λ
Sigma Notebook

8,074,563

3 × 74 × 19 × 59
Deficient Odd Composite

8,074,563 is odd and not a perfect square. Its factorization is 3 × 7^4 × 19 × 59 and its 40 divisors sum to 13,444,800.

Prime Factor Structure

Factorization String 3 × 7^4 × 19 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,444,800
Proper Divisor Sum 5,370,237
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8074559 ← → #8074567

Radix Representation

Decimal 8074563
Binary 11110110011010101000011 (23 bits)
Octal 0o36632503
Hexadecimal 0x7B3543

Divisor Catalog (40)

1 3 7 19 21 49 57 59 133 147 177 343 399 413 931 1,029 1,121 1,239 2,401 2,793 2,891 3,363 6,517 7,203 7,847 8,673 19,551 20,237 23,541 45,619 54,929 60,711 136,857 141,659 164,787 384,503 424,977 1,153,509 2,691,521 8,074,563

Collatz Trajectory (230 steps to reach 1)

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

8,074,563 24,223,690 12,111,845 36,335,536 18,167,768 9,083,884 4,541,942 2,270,971 6,812,914 3,406,457 10,219,372 5,109,686 2,554,843 7,664,530 3,832,265 11,496,796 5,748,398 2,874,199 8,622,598 4,311,299 12,933,898 6,466,949 19,400,848 9,700,424 4,850,212 2,425,106 1,212,553 3,637,660 1,818,830 909,415 2,728,246 1,364,123 4,092,370 2,046,185 6,138,556 3,069,278 1,534,639 4,603,918 2,301,959 6,905,878 3,452,939 10,358,818 5,179,409 15,538,228 7,769,114 3,884,557 11,653,672 5,826,836 2,913,418 1,456,709 4,370,128 2,185,064 1,092,532 546,266 273,133 819,400 409,700 204,850 102,425 307,276

More profiles

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