9,850,025

5² × 47 × 83 × 101

9,850,025 factors as 5^2 × 47 × 83 × 101. Its 24 positive divisors give a proper-divisor sum of 2,899,159, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 5^2 × 47 × 83 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,749,184

Proper Divisor Sum 2,899,159

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9850013 ← → #9850067

Radix Representation

Decimal	9850025
Binary	100101100100110010101001 (24 bits)
Octal	0o45446251
Hexadecimal	0x964CA9

Divisor Catalog (24)

1 5 25 47 83 101 235 415 505 1,175 2,075 2,525 3,901 4,747 8,383 19,505 23,735 41,915 97,525 118,675 209,575 394,001 1,970,005 9,850,025

Collatz Trajectory (88 steps to reach 1)

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

9,850,025 29,550,076 14,775,038 7,387,519 22,162,558 11,081,279 33,243,838 16,621,919 49,865,758 24,932,879 74,798,638 37,399,319 112,197,958 56,098,979 168,296,938 84,148,469 252,445,408 126,222,704 63,111,352 31,555,676 15,777,838 7,888,919 23,666,758 11,833,379 35,500,138 17,750,069 53,250,208 26,625,104 13,312,552 6,656,276 3,328,138 1,664,069 4,992,208 2,496,104 1,248,052 624,026 312,013 936,040 468,020 234,010 117,005 351,016 175,508 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736

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