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Atlas › Integer Profiles › Node 45,166,290

45,166,290

2 × 3 × 5 × 13 × 115811
Abundant Even Composite

45,166,290 factors as 2 × 3 × 5 × 13 × 115811. Its 32 positive divisors give a proper-divisor sum of 71,572,206, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 115811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 116,738,496
Proper Divisor Sum 71,572,206
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #45166283 ← → #45166301

Radix Representation

Decimal 45166290
Binary 10101100010010111011010010 (26 bits)
Octal 0o254227322
Hexadecimal 0x2B12ED2

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 115,811 231,622 347,433 579,055 694,866 1,158,110 1,505,543 1,737,165 3,011,086 3,474,330 4,516,629 7,527,715 9,033,258 15,055,430 22,583,145 45,166,290

Collatz Trajectory (204 steps to reach 1)

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

45,166,290 22,583,145 67,749,436 33,874,718 16,937,359 50,812,078 25,406,039 76,218,118 38,109,059 114,327,178 57,163,589 171,490,768 85,745,384 42,872,692 21,436,346 10,718,173 32,154,520 16,077,260 8,038,630 4,019,315 12,057,946 6,028,973 18,086,920 9,043,460 4,521,730 2,260,865 6,782,596 3,391,298 1,695,649 5,086,948 2,543,474 1,271,737 3,815,212 1,907,606 953,803 2,861,410 1,430,705 4,292,116 2,146,058 1,073,029 3,219,088 1,609,544 804,772 402,386 201,193 603,580 301,790 150,895 452,686 226,343 679,030 339,515 1,018,546 509,273 1,527,820 763,910 381,955 1,145,866 572,933 1,718,800

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