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Atlas › Integer Profiles › Node 8,553,048

8,553,048

23 × 3 × 73 × 1039
Abundant Even Composite

8,553,048 factors as 2^3 × 3 × 7^3 × 1039. Its 64 positive divisors give a proper-divisor sum of 16,406,952, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^3 × 1039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,960,000
Proper Divisor Sum 16,406,952
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8553043 ← → #8553073

Radix Representation

Decimal 8553048
Binary 100000101000001001011000 (24 bits)
Octal 0o40501130
Hexadecimal 0x828258

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1,029 1,039 1,176 1,372 2,058 2,078 2,744 3,117 4,116 4,156 6,234 7,273 8,232 8,312 12,468 14,546 21,819 24,936 29,092 43,638 50,911 58,184 87,276 101,822 152,733 174,552 203,644 305,466 356,377 407,288 610,932 712,754 1,069,131 1,221,864 1,425,508

Collatz Trajectory (124 steps to reach 1)

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

8,553,048 4,276,524 2,138,262 1,069,131 3,207,394 1,603,697 4,811,092 2,405,546 1,202,773 3,608,320 1,804,160 902,080 451,040 225,520 112,760 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058

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