λ
Prime Ledger

6,206,688

25 × 32 × 23 × 937
Abundant Even Composite

6,206,688 has the prime decomposition 2^5 × 3^2 × 23 × 937. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 23 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 18,437,328
Proper Divisor Sum 12,230,640
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6206653 ← → #6206693

Radix Representation

Decimal 6206688
Binary 10111101011010011100000 (23 bits)
Octal 0o27532340
Hexadecimal 0x5EB4E0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 937 1,104 1,656 1,874 2,208 2,811 3,312 3,748 5,622 6,624 7,496 8,433 11,244 14,992 16,866 21,551 22,488 29,984 33,732 43,102 44,976 64,653 67,464 86,204 89,952 129,306 134,928 172,408 193,959

Collatz Trajectory (152 steps to reach 1)

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

6,206,688 3,103,344 1,551,672 775,836 387,918 193,959 581,878 290,939 872,818 436,409 1,309,228 654,614 327,307 981,922 490,961 1,472,884 736,442 368,221 1,104,664 552,332 276,166 138,083 414,250 207,125 621,376 310,688 155,344 77,672 38,836 19,418 9,709 29,128 14,564 7,282 3,641 10,924 5,462 2,731 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096

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