λ
Sigma Notebook

8,133,712

24 × 107 × 4751
Deficient Even Composite

8,133,712 is even and not a perfect square. Its factorization is 2^4 × 107 × 4751 and its 20 divisors sum to 15,909,696.

Prime Factor Structure

Factorization String 2^4 × 107 × 4751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,909,696
Proper Divisor Sum 7,775,984
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8133707 ← → #8133731

Radix Representation

Decimal 8133712
Binary 11111000001110001010000 (23 bits)
Octal 0o37016120
Hexadecimal 0x7C1C50

Divisor Catalog (20)

1 2 4 8 16 107 214 428 856 1,712 4,751 9,502 19,004 38,008 76,016 508,357 1,016,714 2,033,428 4,066,856 8,133,712

Collatz Trajectory (62 steps to reach 1)

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

8,133,712 4,066,856 2,033,428 1,016,714 508,357 1,525,072 762,536 381,268 190,634 95,317 285,952 142,976 71,488 35,744 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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