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Atlas › Integer Profiles › Node 77,893,407

77,893,407

35 × 19 × 16871
Deficient Odd Composite

77,893,407 factors as 3^5 × 19 × 16871. Its 24 positive divisors give a proper-divisor sum of 44,934,753, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3^5 × 19 × 16871
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 122,828,160
Proper Divisor Sum 44,934,753
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #77893397 ← → #77893427

Radix Representation

Decimal 77893407
Binary 100101001001000111100011111 (27 bits)
Octal 0o451107437
Hexadecimal 0x4A48F1F

Divisor Catalog (24)

1 3 9 19 27 57 81 171 243 513 1,539 4,617 16,871 50,613 151,839 320,549 455,517 961,647 1,366,551 2,884,941 4,099,653 8,654,823 25,964,469 77,893,407

Collatz Trajectory (179 steps to reach 1)

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

77,893,407 233,680,222 116,840,111 350,520,334 175,260,167 525,780,502 262,890,251 788,670,754 394,335,377 1,183,006,132 591,503,066 295,751,533 887,254,600 443,627,300 221,813,650 110,906,825 332,720,476 166,360,238 83,180,119 249,540,358 124,770,179 374,310,538 187,155,269 561,465,808 280,732,904 140,366,452 70,183,226 35,091,613 105,274,840 52,637,420 26,318,710 13,159,355 39,478,066 19,739,033 59,217,100 29,608,550 14,804,275 44,412,826 22,206,413 66,619,240 33,309,620 16,654,810 8,327,405 24,982,216 12,491,108 6,245,554 3,122,777 9,368,332 4,684,166 2,342,083 7,026,250 3,513,125 10,539,376 5,269,688 2,634,844 1,317,422 658,711 1,976,134 988,067 2,964,202

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