λ
Sigma Notebook

8,136,596

22 × 13 × 37 × 4229
Deficient Even Composite

8,136,596 is even and not a perfect square. Its factorization is 2^2 × 13 × 37 × 4229 and its 24 divisors sum to 15,752,520.

Prime Factor Structure

Factorization String 2^2 × 13 × 37 × 4229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,752,520
Proper Divisor Sum 7,615,924
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8136577 ← → #8136629

Radix Representation

Decimal 8136596
Binary 11111000010011110010100 (23 bits)
Octal 0o37023624
Hexadecimal 0x7C2794

Divisor Catalog (24)

1 2 4 13 26 37 52 74 148 481 962 1,924 4,229 8,458 16,916 54,977 109,954 156,473 219,908 312,946 625,892 2,034,149 4,068,298 8,136,596

Collatz Trajectory (137 steps to reach 1)

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

8,136,596 4,068,298 2,034,149 6,102,448 3,051,224 1,525,612 762,806 381,403 1,144,210 572,105 1,716,316 858,158 429,079 1,287,238 643,619 1,930,858 965,429 2,896,288 1,448,144 724,072 362,036 181,018 90,509 271,528 135,764 67,882 33,941 101,824 50,912 25,456 12,728 6,364 3,182 1,591 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612

More profiles

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