72,717,749

13 × 53 × 105541

72,717,749 factors as 13 × 53 × 105541. Its 8 positive divisors give a proper-divisor sum of 7,072,003, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 13 × 53 × 105541

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 79,789,752

Proper Divisor Sum 7,072,003

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #72717739 ← → #72717751

Radix Representation

Decimal	72717749
Binary	100010101011001010110110101 (27 bits)
Octal	0o425312665
Hexadecimal	0x45595B5

Divisor Catalog (8)

1 13 53 689 105,541 1,372,033 5,593,673 72,717,749

Collatz Trajectory (135 steps to reach 1)

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

72,717,749 218,153,248 109,076,624 54,538,312 27,269,156 13,634,578 6,817,289 20,451,868 10,225,934 5,112,967 15,338,902 7,669,451 23,008,354 11,504,177 34,512,532 17,256,266 8,628,133 25,884,400 12,942,200 6,471,100 3,235,550 1,617,775 4,853,326 2,426,663 7,279,990 3,639,995 10,919,986 5,459,993 16,379,980 8,189,990 4,094,995 12,284,986 6,142,493 18,427,480 9,213,740 4,606,870 2,303,435 6,910,306 3,455,153 10,365,460 5,182,730 2,591,365 7,774,096 3,887,048 1,943,524 971,762 485,881 1,457,644 728,822 364,411 1,093,234 546,617 1,639,852 819,926 409,963 1,229,890 614,945 1,844,836 922,418 461,209

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