λ
Sigma Notebook

8,036,535

3 × 5 × 13 × 41213
Deficient Odd Composite

8,036,535 is odd and not a perfect square. Its factorization is 3 × 5 × 13 × 41213 and its 16 divisors sum to 13,847,904.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 41213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,847,904
Proper Divisor Sum 5,811,369
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8036531 ← → #8036537

Radix Representation

Decimal 8036535
Binary 11110101010000010110111 (23 bits)
Octal 0o36520267
Hexadecimal 0x7AA0B7

Divisor Catalog (16)

1 3 5 13 15 39 65 195 41,213 123,639 206,065 535,769 618,195 1,607,307 2,678,845 8,036,535

Collatz Trajectory (261 steps to reach 1)

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

8,036,535 24,109,606 12,054,803 36,164,410 18,082,205 54,246,616 27,123,308 13,561,654 6,780,827 20,342,482 10,171,241 30,513,724 15,256,862 7,628,431 22,885,294 11,442,647 34,327,942 17,163,971 51,491,914 25,745,957 77,237,872 38,618,936 19,309,468 9,654,734 4,827,367 14,482,102 7,241,051 21,723,154 10,861,577 32,584,732 16,292,366 8,146,183 24,438,550 12,219,275 36,657,826 18,328,913 54,986,740 27,493,370 13,746,685 41,240,056 20,620,028 10,310,014 5,155,007 15,465,022 7,732,511 23,197,534 11,598,767 34,796,302 17,398,151 52,194,454 26,097,227 78,291,682 39,145,841 117,437,524 58,718,762 29,359,381 88,078,144 44,039,072 22,019,536 11,009,768

More profiles

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