73,777,711

7 × 29 × 363437

73,777,711 factors as 7 × 29 × 363437. Its 8 positive divisors give a proper-divisor sum of 13,447,409, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 7 × 29 × 363437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 87,225,120

Proper Divisor Sum 13,447,409

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #73777709 ← → #73777727

Radix Representation

Decimal	73777711
Binary	100011001011100001000101111 (27 bits)
Octal	0o431341057
Hexadecimal	0x465C22F

Divisor Catalog (8)

1 7 29 203 363,437 2,544,059 10,539,673 73,777,711

Collatz Trajectory (184 steps to reach 1)

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

73,777,711 221,333,134 110,666,567 331,999,702 165,999,851 497,999,554 248,999,777 746,999,332 373,499,666 186,749,833 560,249,500 280,124,750 140,062,375 420,187,126 210,093,563 630,280,690 315,140,345 945,421,036 472,710,518 236,355,259 709,065,778 354,532,889 1,063,598,668 531,799,334 265,899,667 797,699,002 398,849,501 1,196,548,504 598,274,252 299,137,126 149,568,563 448,705,690 224,352,845 673,058,536 336,529,268 168,264,634 84,132,317 252,396,952 126,198,476 63,099,238 31,549,619 94,648,858 47,324,429 141,973,288 70,986,644 35,493,322 17,746,661 53,239,984 26,619,992 13,309,996 6,654,998 3,327,499 9,982,498 4,991,249 14,973,748 7,486,874 3,743,437 11,230,312 5,615,156 2,807,578

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