λ
Prime Ledger

2,790,459

32 × 7 × 44293
Deficient Odd Composite

2,790,459 has the prime decomposition 3^2 × 7 × 44293. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 44293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,606,576
Proper Divisor Sum 1,816,117
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2790451 ← → #2790461

Radix Representation

Decimal 2790459
Binary 1010101001010000111011 (22 bits)
Octal 0o12512073
Hexadecimal 0x2A943B

Divisor Catalog (12)

1 3 7 9 21 63 44,293 132,879 310,051 398,637 930,153 2,790,459

Collatz Trajectory (143 steps to reach 1)

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

2,790,459 8,371,378 4,185,689 12,557,068 6,278,534 3,139,267 9,417,802 4,708,901 14,126,704 7,063,352 3,531,676 1,765,838 882,919 2,648,758 1,324,379 3,973,138 1,986,569 5,959,708 2,979,854 1,489,927 4,469,782 2,234,891 6,704,674 3,352,337 10,057,012 5,028,506 2,514,253 7,542,760 3,771,380 1,885,690 942,845 2,828,536 1,414,268 707,134 353,567 1,060,702 530,351 1,591,054 795,527 2,386,582 1,193,291 3,579,874 1,789,937 5,369,812 2,684,906 1,342,453 4,027,360 2,013,680 1,006,840 503,420 251,710 125,855 377,566 188,783 566,350 283,175 849,526 424,763 1,274,290 637,145

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