λ
Prime Ledger

3,076,064

25 × 97 × 991
Deficient Even Composite

3,076,064 has the prime decomposition 2^5 × 97 × 991. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 97 × 991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,124,608
Proper Divisor Sum 3,048,544
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3076057 ← → #3076093

Radix Representation

Decimal 3076064
Binary 1011101110111111100000 (22 bits)
Octal 0o13567740
Hexadecimal 0x2EEFE0

Divisor Catalog (24)

1 2 4 8 16 32 97 194 388 776 991 1,552 1,982 3,104 3,964 7,928 15,856 31,712 96,127 192,254 384,508 769,016 1,538,032 3,076,064

Collatz Trajectory (102 steps to reach 1)

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

3,076,064 1,538,032 769,016 384,508 192,254 96,127 288,382 144,191 432,574 216,287 648,862 324,431 973,294 486,647 1,459,942 729,971 2,189,914 1,094,957 3,284,872 1,642,436 821,218 410,609 1,231,828 615,914 307,957 923,872 461,936 230,968 115,484 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542

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