9,921,025

5² × 67 × 5923

9,921,025 factors as 5^2 × 67 × 5923. Its 12 positive divisors give a proper-divisor sum of 2,566,767, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 5^2 × 67 × 5923

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,487,792

Proper Divisor Sum 2,566,767

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9921019 ← → #9921053

Radix Representation

Decimal	9921025
Binary	100101110110001000000001 (24 bits)
Octal	0o45661001
Hexadecimal	0x976201

Divisor Catalog (12)

1 5 25 67 335 1,675 5,923 29,615 148,075 396,841 1,984,205 9,921,025

Collatz Trajectory (114 steps to reach 1)

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

9,921,025 29,763,076 14,881,538 7,440,769 22,322,308 11,161,154 5,580,577 16,741,732 8,370,866 4,185,433 12,556,300 6,278,150 3,139,075 9,417,226 4,708,613 14,125,840 7,062,920 3,531,460 1,765,730 882,865 2,648,596 1,324,298 662,149 1,986,448 993,224 496,612 248,306 124,153 372,460 186,230 93,115 279,346 139,673 419,020 209,510 104,755 314,266 157,133 471,400 235,700 117,850 58,925 176,776 88,388 44,194 22,097 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489

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