λ
Prime Ledger

6,471,248

24 × 7 × 19 × 3041
Abundant Even Composite

6,471,248 has the prime decomposition 2^4 × 7 × 19 × 3041. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 3041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,088,320
Proper Divisor Sum 8,617,072
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6471239 ← → #6471251

Radix Representation

Decimal 6471248
Binary 11000101011111001010000 (23 bits)
Octal 0o30537120
Hexadecimal 0x62BE50

Divisor Catalog (40)

1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1,064 2,128 3,041 6,082 12,164 21,287 24,328 42,574 48,656 57,779 85,148 115,558 170,296 231,116 340,592 404,453 462,232 808,906 924,464 1,617,812 3,235,624 6,471,248

Collatz Trajectory (209 steps to reach 1)

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

6,471,248 3,235,624 1,617,812 808,906 404,453 1,213,360 606,680 303,340 151,670 75,835 227,506 113,753 341,260 170,630 85,315 255,946 127,973 383,920 191,960 95,980 47,990 23,995 71,986 35,993 107,980 53,990 26,995 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844

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