7,684,785

3² × 5 × 170773

Starting at 7,684,785, the Collatz iteration reaches 1 after 124 steps. The first transition is 23054356; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 170773

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,320,372

Proper Divisor Sum 5,635,587

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7684777 ← → #7684793

Radix Representation

Decimal	7684785
Binary	11101010100001010110001 (23 bits)
Octal	0o35241261
Hexadecimal	0x7542B1

Divisor Catalog (12)

1 3 5 9 15 45 170,773 512,319 853,865 1,536,957 2,561,595 7,684,785

Collatz Trajectory (124 steps to reach 1)

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

7,684,785 23,054,356 11,527,178 5,763,589 17,290,768 8,645,384 4,322,692 2,161,346 1,080,673 3,242,020 1,621,010 810,505 2,431,516 1,215,758 607,879 1,823,638 911,819 2,735,458 1,367,729 4,103,188 2,051,594 1,025,797 3,077,392 1,538,696 769,348 384,674 192,337 577,012 288,506 144,253 432,760 216,380 108,190 54,095 162,286 81,143 243,430 121,715 365,146 182,573 547,720 273,860 136,930 68,465 205,396 102,698 51,349 154,048 77,024 38,512 19,256 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126

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