λ
Prime Ledger

2,731,702

2 × 61 × 22391
Deficient Even Composite

2,731,702 has the prime decomposition 2 × 61 × 22391. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 61 × 22391
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,164,912
Proper Divisor Sum 1,433,210
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2731699 ← → #2731709

Radix Representation

Decimal 2731702
Binary 1010011010111010110110 (22 bits)
Octal 0o12327266
Hexadecimal 0x29AEB6

Divisor Catalog (8)

1 2 61 122 22,391 44,782 1,365,851 2,731,702

Collatz Trajectory (200 steps to reach 1)

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

2,731,702 1,365,851 4,097,554 2,048,777 6,146,332 3,073,166 1,536,583 4,609,750 2,304,875 6,914,626 3,457,313 10,371,940 5,185,970 2,592,985 7,778,956 3,889,478 1,944,739 5,834,218 2,917,109 8,751,328 4,375,664 2,187,832 1,093,916 546,958 273,479 820,438 410,219 1,230,658 615,329 1,845,988 922,994 461,497 1,384,492 692,246 346,123 1,038,370 519,185 1,557,556 778,778 389,389 1,168,168 584,084 292,042 146,021 438,064 219,032 109,516 54,758 27,379 82,138 41,069 123,208 61,604 30,802 15,401 46,204 23,102 11,551 34,654 17,327

More profiles

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