λ
Sigma Notebook

3,736,380

22 × 3 × 5 × 62273
Abundant Even Composite

3,736,380 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 62273 and its 24 divisors sum to 10,462,032.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 62273
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,462,032
Proper Divisor Sum 6,725,652
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3736367 ← → #3736391

Radix Representation

Decimal 3736380
Binary 1110010000001100111100 (22 bits)
Octal 0o16201474
Hexadecimal 0x39033C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 62,273 124,546 186,819 249,092 311,365 373,638 622,730 747,276 934,095 1,245,460 1,868,190 3,736,380

Collatz Trajectory (278 steps to reach 1)

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

3,736,380 1,868,190 934,095 2,802,286 1,401,143 4,203,430 2,101,715 6,305,146 3,152,573 9,457,720 4,728,860 2,364,430 1,182,215 3,546,646 1,773,323 5,319,970 2,659,985 7,979,956 3,989,978 1,994,989 5,984,968 2,992,484 1,496,242 748,121 2,244,364 1,122,182 561,091 1,683,274 841,637 2,524,912 1,262,456 631,228 315,614 157,807 473,422 236,711 710,134 355,067 1,065,202 532,601 1,597,804 798,902 399,451 1,198,354 599,177 1,797,532 898,766 449,383 1,348,150 674,075 2,022,226 1,011,113 3,033,340 1,516,670 758,335 2,275,006 1,137,503 3,412,510 1,706,255 5,118,766

More profiles

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