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Atlas › Integer Profiles › Node 97,262,000

97,262,000

24 × 53 × 11 × 4421
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^3 × 11 × 4421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 256,617,504
Proper Divisor Sum 159,355,504
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #97261991 ← → #97262003

Radix Representation

Decimal 97262000
Binary 101110011000001100110110000 (27 bits)
Octal 0o563014660
Hexadecimal 0x5CC19B0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1,000 1,100 1,375 2,000 2,200 2,750 4,400 4,421 5,500 8,842 11,000 17,684 22,000 22,105 35,368 44,210 48,631 70,736 88,420 97,262 110,525 176,840 194,524 221,050 243,155 353,680 389,048 442,100 486,310 552,625

Collatz Trajectory (368 steps to reach 1)

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

97,262,000 48,631,000 24,315,500 12,157,750 6,078,875 18,236,626 9,118,313 27,354,940 13,677,470 6,838,735 20,516,206 10,258,103 30,774,310 15,387,155 46,161,466 23,080,733 69,242,200 34,621,100 17,310,550 8,655,275 25,965,826 12,982,913 38,948,740 19,474,370 9,737,185 29,211,556 14,605,778 7,302,889 21,908,668 10,954,334 5,477,167 16,431,502 8,215,751 24,647,254 12,323,627 36,970,882 18,485,441 55,456,324 27,728,162 13,864,081 41,592,244 20,796,122 10,398,061 31,194,184 15,597,092 7,798,546 3,899,273 11,697,820 5,848,910 2,924,455 8,773,366 4,386,683 13,160,050 6,580,025 19,740,076 9,870,038 4,935,019 14,805,058 7,402,529 22,207,588

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