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Atlas › Integer Profiles › Node 2,223,975

2,223,975

3 × 52 × 13 × 2281
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 2281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,961,552
Proper Divisor Sum 1,737,577
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2223973 ← → #2223983

Radix Representation

Decimal 2223975
Binary 1000011110111101100111 (22 bits)
Octal 0o10367547
Hexadecimal 0x21EF67

Divisor Catalog (24)

1 3 5 13 15 25 39 65 75 195 325 975 2,281 6,843 11,405 29,653 34,215 57,025 88,959 148,265 171,075 444,795 741,325 2,223,975

Collatz Trajectory (285 steps to reach 1)

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

2,223,975 6,671,926 3,335,963 10,007,890 5,003,945 15,011,836 7,505,918 3,752,959 11,258,878 5,629,439 16,888,318 8,444,159 25,332,478 12,666,239 37,998,718 18,999,359 56,998,078 28,499,039 85,497,118 42,748,559 128,245,678 64,122,839 192,368,518 96,184,259 288,552,778 144,276,389 432,829,168 216,414,584 108,207,292 54,103,646 27,051,823 81,155,470 40,577,735 121,733,206 60,866,603 182,599,810 91,299,905 273,899,716 136,949,858 68,474,929 205,424,788 102,712,394 51,356,197 154,068,592 77,034,296 38,517,148 19,258,574 9,629,287 28,887,862 14,443,931 43,331,794 21,665,897 64,997,692 32,498,846 16,249,423 48,748,270 24,374,135 73,122,406 36,561,203 109,683,610

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