λ
Integer Codex

9,182,742

2 × 3 × 1530457
Abundant Even Composite

For 9,182,742, the 8 positive divisors have a total of 18,365,496. Removing 9,182,742 leaves 9,182,754, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 1530457
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 18,365,496
Proper Divisor Sum 9,182,754
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9182741 ← → #9182777

Radix Representation

Decimal 9182742
Binary 100011000001111000010110 (24 bits)
Octal 0o43017026
Hexadecimal 0x8C1E16

Divisor Catalog (8)

1 2 3 6 1,530,457 3,060,914 4,591,371 9,182,742

Collatz Trajectory (194 steps to reach 1)

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

9,182,742 4,591,371 13,774,114 6,887,057 20,661,172 10,330,586 5,165,293 15,495,880 7,747,940 3,873,970 1,936,985 5,810,956 2,905,478 1,452,739 4,358,218 2,179,109 6,537,328 3,268,664 1,634,332 817,166 408,583 1,225,750 612,875 1,838,626 919,313 2,757,940 1,378,970 689,485 2,068,456 1,034,228 517,114 258,557 775,672 387,836 193,918 96,959 290,878 145,439 436,318 218,159 654,478 327,239 981,718 490,859 1,472,578 736,289 2,208,868 1,104,434 552,217 1,656,652 828,326 414,163 1,242,490 621,245 1,863,736 931,868 465,934 232,967 698,902 349,451

More profiles

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