λ
Modular Archive

5,496,232

23 × 73 × 2003
Abundant Even Composite

The decimal integer 5,496,232 is 10100111101110110101000 in binary (23 bits), 24756650 in octal and 53DDA8 in hexadecimal. Its digit sum is 31.

Prime Factor Structure

Factorization String 2^3 × 7^3 × 2003
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,024,000
Proper Divisor Sum 6,527,768
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5496223 ← → #5496247

Radix Representation

Decimal 5496232
Binary 10100111101110110101000 (23 bits)
Octal 0o24756650
Hexadecimal 0x53DDA8

Divisor Catalog (32)

1 2 4 7 8 14 28 49 56 98 196 343 392 686 1,372 2,003 2,744 4,006 8,012 14,021 16,024 28,042 56,084 98,147 112,168 196,294 392,588 687,029 785,176 1,374,058 2,748,116 5,496,232

Collatz Trajectory (95 steps to reach 1)

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

5,496,232 2,748,116 1,374,058 687,029 2,061,088 1,030,544 515,272 257,636 128,818 64,409 193,228 96,614 48,307 144,922 72,461 217,384 108,692 54,346 27,173 81,520 40,760 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830

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