λ
Integer Codex

2,616,749

2616749
Deficient Odd Prime

For 2,616,749, the 2 positive divisors have a total of 2,616,750. Removing 2,616,749 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2616749
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,616,750
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2616739 ← → #2616767

Radix Representation

Decimal 2616749
Binary 1001111110110110101101 (22 bits)
Octal 0o11766655
Hexadecimal 0x27EDAD

Divisor Catalog (2)

Collatz Trajectory (187 steps to reach 1)

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

2,616,749 7,850,248 3,925,124 1,962,562 981,281 2,943,844 1,471,922 735,961 2,207,884 1,103,942 551,971 1,655,914 827,957 2,483,872 1,241,936 620,968 310,484 155,242 77,621 232,864 116,432 58,216 29,108 14,554 7,277 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646

More profiles

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