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Atlas › Integer Profiles › Node 73,102,484

73,102,484

22 × 7 × 13 × 47 × 4273
Abundant Even Composite

73,102,484 factors as 2^2 × 7 × 13 × 47 × 4273. Its 48 positive divisors give a proper-divisor sum of 87,736,684, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 47 × 4273
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 160,839,168
Proper Divisor Sum 87,736,684
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #73102483 ← → #73102501

Radix Representation

Decimal 73102484
Binary 100010110110111010010010100 (27 bits)
Octal 0o426672224
Hexadecimal 0x45B7494

Divisor Catalog (48)

1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 658 1,222 1,316 2,444 4,273 4,277 8,546 8,554 17,092 17,108 29,911 55,549 59,822 111,098 119,644 200,831 222,196 388,843 401,662 777,686 803,324 1,405,817 1,555,372 2,610,803 2,811,634 5,221,606 5,623,268 10,443,212 18,275,621 36,551,242 73,102,484

Collatz Trajectory (171 steps to reach 1)

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

73,102,484 36,551,242 18,275,621 54,826,864 27,413,432 13,706,716 6,853,358 3,426,679 10,280,038 5,140,019 15,420,058 7,710,029 23,130,088 11,565,044 5,782,522 2,891,261 8,673,784 4,336,892 2,168,446 1,084,223 3,252,670 1,626,335 4,879,006 2,439,503 7,318,510 3,659,255 10,977,766 5,488,883 16,466,650 8,233,325 24,699,976 12,349,988 6,174,994 3,087,497 9,262,492 4,631,246 2,315,623 6,946,870 3,473,435 10,420,306 5,210,153 15,630,460 7,815,230 3,907,615 11,722,846 5,861,423 17,584,270 8,792,135 26,376,406 13,188,203 39,564,610 19,782,305 59,346,916 29,673,458 14,836,729 44,510,188 22,255,094 11,127,547 33,382,642 16,691,321

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