7,720,325

5² × 308813

Starting at 7,720,325, the Collatz iteration reaches 1 after 235 steps. The first transition is 23160976; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 308813

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,573,234

Proper Divisor Sum 1,852,909

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7720319 ← → #7720331

Radix Representation

Decimal	7720325
Binary	11101011100110110000101 (23 bits)
Octal	0o35346605
Hexadecimal	0x75CD85

Divisor Catalog (6)

1 5 25 308,813 1,544,065 7,720,325

Collatz Trajectory (235 steps to reach 1)

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

7,720,325 23,160,976 11,580,488 5,790,244 2,895,122 1,447,561 4,342,684 2,171,342 1,085,671 3,257,014 1,628,507 4,885,522 2,442,761 7,328,284 3,664,142 1,832,071 5,496,214 2,748,107 8,244,322 4,122,161 12,366,484 6,183,242 3,091,621 9,274,864 4,637,432 2,318,716 1,159,358 579,679 1,739,038 869,519 2,608,558 1,304,279 3,912,838 1,956,419 5,869,258 2,934,629 8,803,888 4,401,944 2,200,972 1,100,486 550,243 1,650,730 825,365 2,476,096 1,238,048 619,024 309,512 154,756 77,378 38,689 116,068 58,034 29,017 87,052 43,526 21,763 65,290 32,645 97,936 48,968

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