5,330,100

2² × 3 × 5² × 109 × 163

5,330,100 factors as 2^2 × 3 × 5^2 × 109 × 163. Its 72 positive divisors give a proper-divisor sum of 10,328,620, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 109 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,658,720

Proper Divisor Sum 10,328,620

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #5330069 ← → #5330107

Radix Representation

Decimal	5330100
Binary	10100010101010010110100 (23 bits)
Octal	0o24252264
Hexadecimal	0x5154B4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 163 218 300 326 327 436 489 545 652 654 815 978 1,090 1,308 1,630 1,635 1,956 2,180 2,445 2,725 3,260 3,270 4,075 4,890 5,450 6,540 8,150 8,175 9,780 10,900 12,225 16,300 16,350 17,767 24,450 32,700 35,534 48,900 53,301 71,068 88,835 106,602

Collatz Trajectory (95 steps to reach 1)

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

5,330,100 2,665,050 1,332,525 3,997,576 1,998,788 999,394 499,697 1,499,092 749,546 374,773 1,124,320 562,160 281,080 140,540 70,270 35,135 105,406 52,703 158,110 79,055 237,166 118,583 355,750 177,875 533,626 266,813 800,440 400,220 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157

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