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Atlas › Integer Profiles › Node 4,100,775

4,100,775

3 × 52 × 7 × 73 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 73 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,928,064
Proper Divisor Sum 3,827,289
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4100749 ← → #4100777

Radix Representation

Decimal 4100775
Binary 1111101001001010100111 (22 bits)
Octal 0o17511247
Hexadecimal 0x3E92A7

Divisor Catalog (48)

1 3 5 7 15 21 25 35 73 75 105 107 175 219 321 365 511 525 535 749 1,095 1,533 1,605 1,825 2,247 2,555 2,675 3,745 5,475 7,665 7,811 8,025 11,235 12,775 18,725 23,433 38,325 39,055 54,677 56,175 117,165 164,031 195,275 273,385 585,825 820,155 1,366,925 4,100,775

Collatz Trajectory (229 steps to reach 1)

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

4,100,775 12,302,326 6,151,163 18,453,490 9,226,745 27,680,236 13,840,118 6,920,059 20,760,178 10,380,089 31,140,268 15,570,134 7,785,067 23,355,202 11,677,601 35,032,804 17,516,402 8,758,201 26,274,604 13,137,302 6,568,651 19,705,954 9,852,977 29,558,932 14,779,466 7,389,733 22,169,200 11,084,600 5,542,300 2,771,150 1,385,575 4,156,726 2,078,363 6,235,090 3,117,545 9,352,636 4,676,318 2,338,159 7,014,478 3,507,239 10,521,718 5,260,859 15,782,578 7,891,289 23,673,868 11,836,934 5,918,467 17,755,402 8,877,701 26,633,104 13,316,552 6,658,276 3,329,138 1,664,569 4,993,708 2,496,854 1,248,427 3,745,282 1,872,641 5,617,924

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