7,656,325

5² × 306253

7,656,325 factors as 5^2 × 306253. Its 6 positive divisors give a proper-divisor sum of 1,837,549, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 5^2 × 306253

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,493,874

Proper Divisor Sum 1,837,549

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7656323 ← → #7656331

Radix Representation

Decimal	7656325
Binary	11101001101001110000101 (23 bits)
Octal	0o35151605
Hexadecimal	0x74D385

Divisor Catalog (6)

1 5 25 306,253 1,531,265 7,656,325

Collatz Trajectory (173 steps to reach 1)

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

7,656,325 22,968,976 11,484,488 5,742,244 2,871,122 1,435,561 4,306,684 2,153,342 1,076,671 3,230,014 1,615,007 4,845,022 2,422,511 7,267,534 3,633,767 10,901,302 5,450,651 16,351,954 8,175,977 24,527,932 12,263,966 6,131,983 18,395,950 9,197,975 27,593,926 13,796,963 41,390,890 20,695,445 62,086,336 31,043,168 15,521,584 7,760,792 3,880,396 1,940,198 970,099 2,910,298 1,455,149 4,365,448 2,182,724 1,091,362 545,681 1,637,044 818,522 409,261 1,227,784 613,892 306,946 153,473 460,420 230,210 115,105 345,316 172,658 86,329 258,988 129,494 64,747 194,242 97,121 291,364

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