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Atlas › Integer Profiles › Node 73,050,484

73,050,484

22 × 13 × 23 × 103 × 593
Deficient Even Composite

73,050,484 factors as 2^2 × 13 × 23 × 103 × 593. Its 48 positive divisors give a proper-divisor sum of 72,246,668, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 103 × 593
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 145,297,152
Proper Divisor Sum 72,246,668
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #73050473 ← → #73050491

Radix Representation

Decimal 73050484
Binary 100010110101010100101110100 (27 bits)
Octal 0o426524564
Hexadecimal 0x45AA974

Divisor Catalog (48)

1 2 4 13 23 26 46 52 92 103 206 299 412 593 598 1,186 1,196 1,339 2,369 2,372 2,678 4,738 5,356 7,709 9,476 13,639 15,418 27,278 30,797 30,836 54,556 61,079 61,594 122,158 123,188 177,307 244,316 354,614 709,228 794,027 1,404,817 1,588,054 2,809,634 3,176,108 5,619,268 18,262,621 36,525,242 73,050,484

Collatz Trajectory (166 steps to reach 1)

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

73,050,484 36,525,242 18,262,621 54,787,864 27,393,932 13,696,966 6,848,483 20,545,450 10,272,725 30,818,176 15,409,088 7,704,544 3,852,272 1,926,136 963,068 481,534 240,767 722,302 361,151 1,083,454 541,727 1,625,182 812,591 2,437,774 1,218,887 3,656,662 1,828,331 5,484,994 2,742,497 8,227,492 4,113,746 2,056,873 6,170,620 3,085,310 1,542,655 4,627,966 2,313,983 6,941,950 3,470,975 10,412,926 5,206,463 15,619,390 7,809,695 23,429,086 11,714,543 35,143,630 17,571,815 52,715,446 26,357,723 79,073,170 39,536,585 118,609,756 59,304,878 29,652,439 88,957,318 44,478,659 133,435,978 66,717,989 200,153,968 100,076,984

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