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Atlas › Integer Profiles › Node 77,533,134

77,533,134

2 × 3 × 7 × 179 × 10313
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 179 × 10313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 178,225,920
Proper Divisor Sum 100,692,786
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #77533133 ← → #77533187

Radix Representation

Decimal 77533134
Binary 100100111110000111111001110 (27 bits)
Octal 0o447607716
Hexadecimal 0x49F0FCE

Divisor Catalog (32)

1 2 3 6 7 14 21 42 179 358 537 1,074 1,253 2,506 3,759 7,518 10,313 20,626 30,939 61,878 72,191 144,382 216,573 433,146 1,846,027 3,692,054 5,538,081 11,076,162 12,922,189 25,844,378 38,766,567 77,533,134

Collatz Trajectory (179 steps to reach 1)

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

77,533,134 38,766,567 116,299,702 58,149,851 174,449,554 87,224,777 261,674,332 130,837,166 65,418,583 196,255,750 98,127,875 294,383,626 147,191,813 441,575,440 220,787,720 110,393,860 55,196,930 27,598,465 82,795,396 41,397,698 20,698,849 62,096,548 31,048,274 15,524,137 46,572,412 23,286,206 11,643,103 34,929,310 17,464,655 52,393,966 26,196,983 78,590,950 39,295,475 117,886,426 58,943,213 176,829,640 88,414,820 44,207,410 22,103,705 66,311,116 33,155,558 16,577,779 49,733,338 24,866,669 74,600,008 37,300,004 18,650,002 9,325,001 27,975,004 13,987,502 6,993,751 20,981,254 10,490,627 31,471,882 15,735,941 47,207,824 23,603,912 11,801,956 5,900,978 2,950,489

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