λ
Sigma Notebook

8,124,248

23 × 11 × 19 × 43 × 113
Abundant Even Composite

8,124,248 is even and not a perfect square. Its factorization is 2^3 × 11 × 19 × 43 × 113 and its 64 divisors sum to 18,057,600.

Prime Factor Structure

Factorization String 2^3 × 11 × 19 × 43 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,057,600
Proper Divisor Sum 9,933,352
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8124247 ← → #8124251

Radix Representation

Decimal 8124248
Binary 11110111111011101011000 (23 bits)
Octal 0o36773530
Hexadecimal 0x7BF758

Divisor Catalog (60 of 64)

1 2 4 8 11 19 22 38 43 44 76 86 88 113 152 172 209 226 344 418 452 473 817 836 904 946 1,243 1,634 1,672 1,892 2,147 2,486 3,268 3,784 4,294 4,859 4,972 6,536 8,588 8,987 9,718 9,944 17,176 17,974 19,436 23,617 35,948 38,872 47,234 53,449 71,896 92,321 94,468 106,898 184,642 188,936 213,796 369,284 427,592 738,568

Collatz Trajectory (186 steps to reach 1)

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

8,124,248 4,062,124 2,031,062 1,015,531 3,046,594 1,523,297 4,569,892 2,284,946 1,142,473 3,427,420 1,713,710 856,855 2,570,566 1,285,283 3,855,850 1,927,925 5,783,776 2,891,888 1,445,944 722,972 361,486 180,743 542,230 271,115 813,346 406,673 1,220,020 610,010 305,005 915,016 457,508 228,754 114,377 343,132 171,566 85,783 257,350 128,675 386,026 193,013 579,040 289,520 144,760 72,380 36,190 18,095 54,286 27,143 81,430 40,715 122,146 61,073 183,220 91,610 45,805 137,416 68,708 34,354 17,177 51,532

More profiles

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