9,810,099

3³ × 13 × 19 × 1471

Starting at 9,810,099, the Collatz iteration reaches 1 after 176 steps. The first transition is 29430298; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 13 × 19 × 1471

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,486,400

Proper Divisor Sum 6,676,301

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9810089 ← → #9810113

Radix Representation

Decimal	9810099
Binary	100101011011000010110011 (24 bits)
Octal	0o45330263
Hexadecimal	0x95B0B3

Divisor Catalog (32)

1 3 9 13 19 27 39 57 117 171 247 351 513 741 1,471 2,223 4,413 6,669 13,239 19,123 27,949 39,717 57,369 83,847 172,107 251,541 363,337 516,321 754,623 1,090,011 3,270,033 9,810,099

Collatz Trajectory (176 steps to reach 1)

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

9,810,099 29,430,298 14,715,149 44,145,448 22,072,724 11,036,362 5,518,181 16,554,544 8,277,272 4,138,636 2,069,318 1,034,659 3,103,978 1,551,989 4,655,968 2,327,984 1,163,992 581,996 290,998 145,499 436,498 218,249 654,748 327,374 163,687 491,062 245,531 736,594 368,297 1,104,892 552,446 276,223 828,670 414,335 1,243,006 621,503 1,864,510 932,255 2,796,766 1,398,383 4,195,150 2,097,575 6,292,726 3,146,363 9,439,090 4,719,545 14,158,636 7,079,318 3,539,659 10,618,978 5,309,489 15,928,468 7,964,234 3,982,117 11,946,352 5,973,176 2,986,588 1,493,294 746,647 2,239,942

← Previous Integer #9,810,098 Browse Full Index Next Integer #9,810,100 →