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9,105,048

23 × 34 × 14051
Abundant Even Composite

9,105,048 factors as 2^3 × 3^4 × 14051. Its 40 positive divisors give a proper-divisor sum of 16,399,332, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 14051
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,504,380
Proper Divisor Sum 16,399,332
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9105023 ← → #9105053

Radix Representation

Decimal 9105048
Binary 100010101110111010011000 (24 bits)
Octal 0o42567230
Hexadecimal 0x8AEE98

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 14,051 28,102 42,153 56,204 84,306 112,408 126,459 168,612 252,918 337,224 379,377 505,836 758,754 1,011,672 1,138,131 1,517,508 2,276,262 3,035,016 4,552,524 9,105,048

Collatz Trajectory (88 steps to reach 1)

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

9,105,048 4,552,524 2,276,262 1,138,131 3,414,394 1,707,197 5,121,592 2,560,796 1,280,398 640,199 1,920,598 960,299 2,880,898 1,440,449 4,321,348 2,160,674 1,080,337 3,241,012 1,620,506 810,253 2,430,760 1,215,380 607,690 303,845 911,536 455,768 227,884 113,942 56,971 170,914 85,457 256,372 128,186 64,093 192,280 96,140 48,070 24,035 72,106 36,053 108,160 54,080 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269

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