λ
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Atlas › Integer Profiles › Node 75,366,369

75,366,369

34 × 13 × 19 × 3767
Deficient Odd Composite

75,366,369 factors as 3^4 × 13 × 19 × 3767. Its 40 positive divisors give a proper-divisor sum of 52,293,471, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 3^4 × 13 × 19 × 3767
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 127,659,840
Proper Divisor Sum 52,293,471
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #75366337 ← → #75366397

Radix Representation

Decimal 75366369
Binary 100011111011111111111100001 (27 bits)
Octal 0o437377741
Hexadecimal 0x47DFFE1

Divisor Catalog (40)

1 3 9 13 19 27 39 57 81 117 171 247 351 513 741 1,053 1,539 2,223 3,767 6,669 11,301 20,007 33,903 48,971 71,573 101,709 146,913 214,719 305,127 440,739 644,157 930,449 1,322,217 1,932,471 2,791,347 3,966,651 5,797,413 8,374,041 25,122,123 75,366,369

Collatz Trajectory (228 steps to reach 1)

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

75,366,369 226,099,108 113,049,554 56,524,777 169,574,332 84,787,166 42,393,583 127,180,750 63,590,375 190,771,126 95,385,563 286,156,690 143,078,345 429,235,036 214,617,518 107,308,759 321,926,278 160,963,139 482,889,418 241,444,709 724,334,128 362,167,064 181,083,532 90,541,766 45,270,883 135,812,650 67,906,325 203,718,976 101,859,488 50,929,744 25,464,872 12,732,436 6,366,218 3,183,109 9,549,328 4,774,664 2,387,332 1,193,666 596,833 1,790,500 895,250 447,625 1,342,876 671,438 335,719 1,007,158 503,579 1,510,738 755,369 2,266,108 1,133,054 566,527 1,699,582 849,791 2,549,374 1,274,687 3,824,062 1,912,031 5,736,094 2,868,047

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