λ
Prime Ledger

2,791,438

2 × 13 × 101 × 1063
Deficient Even Composite

2,791,438 has the prime decomposition 2 × 13 × 101 × 1063. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 101 × 1063
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,558,176
Proper Divisor Sum 1,766,738
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2791429 ← → #2791463

Radix Representation

Decimal 2791438
Binary 1010101001100000001110 (22 bits)
Octal 0o12514016
Hexadecimal 0x2A980E

Divisor Catalog (16)

1 2 13 26 101 202 1,063 1,313 2,126 2,626 13,819 27,638 107,363 214,726 1,395,719 2,791,438

Collatz Trajectory (156 steps to reach 1)

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

2,791,438 1,395,719 4,187,158 2,093,579 6,280,738 3,140,369 9,421,108 4,710,554 2,355,277 7,065,832 3,532,916 1,766,458 883,229 2,649,688 1,324,844 662,422 331,211 993,634 496,817 1,490,452 745,226 372,613 1,117,840 558,920 279,460 139,730 69,865 209,596 104,798 52,399 157,198 78,599 235,798 117,899 353,698 176,849 530,548 265,274 132,637 397,912 198,956 99,478 49,739 149,218 74,609 223,828 111,914 55,957 167,872 83,936 41,968 20,984 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710

More profiles

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