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4,123,575

33 × 52 × 41 × 149
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5^2 × 41 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,812,000
Proper Divisor Sum 3,688,425
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4123547 ← → #4123583

Radix Representation

Decimal 4123575
Binary 1111101110101110110111 (22 bits)
Octal 0o17565667
Hexadecimal 0x3EEBB7

Divisor Catalog (48)

1 3 5 9 15 25 27 41 45 75 123 135 149 205 225 369 447 615 675 745 1,025 1,107 1,341 1,845 2,235 3,075 3,725 4,023 5,535 6,109 6,705 9,225 11,175 18,327 20,115 27,675 30,545 33,525 54,981 91,635 100,575 152,725 164,943 274,905 458,175 824,715 1,374,525 4,123,575

Collatz Trajectory (105 steps to reach 1)

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

4,123,575 12,370,726 6,185,363 18,556,090 9,278,045 27,834,136 13,917,068 6,958,534 3,479,267 10,437,802 5,218,901 15,656,704 7,828,352 3,914,176 1,957,088 978,544 489,272 244,636 122,318 61,159 183,478 91,739 275,218 137,609 412,828 206,414 103,207 309,622 154,811 464,434 232,217 696,652 348,326 174,163 522,490 261,245 783,736 391,868 195,934 97,967 293,902 146,951 440,854 220,427 661,282 330,641 991,924 495,962 247,981 743,944 371,972 185,986 92,993 278,980 139,490 69,745 209,236 104,618 52,309 156,928

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