λ
Integer Codex

3,073,020

22 × 3 × 5 × 51217
Abundant Even Composite

For 3,073,020, the 24 positive divisors have a total of 8,604,624. Removing 3,073,020 leaves 5,531,604, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 51217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,604,624
Proper Divisor Sum 5,531,604
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3073013 ← → #3073027

Radix Representation

Decimal 3073020
Binary 1011101110001111111100 (22 bits)
Octal 0o13561774
Hexadecimal 0x2EE3FC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 51,217 102,434 153,651 204,868 256,085 307,302 512,170 614,604 768,255 1,024,340 1,536,510 3,073,020

Collatz Trajectory (257 steps to reach 1)

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

3,073,020 1,536,510 768,255 2,304,766 1,152,383 3,457,150 1,728,575 5,185,726 2,592,863 7,778,590 3,889,295 11,667,886 5,833,943 17,501,830 8,750,915 26,252,746 13,126,373 39,379,120 19,689,560 9,844,780 4,922,390 2,461,195 7,383,586 3,691,793 11,075,380 5,537,690 2,768,845 8,306,536 4,153,268 2,076,634 1,038,317 3,114,952 1,557,476 778,738 389,369 1,168,108 584,054 292,027 876,082 438,041 1,314,124 657,062 328,531 985,594 492,797 1,478,392 739,196 369,598 184,799 554,398 277,199 831,598 415,799 1,247,398 623,699 1,871,098 935,549 2,806,648 1,403,324 701,662

More profiles

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