7,720,225

5² × 308809

Starting at 7,720,225, the Collatz iteration reaches 1 after 111 steps. The first transition is 23160676; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 308809

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,573,110

Proper Divisor Sum 1,852,885

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7720211 ← → #7720241

Radix Representation

Decimal	7720225
Binary	11101011100110100100001 (23 bits)
Octal	0o35346441
Hexadecimal	0x75CD21

Divisor Catalog (6)

1 5 25 308,809 1,544,045 7,720,225

Collatz Trajectory (111 steps to reach 1)

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

7,720,225 23,160,676 11,580,338 5,790,169 17,370,508 8,685,254 4,342,627 13,027,882 6,513,941 19,541,824 9,770,912 4,885,456 2,442,728 1,221,364 610,682 305,341 916,024 458,012 229,006 114,503 343,510 171,755 515,266 257,633 772,900 386,450 193,225 579,676 289,838 144,919 434,758 217,379 652,138 326,069 978,208 489,104 244,552 122,276 61,138 30,569 91,708 45,854 22,927 68,782 34,391 103,174 51,587 154,762 77,381 232,144 116,072 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162

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