λ
Prime Ledger

2,697,071

132 × 15959
Deficient Odd Composite

2,697,071 has the prime decomposition 13^2 × 15959. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 15959
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,920,680
Proper Divisor Sum 223,609
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2697061 ← → #2697073

Radix Representation

Decimal 2697071
Binary 1010010010011101101111 (22 bits)
Octal 0o12223557
Hexadecimal 0x29276F

Divisor Catalog (6)

1 13 169 15,959 207,467 2,697,071

Collatz Trajectory (143 steps to reach 1)

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

2,697,071 8,091,214 4,045,607 12,136,822 6,068,411 18,205,234 9,102,617 27,307,852 13,653,926 6,826,963 20,480,890 10,240,445 30,721,336 15,360,668 7,680,334 3,840,167 11,520,502 5,760,251 17,280,754 8,640,377 25,921,132 12,960,566 6,480,283 19,440,850 9,720,425 29,161,276 14,580,638 7,290,319 21,870,958 10,935,479 32,806,438 16,403,219 49,209,658 24,604,829 73,814,488 36,907,244 18,453,622 9,226,811 27,680,434 13,840,217 41,520,652 20,760,326 10,380,163 31,140,490 15,570,245 46,710,736 23,355,368 11,677,684 5,838,842 2,919,421 8,758,264 4,379,132 2,189,566 1,094,783 3,284,350 1,642,175 4,926,526 2,463,263 7,389,790 3,694,895

More profiles

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