7,328,277

3² × 11 × 79 × 937

Starting at 7,328,277, the Collatz iteration reaches 1 after 98 steps. The first transition is 21984832; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 79 × 937

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,706,240

Proper Divisor Sum 4,377,963

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7328273 ← → #7328303

Radix Representation

Decimal	7328277
Binary	11011111101001000010101 (23 bits)
Octal	0o33751025
Hexadecimal	0x6FD215

Divisor Catalog (24)

1 3 9 11 33 79 99 237 711 869 937 2,607 2,811 7,821 8,433 10,307 30,921 74,023 92,763 222,069 666,207 814,253 2,442,759 7,328,277

Collatz Trajectory (98 steps to reach 1)

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

7,328,277 21,984,832 10,992,416 5,496,208 2,748,104 1,374,052 687,026 343,513 1,030,540 515,270 257,635 772,906 386,453 1,159,360 579,680 289,840 144,920 72,460 36,230 18,115 54,346 27,173 81,520 40,760 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295

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