7,567,725

3 × 5² × 11 × 9173

Starting at 7,567,725, the Collatz iteration reaches 1 after 248 steps. The first transition is 22703176; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 9173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,650,912

Proper Divisor Sum 6,083,187

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7567709 ← → #7567793

Radix Representation

Decimal	7567725
Binary	11100110111100101101101 (23 bits)
Octal	0o34674555
Hexadecimal	0x73796D

Divisor Catalog (24)

1 3 5 11 15 25 33 55 75 165 275 825 9,173 27,519 45,865 100,903 137,595 229,325 302,709 504,515 687,975 1,513,545 2,522,575 7,567,725

Collatz Trajectory (248 steps to reach 1)

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

7,567,725 22,703,176 11,351,588 5,675,794 2,837,897 8,513,692 4,256,846 2,128,423 6,385,270 3,192,635 9,577,906 4,788,953 14,366,860 7,183,430 3,591,715 10,775,146 5,387,573 16,162,720 8,081,360 4,040,680 2,020,340 1,010,170 505,085 1,515,256 757,628 378,814 189,407 568,222 284,111 852,334 426,167 1,278,502 639,251 1,917,754 958,877 2,876,632 1,438,316 719,158 359,579 1,078,738 539,369 1,618,108 809,054 404,527 1,213,582 606,791 1,820,374 910,187 2,730,562 1,365,281 4,095,844 2,047,922 1,023,961 3,071,884 1,535,942 767,971 2,303,914 1,151,957 3,455,872 1,727,936

← Previous Integer #7,567,724 Browse Full Index Next Integer #7,567,726 →