λ
Prime Ledger

3,778,952

23 × 472369
Deficient Even Composite

3,778,952 has the prime decomposition 2^3 × 472369. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 472369
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,085,550
Proper Divisor Sum 3,306,598
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3778949 ← → #3778963

Radix Representation

Decimal 3778952
Binary 1110011010100110001000 (22 bits)
Octal 0o16324610
Hexadecimal 0x39A988

Divisor Catalog (8)

1 2 4 8 472,369 944,738 1,889,476 3,778,952

Collatz Trajectory (247 steps to reach 1)

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

3,778,952 1,889,476 944,738 472,369 1,417,108 708,554 354,277 1,062,832 531,416 265,708 132,854 66,427 199,282 99,641 298,924 149,462 74,731 224,194 112,097 336,292 168,146 84,073 252,220 126,110 63,055 189,166 94,583 283,750 141,875 425,626 212,813 638,440 319,220 159,610 79,805 239,416 119,708 59,854 29,927 89,782 44,891 134,674 67,337 202,012 101,006 50,503 151,510 75,755 227,266 113,633 340,900 170,450 85,225 255,676 127,838 63,919 191,758 95,879 287,638 143,819

More profiles

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