λ
Prime Ledger

2,129,729

7 × 19 × 67 × 239
Deficient Odd Composite

2,129,729 has the prime decomposition 7 × 19 × 67 × 239. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 19 × 67 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,611,200
Proper Divisor Sum 481,471
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2129719 ← → #2129741

Radix Representation

Decimal 2129729
Binary 1000000111111101000001 (22 bits)
Octal 0o10077501
Hexadecimal 0x207F41

Divisor Catalog (16)

1 7 19 67 133 239 469 1,273 1,673 4,541 8,911 16,013 31,787 112,091 304,247 2,129,729

Collatz Trajectory (210 steps to reach 1)

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

2,129,729 6,389,188 3,194,594 1,597,297 4,791,892 2,395,946 1,197,973 3,593,920 1,796,960 898,480 449,240 224,620 112,310 56,155 168,466 84,233 252,700 126,350 63,175 189,526 94,763 284,290 142,145 426,436 213,218 106,609 319,828 159,914 79,957 239,872 119,936 59,968 29,984 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534

More profiles

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