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Atlas › Integer Profiles › Node 7,129,655

7,129,655

5 × 13 × 19 × 23 × 251
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 13 × 19 × 23 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,160,640
Proper Divisor Sum 3,030,985
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7129651 ← → #7129673

Radix Representation

Decimal 7129655
Binary 11011001100101000110111 (23 bits)
Octal 0o33145067
Hexadecimal 0x6CCA37

Divisor Catalog (32)

1 5 13 19 23 65 95 115 247 251 299 437 1,235 1,255 1,495 2,185 3,263 4,769 5,681 5,773 16,315 23,845 28,405 28,865 61,997 75,049 109,687 309,985 375,245 548,435 1,425,931 7,129,655

Collatz Trajectory (121 steps to reach 1)

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

7,129,655 21,388,966 10,694,483 32,083,450 16,041,725 48,125,176 24,062,588 12,031,294 6,015,647 18,046,942 9,023,471 27,070,414 13,535,207 40,605,622 20,302,811 60,908,434 30,454,217 91,362,652 45,681,326 22,840,663 68,521,990 34,260,995 102,782,986 51,391,493 154,174,480 77,087,240 38,543,620 19,271,810 9,635,905 28,907,716 14,453,858 7,226,929 21,680,788 10,840,394 5,420,197 16,260,592 8,130,296 4,065,148 2,032,574 1,016,287 3,048,862 1,524,431 4,573,294 2,286,647 6,859,942 3,429,971 10,289,914 5,144,957 15,434,872 7,717,436 3,858,718 1,929,359 5,788,078 2,894,039 8,682,118 4,341,059 13,023,178 6,511,589 19,534,768 9,767,384

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