λ
Sigma Notebook

2,416,125

3 × 53 × 17 × 379
Deficient Odd Composite

2,416,125 is odd and not a perfect square. Its factorization is 3 × 5^3 × 17 × 379 and its 32 divisors sum to 4,268,160.

Prime Factor Structure

Factorization String 3 × 5^3 × 17 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,268,160
Proper Divisor Sum 1,852,035
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2416123 ← → #2416133

Radix Representation

Decimal 2416125
Binary 1001001101110111111101 (22 bits)
Octal 0o11156775
Hexadecimal 0x24DDFD

Divisor Catalog (32)

1 3 5 15 17 25 51 75 85 125 255 375 379 425 1,137 1,275 1,895 2,125 5,685 6,375 6,443 9,475 19,329 28,425 32,215 47,375 96,645 142,125 161,075 483,225 805,375 2,416,125

Collatz Trajectory (161 steps to reach 1)

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

2,416,125 7,248,376 3,624,188 1,812,094 906,047 2,718,142 1,359,071 4,077,214 2,038,607 6,115,822 3,057,911 9,173,734 4,586,867 13,760,602 6,880,301 20,640,904 10,320,452 5,160,226 2,580,113 7,740,340 3,870,170 1,935,085 5,805,256 2,902,628 1,451,314 725,657 2,176,972 1,088,486 544,243 1,632,730 816,365 2,449,096 1,224,548 612,274 306,137 918,412 459,206 229,603 688,810 344,405 1,033,216 516,608 258,304 129,152 64,576 32,288 16,144 8,072 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71

More profiles

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