4,063,784

2³ × 37 × 13729

For 4,063,784, the 16 positive divisors have a total of 7,826,100. Removing 4,063,784 leaves 3,762,316, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 37 × 13729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,826,100

Proper Divisor Sum 3,762,316

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4063781 ← → #4063793

Radix Representation

Decimal	4063784
Binary	1111100000001000101000 (22 bits)
Octal	0o17401050
Hexadecimal	0x3E0228

Divisor Catalog (16)

1 2 4 8 37 74 148 296 13,729 27,458 54,916 109,832 507,973 1,015,946 2,031,892 4,063,784

Collatz Trajectory (110 steps to reach 1)

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

4,063,784 2,031,892 1,015,946 507,973 1,523,920 761,960 380,980 190,490 95,245 285,736 142,868 71,434 35,717 107,152 53,576 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719

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