λ
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Atlas › Integer Profiles › Node 60,006,928

60,006,928

24 × 71 × 101 × 523
Deficient Even Composite

60,006,928 factors as 2^4 × 71 × 101 × 523. Its 40 positive divisors give a proper-divisor sum of 59,289,008, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 71 × 101 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 119,295,936
Proper Divisor Sum 59,289,008
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #60006913 ← → #60006929

Radix Representation

Decimal 60006928
Binary 11100100111010001000010000 (26 bits)
Octal 0o344721020
Hexadecimal 0x393A210

Divisor Catalog (40)

1 2 4 8 16 71 101 142 202 284 404 523 568 808 1,046 1,136 1,616 2,092 4,184 7,171 8,368 14,342 28,684 37,133 52,823 57,368 74,266 105,646 114,736 148,532 211,292 297,064 422,584 594,128 845,168 3,750,433 7,500,866 15,001,732 30,003,464 60,006,928

Collatz Trajectory (176 steps to reach 1)

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

60,006,928 30,003,464 15,001,732 7,500,866 3,750,433 11,251,300 5,625,650 2,812,825 8,438,476 4,219,238 2,109,619 6,328,858 3,164,429 9,493,288 4,746,644 2,373,322 1,186,661 3,559,984 1,779,992 889,996 444,998 222,499 667,498 333,749 1,001,248 500,624 250,312 125,156 62,578 31,289 93,868 46,934 23,467 70,402 35,201 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763

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