λ
Prime Ledger

2,949,999

3 × 13 × 75641
Deficient Odd Composite

2,949,999 has the prime decomposition 3 × 13 × 75641. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 75641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,235,952
Proper Divisor Sum 1,285,953
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #2949953 ← → #2950001

Radix Representation

Decimal 2949999
Binary 1011010000001101101111 (22 bits)
Octal 0o13201557
Hexadecimal 0x2D036F

Divisor Catalog (8)

1 3 13 39 75,641 226,923 983,333 2,949,999

Collatz Trajectory (76 steps to reach 1)

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

2,949,999 8,849,998 4,424,999 13,274,998 6,637,499 19,912,498 9,956,249 29,868,748 14,934,374 7,467,187 22,401,562 11,200,781 33,602,344 16,801,172 8,400,586 4,200,293 12,600,880 6,300,440 3,150,220 1,575,110 787,555 2,362,666 1,181,333 3,544,000 1,772,000 886,000 443,000 221,500 110,750 55,375 166,126 83,063 249,190 124,595 373,786 186,893 560,680 280,340 140,170 70,085 210,256 105,128 52,564 26,282 13,141 39,424 19,712 9,856 4,928 2,464 1,232 616 308 154 77 232 116 58 29 88

More profiles

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