λ
Prime Ledger

6,378,463

7 × 13 × 29 × 2417
Deficient Odd Composite

6,378,463 has the prime decomposition 7 × 13 × 29 × 2417. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 29 × 2417
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,124,480
Proper Divisor Sum 1,746,017
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6378409 ← → #6378487

Radix Representation

Decimal 6378463
Binary 11000010101001111011111 (23 bits)
Octal 0o30251737
Hexadecimal 0x6153DF

Divisor Catalog (16)

1 7 13 29 91 203 377 2,417 2,639 16,919 31,421 70,093 219,947 490,651 911,209 6,378,463

Collatz Trajectory (72 steps to reach 1)

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

6,378,463 19,135,390 9,567,695 28,703,086 14,351,543 43,054,630 21,527,315 64,581,946 32,290,973 96,872,920 48,436,460 24,218,230 12,109,115 36,327,346 18,163,673 54,491,020 27,245,510 13,622,755 40,868,266 20,434,133 61,302,400 30,651,200 15,325,600 7,662,800 3,831,400 1,915,700 957,850 478,925 1,436,776 718,388 359,194 179,597 538,792 269,396 134,698 67,349 202,048 101,024 50,512 25,256 12,628 6,314 3,157 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34

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