λ
Ratio Atlas

51,007,478

2 × 167 × 152717
Deficient Even Composite

51,007,478 factors as 2 × 167 × 152717. Its 8 positive divisors give a proper-divisor sum of 25,962,394, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 167 × 152717
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 76,969,872
Proper Divisor Sum 25,962,394
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #51007477 ← → #51007483

Radix Representation

Decimal 51007478
Binary 11000010100100111111110110 (26 bits)
Octal 0o302447766
Hexadecimal 0x30A4FF6

Divisor Catalog (8)

Collatz Trajectory (150 steps to reach 1)

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

51,007,478 25,503,739 76,511,218 38,255,609 114,766,828 57,383,414 28,691,707 86,075,122 43,037,561 129,112,684 64,556,342 32,278,171 96,834,514 48,417,257 145,251,772 72,625,886 36,312,943 108,938,830 54,469,415 163,408,246 81,704,123 245,112,370 122,556,185 367,668,556 183,834,278 91,917,139 275,751,418 137,875,709 413,627,128 206,813,564 103,406,782 51,703,391 155,110,174 77,555,087 232,665,262 116,332,631 348,997,894 174,498,947 523,496,842 261,748,421 785,245,264 392,622,632 196,311,316 98,155,658 49,077,829 147,233,488 73,616,744 36,808,372 18,404,186 9,202,093 27,606,280 13,803,140 6,901,570 3,450,785 10,352,356 5,176,178 2,588,089 7,764,268 3,882,134 1,941,067

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