9,922,000

2⁴ × 5³ × 11² × 41

9,922,000 factors as 2^4 × 5^3 × 11^2 × 41. Its 120 positive divisors give a proper-divisor sum of 17,091,896, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 11^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 27,013,896

Proper Divisor Sum 17,091,896

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #9921997 ← → #9922001

Radix Representation

Decimal	9922000
Binary	100101110110010111010000 (24 bits)
Octal	0o45662720
Hexadecimal	0x9765D0

Divisor Catalog (60 of 120)

1 2 4 5 8 10 11 16 20 22 25 40 41 44 50 55 80 82 88 100 110 121 125 164 176 200 205 220 242 250 275 328 400 410 440 451 484 500 550 605 656 820 880 902 968 1,000 1,025 1,100 1,210 1,375 1,640 1,804 1,936 2,000 2,050 2,200 2,255 2,420 2,750 3,025

Collatz Trajectory (163 steps to reach 1)

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

9,922,000 4,961,000 2,480,500 1,240,250 620,125 1,860,376 930,188 465,094 232,547 697,642 348,821 1,046,464 523,232 261,616 130,808 65,404 32,702 16,351 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344 124,172 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492

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