λ
Prime Ledger

3,987,949

7 × 43 × 13249
Deficient Odd Composite

3,987,949 has the prime decomposition 7 × 43 × 13249. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 43 × 13249
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,664,000
Proper Divisor Sum 676,051
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #3987943 ← → #3988003

Radix Representation

Decimal 3987949
Binary 1111001101100111101101 (22 bits)
Octal 0o17154755
Hexadecimal 0x3CD9ED

Divisor Catalog (8)

1 7 43 301 13,249 92,743 569,707 3,987,949

Collatz Trajectory (123 steps to reach 1)

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

3,987,949 11,963,848 5,981,924 2,990,962 1,495,481 4,486,444 2,243,222 1,121,611 3,364,834 1,682,417 5,047,252 2,523,626 1,261,813 3,785,440 1,892,720 946,360 473,180 236,590 118,295 354,886 177,443 532,330 266,165 798,496 399,248 199,624 99,812 49,906 24,953 74,860 37,430 18,715 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595 319,786 159,893 479,680 239,840 119,920 59,960 29,980 14,990 7,495 22,486 11,243 33,730 16,865 50,596 25,298

More profiles

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