λ
Ratio Atlas

57,726,593

53 × 269 × 4049
Deficient Odd Composite

57,726,593 factors as 53 × 269 × 4049. Its 8 positive divisors give a proper-divisor sum of 1,322,407, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 53 × 269 × 4049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 59,049,000
Proper Divisor Sum 1,322,407
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #57726589 ← → #57726601

Radix Representation

Decimal 57726593
Binary 11011100001101011010000001 (26 bits)
Octal 0o334153201
Hexadecimal 0x370D681

Divisor Catalog (8)

Collatz Trajectory (176 steps to reach 1)

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

57,726,593 173,179,780 86,589,890 43,294,945 129,884,836 64,942,418 32,471,209 97,413,628 48,706,814 24,353,407 73,060,222 36,530,111 109,590,334 54,795,167 164,385,502 82,192,751 246,578,254 123,289,127 369,867,382 184,933,691 554,801,074 277,400,537 832,201,612 416,100,806 208,050,403 624,151,210 312,075,605 936,226,816 468,113,408 234,056,704 117,028,352 58,514,176 29,257,088 14,628,544 7,314,272 3,657,136 1,828,568 914,284 457,142 228,571 685,714 342,857 1,028,572 514,286 257,143 771,430 385,715 1,157,146 578,573 1,735,720 867,860 433,930 216,965 650,896 325,448 162,724 81,362 40,681 122,044 61,022

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