9,804,275

5² × 13 × 97 × 311

Starting at 9,804,275, the Collatz iteration reaches 1 after 114 steps. The first transition is 29412826; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 97 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,269,984

Proper Divisor Sum 3,465,709

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9804269 ← → #9804281

Radix Representation

Decimal	9804275
Binary	100101011001100111110011 (24 bits)
Octal	0o45314763
Hexadecimal	0x9599F3

Divisor Catalog (24)

1 5 13 25 65 97 311 325 485 1,261 1,555 2,425 4,043 6,305 7,775 20,215 30,167 31,525 101,075 150,835 392,171 754,175 1,960,855 9,804,275

Collatz Trajectory (114 steps to reach 1)

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

9,804,275 29,412,826 14,706,413 44,119,240 22,059,620 11,029,810 5,514,905 16,544,716 8,272,358 4,136,179 12,408,538 6,204,269 18,612,808 9,306,404 4,653,202 2,326,601 6,979,804 3,489,902 1,744,951 5,234,854 2,617,427 7,852,282 3,926,141 11,778,424 5,889,212 2,944,606 1,472,303 4,416,910 2,208,455 6,625,366 3,312,683 9,938,050 4,969,025 14,907,076 7,453,538 3,726,769 11,180,308 5,590,154 2,795,077 8,385,232 4,192,616 2,096,308 1,048,154 524,077 1,572,232 786,116 393,058 196,529 589,588 294,794 147,397 442,192 221,096 110,548 55,274 27,637 82,912 41,456 20,728 10,364

← Previous Integer #9,804,274 Browse Full Index Next Integer #9,804,276 →