7,729,925

5² × 7 × 44171

7,729,925 factors as 5^2 × 7 × 44171. Its 12 positive divisors give a proper-divisor sum of 3,224,731, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 44171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,954,656

Proper Divisor Sum 3,224,731

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7729919 ← → #7729933

Radix Representation

Decimal	7729925
Binary	11101011111001100000101 (23 bits)
Octal	0o35371405
Hexadecimal	0x75F305

Divisor Catalog (12)

1 5 7 25 35 175 44,171 220,855 309,197 1,104,275 1,545,985 7,729,925

Collatz Trajectory (217 steps to reach 1)

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

7,729,925 23,189,776 11,594,888 5,797,444 2,898,722 1,449,361 4,348,084 2,174,042 1,087,021 3,261,064 1,630,532 815,266 407,633 1,222,900 611,450 305,725 917,176 458,588 229,294 114,647 343,942 171,971 515,914 257,957 773,872 386,936 193,468 96,734 48,367 145,102 72,551 217,654 108,827 326,482 163,241 489,724 244,862 122,431 367,294 183,647 550,942 275,471 826,414 413,207 1,239,622 619,811 1,859,434 929,717 2,789,152 1,394,576 697,288 348,644 174,322 87,161 261,484 130,742 65,371 196,114 98,057 294,172

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