72,042,548

2² × 18010637

72,042,548 factors as 2^2 × 18010637. Its 6 positive divisors give a proper-divisor sum of 54,031,918, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 18010637

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 126,074,466

Proper Divisor Sum 54,031,918

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #72042541 ← → #72042557

Radix Representation

Decimal	72042548
Binary	100010010110100100000110100 (27 bits)
Octal	0o422644064
Hexadecimal	0x44B4834

Divisor Catalog (6)

1 2 4 18,010,637 36,021,274 72,042,548

Collatz Trajectory (91 steps to reach 1)

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

72,042,548 36,021,274 18,010,637 54,031,912 27,015,956 13,507,978 6,753,989 20,261,968 10,130,984 5,065,492 2,532,746 1,266,373 3,799,120 1,899,560 949,780 474,890 237,445 712,336 356,168 178,084 89,042 44,521 133,564 66,782 33,391 100,174 50,087 150,262 75,131 225,394 112,697 338,092 169,046 84,523 253,570 126,785 380,356 190,178 95,089 285,268 142,634 71,317 213,952 106,976 53,488 26,744 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116

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