56,264

2³ × 13 × 541

The decimal integer 56,264 is 1101101111001000 in binary (16 bits), 155710 in octal and DBC8 in hexadecimal. Its digit sum is 23.

Prime Factor Structure

Factorization String 2^3 × 13 × 541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 113,820

Proper Divisor Sum 57,556

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #56263 ← → #56267

Radix Representation

Decimal	56264
Binary	1101101111001000 (16 bits)
Octal	0o155710
Hexadecimal	0xDBC8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 541 1,082 2,164 4,328 7,033 14,066 28,132 56,264

Collatz Trajectory (109 steps to reach 1)

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

56,264 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 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 2,158

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