λ
Sigma Notebook

2,731,510

2 × 5 × 29 × 9419
Deficient Even Composite

2,731,510 is even and not a perfect square. Its factorization is 2 × 5 × 29 × 9419 and its 16 divisors sum to 5,086,800.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 9419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,086,800
Proper Divisor Sum 2,355,290
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2731501 ← → #2731511

Radix Representation

Decimal 2731510
Binary 1010011010110111110110 (22 bits)
Octal 0o12326766
Hexadecimal 0x29ADF6

Divisor Catalog (16)

1 2 5 10 29 58 145 290 9,419 18,838 47,095 94,190 273,151 546,302 1,365,755 2,731,510

Collatz Trajectory (156 steps to reach 1)

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

2,731,510 1,365,755 4,097,266 2,048,633 6,145,900 3,072,950 1,536,475 4,609,426 2,304,713 6,914,140 3,457,070 1,728,535 5,185,606 2,592,803 7,778,410 3,889,205 11,667,616 5,833,808 2,916,904 1,458,452 729,226 364,613 1,093,840 546,920 273,460 136,730 68,365 205,096 102,548 51,274 25,637 76,912 38,456 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484

More profiles

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