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Atlas › Integer Profiles › Node 36,307,136

36,307,136

26 × 43 × 79 × 167
Abundant Even Composite

36,307,136 factors as 2^6 × 43 × 79 × 167. Its 56 positive divisors give a proper-divisor sum of 38,795,584, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^6 × 43 × 79 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 75,102,720
Proper Divisor Sum 38,795,584
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #36307129 ← → #36307147

Radix Representation

Decimal 36307136
Binary 10001010100000000011000000 (26 bits)
Octal 0o212400300
Hexadecimal 0x22A00C0

Divisor Catalog (56)

1 2 4 8 16 32 43 64 79 86 158 167 172 316 334 344 632 668 688 1,264 1,336 1,376 2,528 2,672 2,752 3,397 5,056 5,344 6,794 7,181 10,688 13,193 13,588 14,362 26,386 27,176 28,724 52,772 54,352 57,448 105,544 108,704 114,896 211,088 217,408 229,792 422,176 459,584 567,299 844,352 1,134,598 2,269,196 4,538,392 9,076,784 18,153,568 36,307,136

Collatz Trajectory (134 steps to reach 1)

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

36,307,136 18,153,568 9,076,784 4,538,392 2,269,196 1,134,598 567,299 1,701,898 850,949 2,552,848 1,276,424 638,212 319,106 159,553 478,660 239,330 119,665 358,996 179,498 89,749 269,248 134,624 67,312 33,656 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362

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