7,684,755

3 × 5 × 13 × 39409

Starting at 7,684,755, the Collatz iteration reaches 1 after 72 steps. The first transition is 23054266; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 39409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,241,760

Proper Divisor Sum 5,557,005

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7684751 ← → #7684757

Radix Representation

Decimal	7684755
Binary	11101010100001010010011 (23 bits)
Octal	0o35241223
Hexadecimal	0x754293

Divisor Catalog (16)

1 3 5 13 15 39 65 195 39,409 118,227 197,045 512,317 591,135 1,536,951 2,561,585 7,684,755

Collatz Trajectory (72 steps to reach 1)

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

7,684,755 23,054,266 11,527,133 34,581,400 17,290,700 8,645,350 4,322,675 12,968,026 6,484,013 19,452,040 9,726,020 4,863,010 2,431,505 7,294,516 3,647,258 1,823,629 5,470,888 2,735,444 1,367,722 683,861 2,051,584 1,025,792 512,896 256,448 128,224 64,112 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226

← Previous Integer #7,684,754 Browse Full Index Next Integer #7,684,756 →