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Modular Archive

345,480

23 × 3 × 5 × 2879
Abundant Even Composite

The decimal integer 345,480 is 1010100010110001000 in binary (19 bits), 1242610 in octal and 54588 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 2879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,036,800
Proper Divisor Sum 691,320
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #345479 ← → #345487

Radix Representation

Decimal 345480
Binary 1010100010110001000 (19 bits)
Octal 0o1242610
Hexadecimal 0x54588

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2,879 5,758 8,637 11,516 14,395 17,274 23,032 28,790 34,548 43,185 57,580 69,096 86,370 115,160 172,740 345,480

Collatz Trajectory (73 steps to reach 1)

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

345,480 172,740 86,370 43,185 129,556 64,778 32,389 97,168 48,584 24,292 12,146 6,073 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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