λ
Prime Ledger

6,948,898

2 × 11 × 23 × 31 × 443
Deficient Even Composite

6,948,898 has the prime decomposition 2 × 11 × 23 × 31 × 443. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 23 × 31 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,275,712
Proper Divisor Sum 5,326,814
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #6948871 ← → #6948911

Radix Representation

Decimal 6948898
Binary 11010100000100000100010 (23 bits)
Octal 0o32404042
Hexadecimal 0x6A0822

Divisor Catalog (32)

1 2 11 22 23 31 46 62 253 341 443 506 682 713 886 1,426 4,873 7,843 9,746 10,189 13,733 15,686 20,378 27,466 112,079 151,063 224,158 302,126 315,859 631,718 3,474,449 6,948,898

Collatz Trajectory (147 steps to reach 1)

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

6,948,898 3,474,449 10,423,348 5,211,674 2,605,837 7,817,512 3,908,756 1,954,378 977,189 2,931,568 1,465,784 732,892 366,446 183,223 549,670 274,835 824,506 412,253 1,236,760 618,380 309,190 154,595 463,786 231,893 695,680 347,840 173,920 86,960 43,480 21,740 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

More profiles

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