λ
Sigma Notebook

8,703,696

24 × 3 × 179 × 1013
Abundant Even Composite

8,703,696 is even and not a perfect square. Its factorization is 2^4 × 3 × 179 × 1013 and its 40 divisors sum to 22,632,480.

Prime Factor Structure

Factorization String 2^4 × 3 × 179 × 1013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,632,480
Proper Divisor Sum 13,928,784
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8703661 ← → #8703719

Radix Representation

Decimal 8703696
Binary 100001001100111011010000 (24 bits)
Octal 0o41147320
Hexadecimal 0x84CED0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 179 358 537 716 1,013 1,074 1,432 2,026 2,148 2,864 3,039 4,052 4,296 6,078 8,104 8,592 12,156 16,208 24,312 48,624 181,327 362,654 543,981 725,308 1,087,962 1,450,616 2,175,924 2,901,232 4,351,848 8,703,696

Collatz Trajectory (93 steps to reach 1)

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

8,703,696 4,351,848 2,175,924 1,087,962 543,981 1,631,944 815,972 407,986 203,993 611,980 305,990 152,995 458,986 229,493 688,480 344,240 172,120 86,060 43,030 21,515 64,546 32,273 96,820 48,410 24,205 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232

More profiles

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