λ
Prime Ledger

5,778,578

2 × 13 × 59 × 3767
Deficient Even Composite

5,778,578 has the prime decomposition 2 × 13 × 59 × 3767. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 59 × 3767
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,495,360
Proper Divisor Sum 3,716,782
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #5778571 ← → #5778611

Radix Representation

Decimal 5778578
Binary 10110000010110010010010 (23 bits)
Octal 0o26026222
Hexadecimal 0x582C92

Divisor Catalog (16)

1 2 13 26 59 118 767 1,534 3,767 7,534 48,971 97,942 222,253 444,506 2,889,289 5,778,578

Collatz Trajectory (276 steps to reach 1)

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

5,778,578 2,889,289 8,667,868 4,333,934 2,166,967 6,500,902 3,250,451 9,751,354 4,875,677 14,627,032 7,313,516 3,656,758 1,828,379 5,485,138 2,742,569 8,227,708 4,113,854 2,056,927 6,170,782 3,085,391 9,256,174 4,628,087 13,884,262 6,942,131 20,826,394 10,413,197 31,239,592 15,619,796 7,809,898 3,904,949 11,714,848 5,857,424 2,928,712 1,464,356 732,178 366,089 1,098,268 549,134 274,567 823,702 411,851 1,235,554 617,777 1,853,332 926,666 463,333 1,390,000 695,000 347,500 173,750 86,875 260,626 130,313 390,940 195,470 97,735 293,206 146,603 439,810 219,905

More profiles

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