452,640

2⁵ × 3 × 5 × 23 × 41

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 23 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,524,096

Proper Divisor Sum 1,071,456

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #452633 ← → #452671

Radix Representation

Decimal	452640
Binary	1101110100000100000 (19 bits)
Octal	0o1564040
Hexadecimal	0x6E820

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 41 46 48 60 69 80 82 92 96 115 120 123 138 160 164 184 205 230 240 246 276 328 345 368 410 460 480 492 552 615 656 690 736 820 920 943 984 1,104 1,230 1,312 1,380 1,640 1,840

Collatz Trajectory (37 steps to reach 1)

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

452,640 226,320 113,160 56,580 28,290 14,145 42,436 21,218 10,609 31,828 15,914 7,957 23,872 11,936 5,968 2,984 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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