λ
Sigma Notebook

3,449,535

3 × 5 × 41 × 71 × 79
Deficient Odd Composite

3,449,535 is odd and not a perfect square. Its factorization is 3 × 5 × 41 × 71 × 79 and its 32 divisors sum to 5,806,080.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 71 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,806,080
Proper Divisor Sum 2,356,545
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3449531 ← → #3449539

Radix Representation

Decimal 3449535
Binary 1101001010001010111111 (22 bits)
Octal 0o15121277
Hexadecimal 0x34A2BF

Divisor Catalog (32)

1 3 5 15 41 71 79 123 205 213 237 355 395 615 1,065 1,185 2,911 3,239 5,609 8,733 9,717 14,555 16,195 16,827 28,045 43,665 48,585 84,135 229,969 689,907 1,149,845 3,449,535

Collatz Trajectory (319 steps to reach 1)

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

3,449,535 10,348,606 5,174,303 15,522,910 7,761,455 23,284,366 11,642,183 34,926,550 17,463,275 52,389,826 26,194,913 78,584,740 39,292,370 19,646,185 58,938,556 29,469,278 14,734,639 44,203,918 22,101,959 66,305,878 33,152,939 99,458,818 49,729,409 149,188,228 74,594,114 37,297,057 111,891,172 55,945,586 27,972,793 83,918,380 41,959,190 20,979,595 62,938,786 31,469,393 94,408,180 47,204,090 23,602,045 70,806,136 35,403,068 17,701,534 8,850,767 26,552,302 13,276,151 39,828,454 19,914,227 59,742,682 29,871,341 89,614,024 44,807,012 22,403,506 11,201,753 33,605,260 16,802,630 8,401,315 25,203,946 12,601,973 37,805,920 18,902,960 9,451,480 4,725,740

More profiles

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