λ
Modular Archive

471,588

22 × 3 × 13 × 3023
Abundant Even Composite

The decimal integer 471,588 is 1110011001000100100 in binary (19 bits), 1631044 in octal and 73224 in hexadecimal. Its digit sum is 33.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 3023
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,185,408
Proper Divisor Sum 713,820
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #471571 ← → #471589

Radix Representation

Decimal 471588
Binary 1110011001000100100 (19 bits)
Octal 0o1631044
Hexadecimal 0x73224

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 3,023 6,046 9,069 12,092 18,138 36,276 39,299 78,598 117,897 157,196 235,794 471,588

Collatz Trajectory (107 steps to reach 1)

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

471,588 235,794 117,897 353,692 176,846 88,423 265,270 132,635 397,906 198,953 596,860 298,430 149,215 447,646 223,823 671,470 335,735 1,007,206 503,603 1,510,810 755,405 2,266,216 1,133,108 566,554 283,277 849,832 424,916 212,458 106,229 318,688 159,344 79,672 39,836 19,918 9,959 29,878 14,939 44,818 22,409 67,228 33,614 16,807 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950

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