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Atlas › Integer Profiles › Node 40,967,152

40,967,152

24 × 127 × 20161
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 127 × 20161
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 80,002,816
Proper Divisor Sum 39,035,664
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40967149 ← → #40967153

Radix Representation

Decimal 40967152
Binary 10011100010001101111110000 (26 bits)
Octal 0o234215760
Hexadecimal 0x2711BF0

Divisor Catalog (20)

1 2 4 8 16 127 254 508 1,016 2,032 20,161 40,322 80,644 161,288 322,576 2,560,447 5,120,894 10,241,788 20,483,576 40,967,152

Collatz Trajectory (253 steps to reach 1)

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

40,967,152 20,483,576 10,241,788 5,120,894 2,560,447 7,681,342 3,840,671 11,522,014 5,761,007 17,283,022 8,641,511 25,924,534 12,962,267 38,886,802 19,443,401 58,330,204 29,165,102 14,582,551 43,747,654 21,873,827 65,621,482 32,810,741 98,432,224 49,216,112 24,608,056 12,304,028 6,152,014 3,076,007 9,228,022 4,614,011 13,842,034 6,921,017 20,763,052 10,381,526 5,190,763 15,572,290 7,786,145 23,358,436 11,679,218 5,839,609 17,518,828 8,759,414 4,379,707 13,139,122 6,569,561 19,708,684 9,854,342 4,927,171 14,781,514 7,390,757 22,172,272 11,086,136 5,543,068 2,771,534 1,385,767 4,157,302 2,078,651 6,235,954 3,117,977 9,353,932

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