7,842,215

5 × 313 × 5011

7,842,215 is odd and not a perfect square. Its factorization is 5 × 313 × 5011 and its 8 divisors sum to 9,442,608.

Prime Factor Structure

Factorization String 5 × 313 × 5011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,442,608

Proper Divisor Sum 1,600,393

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7842203 ← → #7842217

Radix Representation

Decimal	7842215
Binary	11101111010100110100111 (23 bits)
Octal	0o35724647
Hexadecimal	0x77A9A7

Divisor Catalog (8)

1 5 313 1,565 5,011 25,055 1,568,443 7,842,215

Collatz Trajectory (155 steps to reach 1)

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

7,842,215 23,526,646 11,763,323 35,289,970 17,644,985 52,934,956 26,467,478 13,233,739 39,701,218 19,850,609 59,551,828 29,775,914 14,887,957 44,663,872 22,331,936 11,165,968 5,582,984 2,791,492 1,395,746 697,873 2,093,620 1,046,810 523,405 1,570,216 785,108 392,554 196,277 588,832 294,416 147,208 73,604 36,802 18,401 55,204 27,602 13,801 41,404 20,702 10,351 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747

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