λ
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Atlas › Integer Profiles › Node 65,940,628

65,940,628

22 × 13 × 41 × 157 × 197
Deficient Even Composite

65,940,628 factors as 2^2 × 13 × 41 × 157 × 197. Its 48 positive divisors give a proper-divisor sum of 62,824,316, so this integer is deficient. The Collatz stopping time is 326 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 41 × 157 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 128,764,944
Proper Divisor Sum 62,824,316
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #65940617 ← → #65940691

Radix Representation

Decimal 65940628
Binary 11111011100010110010010100 (26 bits)
Octal 0o373426224
Hexadecimal 0x3EE2C94

Divisor Catalog (48)

1 2 4 13 26 41 52 82 157 164 197 314 394 533 628 788 1,066 2,041 2,132 2,561 4,082 5,122 6,437 8,077 8,164 10,244 12,874 16,154 25,748 30,929 32,308 61,858 83,681 105,001 123,716 167,362 210,002 334,724 402,077 420,004 804,154 1,268,089 1,608,308 2,536,178 5,072,356 16,485,157 32,970,314 65,940,628

Collatz Trajectory (326 steps to reach 1)

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

65,940,628 32,970,314 16,485,157 49,455,472 24,727,736 12,363,868 6,181,934 3,090,967 9,272,902 4,636,451 13,909,354 6,954,677 20,864,032 10,432,016 5,216,008 2,608,004 1,304,002 652,001 1,956,004 978,002 489,001 1,467,004 733,502 366,751 1,100,254 550,127 1,650,382 825,191 2,475,574 1,237,787 3,713,362 1,856,681 5,570,044 2,785,022 1,392,511 4,177,534 2,088,767 6,266,302 3,133,151 9,399,454 4,699,727 14,099,182 7,049,591 21,148,774 10,574,387 31,723,162 15,861,581 47,584,744 23,792,372 11,896,186 5,948,093 17,844,280 8,922,140 4,461,070 2,230,535 6,691,606 3,345,803 10,037,410 5,018,705 15,056,116

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