λ
Ratio Atlas

75,747,473

37 × 1123 × 1823
Deficient Odd Composite

75,747,473 factors as 37 × 1123 × 1823. Its 8 positive divisors give a proper-divisor sum of 2,159,215, so this integer is deficient. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 37 × 1123 × 1823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 77,906,688
Proper Divisor Sum 2,159,215
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #75747457 ← → #75747517

Radix Representation

Decimal 75747473
Binary 100100000111101000010010001 (27 bits)
Octal 0o440750221
Hexadecimal 0x483D091

Divisor Catalog (8)

Collatz Trajectory (259 steps to reach 1)

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

75,747,473 227,242,420 113,621,210 56,810,605 170,431,816 85,215,908 42,607,954 21,303,977 63,911,932 31,955,966 15,977,983 47,933,950 23,966,975 71,900,926 35,950,463 107,851,390 53,925,695 161,777,086 80,888,543 242,665,630 121,332,815 363,998,446 181,999,223 545,997,670 272,998,835 818,996,506 409,498,253 1,228,494,760 614,247,380 307,123,690 153,561,845 460,685,536 230,342,768 115,171,384 57,585,692 28,792,846 14,396,423 43,189,270 21,594,635 64,783,906 32,391,953 97,175,860 48,587,930 24,293,965 72,881,896 36,440,948 18,220,474 9,110,237 27,330,712 13,665,356 6,832,678 3,416,339 10,249,018 5,124,509 15,373,528 7,686,764 3,843,382 1,921,691 5,765,074 2,882,537

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