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Atlas › Integer Profiles › Node 75,011,024

75,011,024

24 × 11 × 179 × 2381
Abundant Even Composite

75,011,024 factors as 2^4 × 11 × 179 × 2381. Its 40 positive divisors give a proper-divisor sum of 84,487,696, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 179 × 2381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 159,498,720
Proper Divisor Sum 84,487,696
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #75010967 ← → #75011047

Radix Representation

Decimal 75011024
Binary 100011110001001001111010000 (27 bits)
Octal 0o436111720
Hexadecimal 0x47893D0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 179 358 716 1,432 1,969 2,381 2,864 3,938 4,762 7,876 9,524 15,752 19,048 26,191 31,504 38,096 52,382 104,764 209,528 419,056 426,199 852,398 1,704,796 3,409,592 4,688,189 6,819,184 9,376,378 18,752,756 37,505,512 75,011,024

Collatz Trajectory (228 steps to reach 1)

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

75,011,024 37,505,512 18,752,756 9,376,378 4,688,189 14,064,568 7,032,284 3,516,142 1,758,071 5,274,214 2,637,107 7,911,322 3,955,661 11,866,984 5,933,492 2,966,746 1,483,373 4,450,120 2,225,060 1,112,530 556,265 1,668,796 834,398 417,199 1,251,598 625,799 1,877,398 938,699 2,816,098 1,408,049 4,224,148 2,112,074 1,056,037 3,168,112 1,584,056 792,028 396,014 198,007 594,022 297,011 891,034 445,517 1,336,552 668,276 334,138 167,069 501,208 250,604 125,302 62,651 187,954 93,977 281,932 140,966 70,483 211,450 105,725 317,176 158,588 79,294

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