λ
Prime Ledger

7,716,065

5 × 7 × 449 × 491
Deficient Odd Composite

7,716,065 has the prime decomposition 5 × 7 × 449 × 491. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 449 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,627,200
Proper Divisor Sum 2,911,135
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7716053 ← → #7716089

Radix Representation

Decimal 7716065
Binary 11101011011110011100001 (23 bits)
Octal 0o35336341
Hexadecimal 0x75BCE1

Divisor Catalog (16)

1 5 7 35 449 491 2,245 2,455 3,143 3,437 15,715 17,185 220,459 1,102,295 1,543,213 7,716,065

Collatz Trajectory (173 steps to reach 1)

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

7,716,065 23,148,196 11,574,098 5,787,049 17,361,148 8,680,574 4,340,287 13,020,862 6,510,431 19,531,294 9,765,647 29,296,942 14,648,471 43,945,414 21,972,707 65,918,122 32,959,061 98,877,184 49,438,592 24,719,296 12,359,648 6,179,824 3,089,912 1,544,956 772,478 386,239 1,158,718 579,359 1,738,078 869,039 2,607,118 1,303,559 3,910,678 1,955,339 5,866,018 2,933,009 8,799,028 4,399,514 2,199,757 6,599,272 3,299,636 1,649,818 824,909 2,474,728 1,237,364 618,682 309,341 928,024 464,012 232,006 116,003 348,010 174,005 522,016 261,008 130,504 65,252 32,626 16,313 48,940

More profiles

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