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Atlas › Integer Profiles › Node 4,100,745

4,100,745

3 × 5 × 11 × 29 × 857
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 29 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,413,120
Proper Divisor Sum 3,312,375
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4100743 ← → #4100749

Radix Representation

Decimal 4100745
Binary 1111101001001010001001 (22 bits)
Octal 0o17511211
Hexadecimal 0x3E9289

Divisor Catalog (32)

1 3 5 11 15 29 33 55 87 145 165 319 435 857 957 1,595 2,571 4,285 4,785 9,427 12,855 24,853 28,281 47,135 74,559 124,265 141,405 273,383 372,795 820,149 1,366,915 4,100,745

Collatz Trajectory (335 steps to reach 1)

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

4,100,745 12,302,236 6,151,118 3,075,559 9,226,678 4,613,339 13,840,018 6,920,009 20,760,028 10,380,014 5,190,007 15,570,022 7,785,011 23,355,034 11,677,517 35,032,552 17,516,276 8,758,138 4,379,069 13,137,208 6,568,604 3,284,302 1,642,151 4,926,454 2,463,227 7,389,682 3,694,841 11,084,524 5,542,262 2,771,131 8,313,394 4,156,697 12,470,092 6,235,046 3,117,523 9,352,570 4,676,285 14,028,856 7,014,428 3,507,214 1,753,607 5,260,822 2,630,411 7,891,234 3,945,617 11,836,852 5,918,426 2,959,213 8,877,640 4,438,820 2,219,410 1,109,705 3,329,116 1,664,558 832,279 2,496,838 1,248,419 3,745,258 1,872,629 5,617,888

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