λ
Prime Ledger

79,136

25 × 2473
Deficient Even Composite

79,136 has the prime decomposition 2^5 × 2473. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 2473
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 155,862
Proper Divisor Sum 76,726
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #79133 ← → #79139

Radix Representation

Decimal 79136
Binary 10011010100100000 (17 bits)
Octal 0o232440
Hexadecimal 0x13520

Divisor Catalog (12)

1 2 4 8 16 32 2,473 4,946 9,892 19,784 39,568 79,136

Collatz Trajectory (125 steps to reach 1)

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

79,136 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019

More profiles

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