λ
Prime Ledger

2,720,242

2 × 7 × 83 × 2341
Deficient Even Composite

2,720,242 has the prime decomposition 2 × 7 × 83 × 2341. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 83 × 2341
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,721,472
Proper Divisor Sum 2,001,230
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2720239 ← → #2720243

Radix Representation

Decimal 2720242
Binary 1010011000000111110010 (22 bits)
Octal 0o12300762
Hexadecimal 0x2981F2

Divisor Catalog (16)

1 2 7 14 83 166 581 1,162 2,341 4,682 16,387 32,774 194,303 388,606 1,360,121 2,720,242

Collatz Trajectory (187 steps to reach 1)

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

2,720,242 1,360,121 4,080,364 2,040,182 1,020,091 3,060,274 1,530,137 4,590,412 2,295,206 1,147,603 3,442,810 1,721,405 5,164,216 2,582,108 1,291,054 645,527 1,936,582 968,291 2,904,874 1,452,437 4,357,312 2,178,656 1,089,328 544,664 272,332 136,166 68,083 204,250 102,125 306,376 153,188 76,594 38,297 114,892 57,446 28,723 86,170 43,085 129,256 64,628 32,314 16,157 48,472 24,236 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260

More profiles

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