λ
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Atlas › Integer Profiles › Node 57,320,175

57,320,175

3 × 52 × 11 × 17 × 61 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 17 × 61 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 112,921,344
Proper Divisor Sum 55,601,169
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #57320171 ← → #57320177

Radix Representation

Decimal 57320175
Binary 11011010101010001011101111 (26 bits)
Octal 0o332521357
Hexadecimal 0x36AA2EF

Divisor Catalog (60 of 96)

1 3 5 11 15 17 25 33 51 55 61 67 75 85 165 183 187 201 255 275 305 335 425 561 671 737 825 915 935 1,005 1,037 1,139 1,275 1,525 1,675 2,013 2,211 2,805 3,111 3,355 3,417 3,685 4,087 4,575 4,675 5,025 5,185 5,695 10,065 11,055 11,407 12,261 12,529 14,025 15,555 16,775 17,085 18,425 20,435 25,925

Collatz Trajectory (207 steps to reach 1)

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

57,320,175 171,960,526 85,980,263 257,940,790 128,970,395 386,911,186 193,455,593 580,366,780 290,183,390 145,091,695 435,275,086 217,637,543 652,912,630 326,456,315 979,368,946 489,684,473 1,469,053,420 734,526,710 367,263,355 1,101,790,066 550,895,033 1,652,685,100 826,342,550 413,171,275 1,239,513,826 619,756,913 1,859,270,740 929,635,370 464,817,685 1,394,453,056 697,226,528 348,613,264 174,306,632 87,153,316 43,576,658 21,788,329 65,364,988 32,682,494 16,341,247 49,023,742 24,511,871 73,535,614 36,767,807 110,303,422 55,151,711 165,455,134 82,727,567 248,182,702 124,091,351 372,274,054 186,137,027 558,411,082 279,205,541 837,616,624 418,808,312 209,404,156 104,702,078 52,351,039 157,053,118 78,526,559

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