7,618,345

5 × 7 × 217667

7,618,345 has digital root 7. The neighboring primes are 7618327 and 7618357; its proper-divisor sum differs from the starting integer by -4,788,626.

Prime Factor Structure

Factorization String 5 × 7 × 217667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,448,064

Proper Divisor Sum 2,829,719

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7618327 ← → #7618357

Radix Representation

Decimal	7618345
Binary	11101000011111100101001 (23 bits)
Octal	0o35037451
Hexadecimal	0x743F29

Divisor Catalog (8)

1 5 7 35 217,667 1,088,335 1,523,669 7,618,345

Collatz Trajectory (142 steps to reach 1)

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

7,618,345 22,855,036 11,427,518 5,713,759 17,141,278 8,570,639 25,711,918 12,855,959 38,567,878 19,283,939 57,851,818 28,925,909 86,777,728 43,388,864 21,694,432 10,847,216 5,423,608 2,711,804 1,355,902 677,951 2,033,854 1,016,927 3,050,782 1,525,391 4,576,174 2,288,087 6,864,262 3,432,131 10,296,394 5,148,197 15,444,592 7,722,296 3,861,148 1,930,574 965,287 2,895,862 1,447,931 4,343,794 2,171,897 6,515,692 3,257,846 1,628,923 4,886,770 2,443,385 7,330,156 3,665,078 1,832,539 5,497,618 2,748,809 8,246,428 4,123,214 2,061,607 6,184,822 3,092,411 9,277,234 4,638,617 13,915,852 6,957,926 3,478,963 10,436,890

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