9,201,213

3² × 7 × 146051

9,201,213 factors as 3^2 × 7 × 146051. Its 12 positive divisors give a proper-divisor sum of 5,988,195, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 146051

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,189,408

Proper Divisor Sum 5,988,195

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #9201211 ← → #9201217

Radix Representation

Decimal	9201213
Binary	100011000110011000111101 (24 bits)
Octal	0o43063075
Hexadecimal	0x8C663D

Divisor Catalog (12)

1 3 7 9 21 63 146,051 438,153 1,022,357 1,314,459 3,067,071 9,201,213

Collatz Trajectory (88 steps to reach 1)

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

9,201,213 27,603,640 13,801,820 6,900,910 3,450,455 10,351,366 5,175,683 15,527,050 7,763,525 23,290,576 11,645,288 5,822,644 2,911,322 1,455,661 4,366,984 2,183,492 1,091,746 545,873 1,637,620 818,810 409,405 1,228,216 614,108 307,054 153,527 460,582 230,291 690,874 345,437 1,036,312 518,156 259,078 129,539 388,618 194,309 582,928 291,464 145,732 72,866 36,433 109,300 54,650 27,325 81,976 40,988 20,494 10,247 30,742 15,371 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728

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