,894,536 7,447,268 3,723,634 1,861,817 5,585,452 2,792,726 1,396,363 4,189,090 2,094,545 6,283,636 3,141,818 1,570,909 4,712,728 2,356,364 1,178,182 589,091 1,767,274 883,637 2,650,912 1,325,456 662,728 331,364 165,682 82,841 248,524 124,262 62,131 186,394 93,197 279,592 139,796 69,898 34,949 104,848 52,424 26,212 13,106 6,553 19,660 9,830 4,915 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778

More profiles

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