13,002,000

2⁴ × 3 × 5³ × 11 × 197

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 11 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 45,961,344

Proper Divisor Sum 32,959,344

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #13001993 ← → #13002019

Radix Representation

Decimal	13002000
Binary	110001100110010100010000 (24 bits)
Octal	0o61462420
Hexadecimal	0xC66510

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 197 200 220 240 250 264 275 300 330 375 394 400 440 500 528 550 591 600 660 750 788 825 880 985

Collatz Trajectory (210 steps to reach 1)

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

13,002,000 6,501,000 3,250,500 1,625,250 812,625 2,437,876 1,218,938 609,469 1,828,408 914,204 457,102 228,551 685,654 342,827 1,028,482 514,241 1,542,724 771,362 385,681 1,157,044 578,522 289,261 867,784 433,892 216,946 108,473 325,420 162,710 81,355 244,066 122,033 366,100 183,050 91,525 274,576 137,288 68,644 34,322 17,161 51,484 25,742 12,871 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291

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