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48,801,400

23 × 52 × 23 × 1032
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 23 × 103^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 119,557,080
Proper Divisor Sum 70,755,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #48801391 ← → #48801413

Radix Representation

Decimal 48801400
Binary 10111010001010011001111000 (26 bits)
Octal 0o272123170
Hexadecimal 0x2E8A678

Divisor Catalog (60 of 72)

1 2 4 5 8 10 20 23 25 40 46 50 92 100 103 115 184 200 206 230 412 460 515 575 824 920 1,030 1,150 2,060 2,300 2,369 2,575 4,120 4,600 4,738 5,150 9,476 10,300 10,609 11,845 18,952 20,600 21,218 23,690 42,436 47,380 53,045 59,225 84,872 94,760 106,090 118,450 212,180 236,900 244,007 265,225 424,360 473,800 488,014 530,450

Collatz Trajectory (111 steps to reach 1)

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

48,801,400 24,400,700 12,200,350 6,100,175 18,300,526 9,150,263 27,450,790 13,725,395 41,176,186 20,588,093 61,764,280 30,882,140 15,441,070 7,720,535 23,161,606 11,580,803 34,742,410 17,371,205 52,113,616 26,056,808 13,028,404 6,514,202 3,257,101 9,771,304 4,885,652 2,442,826 1,221,413 3,664,240 1,832,120 916,060 458,030 229,015 687,046 343,523 1,030,570 515,285 1,545,856 772,928 386,464 193,232 96,616 48,308 24,154 12,077 36,232 18,116 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239

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