λ
Prime Ledger

6,948,247

31 × 53 × 4229
Deficient Odd Composite

6,948,247 has the prime decomposition 31 × 53 × 4229. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 53 × 4229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,309,440
Proper Divisor Sum 361,193
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6948239 ← → #6948251

Radix Representation

Decimal 6948247
Binary 11010100000010110010111 (23 bits)
Octal 0o32402627
Hexadecimal 0x6A0597

Divisor Catalog (8)

1 31 53 1,643 4,229 131,099 224,137 6,948,247

Collatz Trajectory (147 steps to reach 1)

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

6,948,247 20,844,742 10,422,371 31,267,114 15,633,557 46,900,672 23,450,336 11,725,168 5,862,584 2,931,292 1,465,646 732,823 2,198,470 1,099,235 3,297,706 1,648,853 4,946,560 2,473,280 1,236,640 618,320 309,160 154,580 77,290 38,645 115,936 57,968 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206

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