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3,992,000

26 × 53 × 499
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^3 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 9,906,000
Proper Divisor Sum 5,914,000
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3991997 ← → #3992011

Radix Representation

Decimal 3992000
Binary 1111001110100111000000 (22 bits)
Octal 0o17164700
Hexadecimal 0x3CE9C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 499 500 800 998 1,000 1,600 1,996 2,000 2,495 3,992 4,000 4,990 7,984 8,000 9,980 12,475 15,968 19,960 24,950 31,936 39,920 49,900 62,375 79,840 99,800 124,750 159,680 199,600 249,500 399,200 499,000 798,400 998,000 1,996,000 3,992,000

Collatz Trajectory (92 steps to reach 1)

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

3,992,000 1,996,000 998,000 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118

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