9,142,416

2⁴ × 3³ × 21163

9,142,416 factors as 2^4 × 3^3 × 21163. Its 40 positive divisors give a proper-divisor sum of 17,100,944, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 21163

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 26,243,360

Proper Divisor Sum 17,100,944

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9142411 ← → #9142423

Radix Representation

Decimal	9142416
Binary	100010111000000010010000 (24 bits)
Octal	0o42700220
Hexadecimal	0x8B8090

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 21,163 42,326 63,489 84,652 126,978 169,304 190,467 253,956 338,608 380,934 507,912 571,401 761,868 1,015,824 1,142,802 1,523,736 2,285,604 3,047,472 4,571,208 9,142,416

Collatz Trajectory (80 steps to reach 1)

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

9,142,416 4,571,208 2,285,604 1,142,802 571,401 1,714,204 857,102 428,551 1,285,654 642,827 1,928,482 964,241 2,892,724 1,446,362 723,181 2,169,544 1,084,772 542,386 271,193 813,580 406,790 203,395 610,186 305,093 915,280 457,640 228,820 114,410 57,205 171,616 85,808 42,904 21,452 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613

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