λ
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Atlas › Integer Profiles › Node 30,438,177

30,438,177

3 × 7 × 11 × 17 × 23 × 337
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 17 × 23 × 337
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 56,070,144
Proper Divisor Sum 25,631,967
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #30438169 ← → #30438193

Radix Representation

Decimal 30438177
Binary 1110100000111001100100001 (25 bits)
Octal 0o164071441
Hexadecimal 0x1D07321

Divisor Catalog (60 of 64)

1 3 7 11 17 21 23 33 51 69 77 119 161 187 231 253 337 357 391 483 561 759 1,011 1,173 1,309 1,771 2,359 2,737 3,707 3,927 4,301 5,313 5,729 7,077 7,751 8,211 11,121 12,903 17,187 23,253 25,949 30,107 40,103 54,257 63,019 77,847 85,261 90,321 120,309 131,767 162,771 189,057 255,783 395,301 441,133 596,827 922,369 1,323,399 1,449,437 1,790,481

Collatz Trajectory (312 steps to reach 1)

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

30,438,177 91,314,532 45,657,266 22,828,633 68,485,900 34,242,950 17,121,475 51,364,426 25,682,213 77,046,640 38,523,320 19,261,660 9,630,830 4,815,415 14,446,246 7,223,123 21,669,370 10,834,685 32,504,056 16,252,028 8,126,014 4,063,007 12,189,022 6,094,511 18,283,534 9,141,767 27,425,302 13,712,651 41,137,954 20,568,977 61,706,932 30,853,466 15,426,733 46,280,200 23,140,100 11,570,050 5,785,025 17,355,076 8,677,538 4,338,769 13,016,308 6,508,154 3,254,077 9,762,232 4,881,116 2,440,558 1,220,279 3,660,838 1,830,419 5,491,258 2,745,629 8,236,888 4,118,444 2,059,222 1,029,611 3,088,834 1,544,417 4,633,252 2,316,626 1,158,313

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